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A ring and a disc are initially at rest, side by side, at the top of an inclined plane which...

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Two vectors $\vec{A}$ and $\vec{B}$ are defined as $\vec{A}=a \hat{i}$ and $\vec{B}=a(\cos \omega t \hat{i}+\sin \omega t \hat{j})$, where $a$...

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A thermally insulating cylinder has a thermally insulating and frictionless movable partition in the middle, as shown in the figure...

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A pendulum consists of a bob of mass $\mathrm{m}=0.1 \mathrm{~kg}$ and a massless inextensible string of length $\mathrm{L}=1.0 \mathrm{~m}$. It...

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A big drop is formed by coalescing 1000 small droplets of water. The surface energy will become :

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Conductivity of a photodiode starts changing only if the wavelength of incident light is less than . The band gap...

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A disc of radius and mass is rolling horizontally without slipping with speed . It then moves up an inclined...

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A diatomic gas does of work when it is expanded isobarically. The heat given to the gas in the process...

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Using a variable frequency acavoltage source the maximum current measured in the given LCR circuit is 50 mA for $...

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The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at $V_{\mathrm{z}}=5 \mathrm{~V}$ and...

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In an experiment, brass and steel wires of length 1 m each with areas of cross section $1 \mathrm{~mm}^2$ are...

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The space between the plates of a parallel plate capacitor of capacitance $C$ (without any dielectric) is now filled with...

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In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes...

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The equation of the electric field of an electromagnetic wave propagating through free space is given by: $...

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A simple pendulum made of mass 10 g and a metallic wire of length 10 cm is suspended vertically in...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their...

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In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg ,...

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Two small balls with masses m and 2 m are attached to both ends of a rigid rod of length...

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A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity ( $...

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Which one of the following is not a measurable quantity?

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The speed of a longitudinal wave in a metallic bar is $400 \mathrm{~m} / \mathrm{s}$. If the density and Young's...

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A particle starts moving from time $t=0$ and its coordinate is given as $x(t)=4 t^3-3 t$ A. The particle returns...

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Identify the correct statements : A. Electrostatic field lines form closed loops . B. The electric field lines point radially...

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The equivalent resistance between the points $A$ and $B$ in the following circuit is $\frac{x}{5} \Omega$. The value of $x$...

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A convex lens of refractive index 1.5 and focal length $f=18 \mathrm{~cm}$ is immersed in water. The difference in focal...

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A solid sphere of radius 10 cm is rotating about an axis which is at a distance 15 cm from...

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The ratio of de Broglie wavelength of a deutron with kinetic energy $E$ to that of an alpha particle with...

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The displacement of a particle, executing simple harmonic motion with time period $T$, is expressed as $x(t)=A \sin \omega t$,...

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A particle of mass $m$ falls from rest through a resistive medium having resistive force, $F=-k v$, where $v$ is...

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Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side...

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The magnetic field at the centre of a current carrying circular loop of radius $R$ is $16 \mu \mathrm{~T}$. The...

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When both jaws of vernier callipers touch each other, zero mark of the vernier scale is right to zero mark...

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Given below are two statements: Statement I : A plane wave after passing through prism remains as plane wave but...

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A block of mass 5 kg is moving on an inclined plane which makes an angle of $30^{\circ}$ with the...

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Two wires $A$ and $B$ made of different materials of lengths 6.0 cm and 5.4 cm , respectively and area...

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For the two cells having same EMF $E$ and internal resistance $r$, the current passing through the external resistor $...

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In the following $p-V$ diagram the equation of state along the curved path is given by $(V-2)^2=4 a p$ where...

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The magnitudes of power of a biconvex lens (refractive index 1.5) and that of a plano-concave lens (refractive index $=1.7$...

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Assuming in forward bias condition there is a voltage drop of 0.7 V across a silicon diode, the current through...

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Three long straight wires carrying current are arranged mutually parallel as shown in the figure. The force experienced by 15...

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Which of the following best represents the temperature versus heat supplied graph for water, in the range of $-20^{\circ} \mathrm{C}$...

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The electric field of an electromagnetic wave travelling through a medium is given by $...

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Water drops fall from a tap on the floor, 5 m below, at regular intervals of time, the first drop...

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Two circular dises of radius each 10 cm are joined at their centres by a rod of length 30 cm...

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In the potentiometer, when the cell in the secondary circuit is shunted with $4 \Omega$ resistance, the balance is obtained...

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The electric current in the circuit is given as $i=i_0(t / T)$. The r.m.s current for the period $t=0$ to...

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10 kg of ice at $-10^{\circ} \mathrm{C}$ is added to 100 kg of water to lower its temperature from $...

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If $\frac{\tan (\mathrm{A}-\mathrm{B})}{\tan \mathrm{A}}+\frac{\sin ^2 \mathrm{C}}{\sin ^2 \mathrm{~A}}=1, \mathrm{~A}, \mathrm{~B}, \mathrm{C} \in\left(0, \frac{\pi}{2}\right)$, then

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A soap bubble of surface tension $0.04 \mathrm{~N} / \mathrm{m}$ is blown to a diameter of 7 cm . If...

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A point charge $q=1 \mu \mathrm{C}$ is located at a distance 2 cm from one end of a thin insulating...

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Distance between an object and three times magnified real image is 40 cm. The focal length of the mirror used...

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The velocity (v) - Distance (x) graph is shown in figure. Which graph represents acceleration(a) versus distance $(x)$ variation of...

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In the Young's double slit experiment the intensity produced by each one of the individual slits is $I_{\mathrm{o}}$. The distance...

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A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased...

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A flexible chain of mass m hangs between two fixed points at the same level. The inclination of the chain...

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Identify the correct truth table of the given logic circuit.

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A moving coil galvanometer of resistance $100 \Omega$ shows a full scale deflection for a current of 1 mA ....

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A cubical block of density $\rho_b=600 \mathrm{~kg} / \mathrm{m}^3$ floats in a liquid of density $\rho_{\mathrm{e}}=900 \mathrm{~kg} / \mathrm{m}^3$. If...

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Three parallel plate capacitors each with area $A$ and separation $d$ are filled with two dielectric ( $k_1$ and $\mathrm{k}_2$...

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The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an...

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When a light of a given wavelength falls on a metallic surface the stopping potential for photoelectrons is 3.2 V...

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Two identical circular loops P and Q each of radius r are lying in parallel planes such that they have...

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A thin uniform rod $(\mathrm{X})$ of mass M and length L is pivoted at a height $\left(\frac{L}{3}\right)$ as shown in...

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In case of vertical circular motion of a particle by a thread of length $r$ if the tension in the...

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A regular hexagon is formed by six wires each of resistance $r \Omega$ and the corners are joined to the...

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Five persons $P_1, P_2, P_3, P_4$ and $P_5$ recorded object distance $(u)$ and image distance $(v)$ using same convex lens...

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In a vernier callipers, 50 vernier scale divisions are equal to 48 main scale divisions. If one main scale division...

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The reading of the ammeter (A) in steady state in the following circuit (assuming negligible internal resistance of the ammeter)...

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Sixty four rain drops of radius 1 mm each falling down with a terminal velocity of $10 \mathrm{~cm} / \mathrm{s}$...

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In the given figure the blocks $\mathrm{A}, \mathrm{B}$ and $C$ weigh $4 \mathrm{~kg}, 6 \mathrm{~kg}$ and 8 kg respectively. The...

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A voltage regulating circuit consisting of Zener diode, having break-down voltage of 10 V and maximum power dissipation of 0.4...

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A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature $50^{\circ} \mathrm{C}$....

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A short bar magnet placed with its axis at $30^{\circ}$ with an external field of 800 Gauss, experiences a torque...

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Three masses and 400 kg are placed at the vertices of an equilateral triangle with sides 20 m. They are...

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There are three co-centric conducting spherical shells $\mathrm{A}, \mathrm{B}$ and $C$ of radii $\mathrm{a}, \mathrm{b}$ and $c$ respectively $(c>b>a)$ and...

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A boy throws a ball into air at $45^{\circ}$ from the horizontal to land it on a roof of a...

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An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium) and...

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Two masses 400 g and 350 g are suspended from the ends of a light string passing over a heavy...

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The electrostatic potential in a charged spherical region of radius $r$ varies as $V=a r^3+b$, where $a$ and $b$ are...

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A brass wire of length 2 m and radius 1 mm at $27^{\circ} \mathrm{C}$ is held taut between two rigid...

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Given below are two statements: Statement I: For all elements, greater the mass of the nucleus, greater is the binding...

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Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as...

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Two resistors $2 \Omega$ and $3 \Omega$ are connected in the gaps of bridge as shown in figure. The null...

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An object is projected with kinetic energy K from a point A at an angle 60° with the horizontal. The...

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A spring of force constant $15 \mathrm{~N} / \mathrm{m}$ is cut into two pieces. If the ratio of their length...

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In hydrogen atom spectrum, (R → Rydberg's constant) A. the maximum wavelength of the radiation of Lyman series is $...

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Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total...

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In a microscope of tube length 10 cm two convex lenses are arranged with focal length of 2 cm and...

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Two electrons are moving in orbits of two hydrogen like atoms with speeds $3 \times 10^5 \mathrm{~m} / \mathrm{s}$ and...

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The strain-stress plot for materials A, B, C and D is shown in the figure. Which material has the largest...

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The exit surface of a prism with refractive index $n$ is coated with a material having refractive index $\frac{n}{2}$. When...

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Two resistors of $100 \Omega$ each are connected in series with a 9 V battery. A voltmeter of $400 \Omega$...

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Density of water at $4^{\circ} \mathrm{C}$ and $20^{\circ} \mathrm{C}$ are $1000 \mathrm{~kg} / \mathrm{m}^3$ and $998 \mathrm{~kg} / \mathrm{m}^3$ respectively....

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A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$...

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Three charges $+2 q,+3 q$ and $-4 q$ are situated at $(0,-3 a),(2 a, 0)$ and $(-2 a, 0)$ respectively...

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Match the LIST-I with LIST-II Choose the correct answer from

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A wire of uniform resistance $\lambda \Omega / \mathrm{m}$ is bent into a circle of radius $r$ and another piece...

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The velocity of sound in air is doubled when the temperature is raised from $0^{\circ} \mathrm{C}$ to $\alpha^{\circ} \mathrm{C}$. The...

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Suppose there is a uniform circular disc of mass Mkg and radius rm shown in figure. The shaded regions are...

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A ball of radius $r$ and density $\rho$ dropped through a viscous liquid of density $\sigma$ and viscosity $\eta$ attains...

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The moment of inertia of a square loop made of four uniform solid cylinders, each having radius $R$ and length...

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The size of the images of an object, formed by a thin lens are equal when the object is placed...

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The average energy released per fission for the nucleus of ${ }_{92}^{235} \mathrm{U}$ is 190 MeV . When all the...

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Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as...

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A small metallic sphere of diameter 2 mm and density $10.5 \mathrm{~g} / \mathrm{cm}^3$ is dropped in glycerine having viscosity...

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When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that...

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A simple pendulum of string length 30 cm performs 20 oscillations in 10 s . The length of the string...

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The ratio of speeds of electromagnetic waves in vacuum and a medium, having dielectric constant $k=3$ and permeability of $...

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Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length, carries a current...

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A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane...

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A prism of angle $75^{\circ}$ and refractive index $\sqrt{3}$ is coated with thin film of refractive index 1.5 only at...

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One mole of an ideal diatomic gas expands from volume V to 2 V isothermally at a temperature $27^{\circ} \mathrm{C}$...

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The de Broglie wavelength of an oxygen molecule at $27^{\circ} \mathrm{C}$ is $x \times 10^{-12} \mathrm{~m}$. The value of $x$...

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For the given logic gate circuit, which of the following is the correct truth table?

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Four persons measure the length of a rod as $20.00 \mathrm{~cm}, 19.75 \mathrm{~cm}, 17.01 \mathrm{~cm}$ and 18.25 cm . The...

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Which of the following pair of nuclei are isobars of the element?

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Match List - I with List - II. Choose the correct answer from the options given below :

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An air bubble of volume $2.9 \mathrm{~cm}^3$ rises from the bottom of a swimming pool of 5 m deep. At...

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A thin convex lens of focal length 5 cm and a thin concave lens of focal length 4 cm are...

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A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of...

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Inductance of a coil with $10^4$ turns is 10 mH and it is connected to a dc source of 10...

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A circular disc has radius $R_1$ and thickness $T_1$. Another circular disc made of the same material has radius $R_2$...

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A small bob $A$ of mass $m$ is attached to a massless rigid rod of length 1 m pivoted at...

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A thin prism with angle 5° of refractive index 1.72 is combined with another prism of refractive index 1.9 to...

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Two charges $7 \mu \mathrm{C}$ and $-2 \mu \mathrm{C}$ are placed at $(-9,0,0) \mathrm{cm}$ and $(9,0,0) \mathrm{cm}$ respectively in an...

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Two shorts dipoles ( $\mathrm{A}, \mathrm{B}$ ), A having charges $\pm 2 \mu \mathrm{C}$ and length 1 cm and B...

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Statement I: Two forces $(\vec{P}+\vec{Q})$ and $(\vec{P}-\vec{Q})$ where $(\vec{P} \perp \vec{Q})$, when act at an angle $\theta_1$ to each other,...

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A paratrooper jumps from an aeroplane and opens a parachute after $2 s$ of free fall and starts deaccelerating with...

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The current passing through a conducting loop in the form of equilateral triangle of side $4 \sqrt{3} \mathrm{~cm}$ is 2...

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parallel beam of light travelling in air (refractive index 1.0) is incident on a convex spherical glass surface of radius...

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A block is sliding down on an inclined plane of slope $\theta$ and at an instant $t=0$ this block is...

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The electric field of a plane electromagnetic wave, travelling in an unknown nonmagnetic medium is given by, $$ E_y=20 \sin...

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A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio...

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Two loudspeakers ( $L_1$ and $L_2$ ) are placed with a separation of 10 m , as shown in figure....

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The internal energy of a monoatomic gas is 3 nRT . One mole of helium is kept in a cylinder...

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Three identical coils $C_1, C_2$ and $C_3$ are closely placed such that they share a common axis. $C_2$ is exactly...

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Match the LIST-I with LIST-II

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An insulated cylinder of volume $60 \mathrm{~cm}^3$ is filled with a gas at $27^{\circ} \mathrm{C}$ and 2 atmospheric pressure, Then...

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A conducting circular loop is rotated about its diameter at a constant angular speed of 100rad / s in a...

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A simple pendulum has a bob with mass $m$ and charge q . The pendulum string has negligible mass. When...

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A cylindrical conductor of length 2 m and area of cross-section $0.2 \mathrm{~mm}^2$ carries an electric current of 1.6 A...

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Electric field in a region is given by $\vec{E}=A x \hat{i}+B y \hat{j}$, where $A=10 \mathrm{~V} / \mathrm{m}^2$ and $...

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Two masses $m$ and 2 m are connected by a light string going over a pulley (disc) of mass 30...

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The volume of an ideal gas increases 8 times and temperature becomes $(1 / 4)^{\text {th }}$ of initial temperature...

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A capacitor $P$ with capacitance $10 \times 10^{-6} \mathrm{~F}$ is fully charged with a potential difference of 6.0 V and...

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An electric power line having total resistance of $2 \Omega$, delivers 1 kW of power at 250 ym the percentage...

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Consider an equilateral prism (refractive index $\sqrt{2}$ ). A ray of light is incident on its one surface at a...

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Which of the following are true for a single slit diffraction ? A. Width of central maxima increases with increase...

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The correct truth table for the given input data of the following logic gate is : Inputs

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Rods $x$ and $y$ of equal dimensions but of different materials are joined as shown in figure. Temperatures of end...

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Three small identical bubbles of water having same charge on each coalesce to form a bigger bubble. Then the ratio...

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Given below are two statements : Statement I : For a mechanical system of many particles total kinetic energy is...

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In parallax method for the determination of focal length of a concave mirror, the object should always be placed :

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A cylindrical tube $A B$ of length $l$, closed at both ends contains an ideal gas of 1 mol having...

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A uniform bar of length 12 cm and mass 20 m lies on a smooth horizontal table. Two point masses...

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The minimum frequency of photon required to break a particle of mass 15.348 amu into $4 \alpha$ particles is $\_\_\_\_$...

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In an open organ pipe $v_3$ and $v_6$ are $3^{\text {rd }}$ and $6^{\text {th }}$ harmonic frequencies, respectively. If...

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Given below are two statements : Statement I: A satellite is moving around earth in the orbit very close to...

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Net gravitational force at the center of a square is found to be $F_1$ when four particles having mass M...

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If $\epsilon, E$ and $t$ represent the free space permittivity, electric field and time respectively, then the unit of $...

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Given below are two statements : Statement I: An object moves from position $r_1$ to position $r_2$ under a conservative...

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Using a simple pendulum experiment $g$ is determined by measuring its time period $T$. Which of the following plots represent...

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Figure shows the circuit that contains three resistances ( $9 \Omega$ each) and two inductors ( 4 mH each). The...

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The smallest wavelength of Lyman series is 91 nm. The difference between the largest wavelengths of Paschen and Balmer series...

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Five positive charges each having charge $q$ are placed at the vertices of a pentagon as shown in the figure....

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Consider two boxes containing ideal gases $A$ and $B$ such that their temperatures, pressures and number densities are same. The...

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Q JEE MAIN 2026

Find the correct combination of and D inputs which can cause the LED to glow.

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When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height...

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Given below are two statements: Statement I: Pressure of a fluid is exerted only on a solid surface in contact...

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A projectile is thrown upward at an angle $60^{\circ}$ with the horizontal. The speed of the projectile is $...

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The wavelength of light, while it is passing through water is 540 nm . The refractive index of water is...

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A meter bridge with two resistances $\mathrm{R}_1$ and $\mathrm{R}_2$ as shown in figure was balanced (null point) at 40 cm...

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A laser beam has intensity of $4.0 \times 10^{14} \mathrm{~W} / \mathrm{m}^2$. The amplitude of magnetic field associated with beam...

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Q JEE MAIN 2026

Light is incident on a metallic plate having work function $110 \times 10^{-20} \mathrm{~J}$. If the produced photoelectrons have zero...

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In a microscope the objective is having focal length $f_0=2 \mathrm{~cm}$ and eye-piece is having focal length $f_e=4 \mathrm{~cm}$. The...

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Q JEE MAIN 2026

The escape velocity from a spherical planet $A$ is $10 \mathrm{~km} / \mathrm{s}$. The escape velocity from another planet $B$...

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10 mole of oxygen is heated at constant volume from $30^{\circ} \mathrm{C}$ to $40^{\circ} \mathrm{C}$. The change in the internal...

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The heat generated in 1 minute between points $A$ and $B$ in the given circuit, when a battery of $...

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Two identical thin rods of mass $M \mathrm{~kg}$ and length $L \mathrm{~m}$ are connected as shown in figure. Moment of...

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XPQY is a vertical smooth long loop having a total resistance R where PX is parallel to QY and separation...

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A collimated beam of light of diameter 2 mm is propagating along $x$-axis. The beam is required to be expanded...

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An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at...

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Six point charges are kept $60^{\circ}$ apart from each other on the circumference of a circle of radius $R$ as...

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A point charge of $10^{-8} \mathrm{C}$ is placed at origin. The work done in moving a point charge $...

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$7.9 \mathrm{MeV} \alpha$-particle scatters from a target material of atomic number 79 . From the given data the estimated diameter...

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Initially a satellite of 100 kg is in a circular orbit of radius $1.5 \mathrm{R}_{\mathrm{E}}$. This satellite can be moved...

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Two strings $(A, B)$ having linear densities $\mu_A=2 \times 10^{-4} \mathrm{~kg} / \mathrm{m}$ and, $\mu_B=4 \times 10^{-4} \mathrm{~kg} / \mathrm{m}$...

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The given circuit works as :

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A solid sphere of mass 5 kg and radius 10 cm is kept in contact with another solid sphere of...

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An aluminium and steel rods having same lengths and cross-sections are joined to make total length of 120 cm at...

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A diatomic gas $(\gamma=1.4)$ does 100 J of work when it is expanded isobarically. Then the heat given to the...

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In a Young's double slit experiment set up, the two slits are kept 0.4 mm apart and screen is placed...

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A particle having electric charge $3 \times 10^{-19} \mathrm{C}$ and mass $6 \times 10^{-27} \mathrm{~kg}$ is accelerated by applying an...

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The terminal velocity of a metallic ball of radius 6 mm in a viscous fluid is 20 cm/s. The terminal...

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A uniform rod of mass $m$ and length $l$ suspended by means of two identical inextensible light strings as shown...

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An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity, $\sigma=10 \mathrm{mho} / \mathrm{m}$. The ratio of...

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If an alpha particle with energy 7.7 MeV is bombarded on a thin gold foil, the closest distance from nucleus...

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As shown in the diagram, when the incident ray is parallel to base of the prism, the emergent ray grazes...

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A body of mass 2 kg is moving along $x$-direction such that its displacement as function of time is given...

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A light wave described by $E=60\left[\sin \left(3 \times 10^{15}\right) t+\sin \left(12 \times 10^{15}\right) t\right]$ (in SI units) falls on a...

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A large drum having radius $R$ is spinning around its axis with angular velocity $\omega$, as shown in figure. The...

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An infinitely long straight wire carrying current $I$ is bent in a planer shape as shown in the diagram. The...

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The energy of an electron in an orbit of the Bohr's atom is $-0.04 E_0 \mathrm{eV}$ where $\mathrm{E}_0$ is the...

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Two known resistances of $R \Omega$ and $2 R \Omega$ and one unknown resistance $X \Omega$ are connected in a...

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A river of width 200 m is flowing from west to east with a speed of . A boat, moving...

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Surface tension of two liquids (having same densities), $T_1$ and $T_2$, are measured using capillary rise method utilizing two tubes...

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A spherical body of radius $r$ and density $\sigma$ falls freely through a viscous liquid having density $\rho$ and viscosity...

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Keeping the significant figures in view, the sum of the physical quantities 52.01 m, 153.2 m and 0.123 m is...

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A battery with EMF $E$ and internal resistance $r$ is connected across a resistance $R$ The power consumption in $R$...

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Given below are two statements : Statement I: In a Young's double slit experiment, the angular separation of fringes will...

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The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of . The frequency of this simple...

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The pulley shown in figure is made using a thin rim and two rods of length equal to diameter of...

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Two cars A and B each of mass $10^3$kg are moving on parallel tracks separated by a distance of 10...

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The r.m.s. speed of oxygen molecules at 47ºC is equal to that of the hydrogen molecules kept at ….. ºC....

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The electric field in a plane electromagnetic wave is given by : $$ E_y=69 \sin \left[0.6 \times 10^3 x-1.8 \times...

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A parallel plate capacitor has capacitance $C$, when there is vacuum within the parallel plates. A sheet having thickness $...

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A capacitor C is first charged fully with potential difference of V0 and disconnected from the battery. The charged capacitor...

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A current carrying solenoid is placed vertically and a particle of mass $m$ with charge $Q$ is released from rest....

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Consider a modified Bernoulli equation. $$ \left(P+\frac{A}{B t^2}\right)+\rho g(h+B t)+\frac{1}{2} \rho V^2=\text { constant } $$ If $t$ has the...

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A 4 kg mass moves under the influence of a force $\vec{F}=\left(4 t^3 \hat{i}-3 t \hat{j}\right) \mathrm{N}$ where $t$ is...

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Q JEE MAIN 2026

The total length of potentiometer wire AB is 50 cm in the arrangement as shown in figure. If P is...

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In an experiment the values of two spring constants were measured as $k_1=(10 \pm 0.2) \mathrm{N} / \mathrm{m}$ and $...

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Q JEE MAIN 2026

Water flows through a horizontal tube as shown in the figure. The difference in height between the water columns in...

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The charge stored by the capacitor C in the given circuit in the steady state is ….$\mu \mathrm{C}$.

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Consider two identical metallic spheres of radius R each having charge Q and mass m. Their centers have an initial...

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A conducting circular loop of area $1.0 \mathrm{~m}^2$ mmmmm is placed perpendicular to a magnetic field which varies as $...

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A gas based geyser heats water flowing at the rate of 5.0 litres per minute from 27ºC to 87ºC. The...

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Potential energy (V) versus distance (x) is given by the graph. Rank various regions as per the magnitudes of the...

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Q JEE MAIN 2020

A circular coil of radius 10 cm is placed in a uniform magnetic field of $3.0 \times 10^{-5} \mathrm{~T}$ with...

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A 5 F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and...

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When radiation of wavelength $\lambda$ is used to illuminate a metallic surface, the stopping potential is V . When the...

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A small block starts slipping down from a point B on an inclined plane AB, which is making an angle...

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An engine takes in 5 moles of air at $20^{\circ} \mathrm{C}$ and 1 atm , and compresses it adiabatically to...

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A beam of protons with speed $4 \times 10^5 \mathrm{~ms}^{-1}$ enters a uniform magnetic field of 0.3 T at an...

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In a reactor, 2 kg of ${ }_{92} \mathrm{U}^{235}$ fuel is fully used up in 30 days. The energy released...

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A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned...

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A particle of mass $m$ with an initial velocity $u \hat{i}$ collides perfectly elastically with a mass 3 m at...

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Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity $\rho \mathrm{c}$,

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A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases...

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Train $A$ and train $B$ are running on parallel tracks in the opposite directions with speeds of $...

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An amplitude modulated wave is represented by the expression $\mathrm{v}_{\mathrm{m}}=5(1+0.6 \cos 6280 \mathrm{t}) \sin (211 \times 10^4 \mathrm{t}$ ) volts...

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Magnetic materials used for making permanent magnets (P) and magnets in a transformer (T) have different properties of the following,...

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The mass density of a spherical galaxy varies as $\frac{\mathrm{K}}{\mathrm{r}}$ over a large distance ' r ' from its centre....

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If speed V, area A and force F are chosen as fundamental units, then the dimension of Young’s modulus will...

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The least count of the main scale of a vernier callipers is 1 mm . Its vernier scale is divided...

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A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a...

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Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings...

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A bead of mass $m$ stays at point $P(a, b)$ on a wire bent in the shape of a parabola...

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Two identical strings $X$ and $Z$ made of same material have tension $\mathrm{T}_{\mathrm{x}}$ and $\mathrm{T}_{\mathrm{z}}$ in them. If their fundamental...

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A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as...

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Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source (...

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A plane electromagnetic wave, has frequency of $2.0 \times 1010 \mathrm{~Hz}$ and its energy density is $...

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A charged particle (mass $m$ and charge $q$ ) moves along X -axis with velocity V 0 . When it...

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The transfer characteristic curve of a transistor, having input and output resistance $100 \Omega$ and $100 \mathrm{k} \Omega$ respectively, is...

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A light ray enters a solid glass sphere of refractive index $\mu=\sqrt{3}$ at an angle of incidence $60^{\circ}$. The ray...

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A person of mass $M$ is, sitting on a swing of length $L$ and swinging with an angular amplitude $\theta_0$....

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An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is $2 \Omega$. The...

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Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the...

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A particle of mass $m$ is moving along the $x$-axis with initial velocity $u \hat{i}$. It collides elastically with a...

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A wire of density $9 \times 10^{-3} \mathrm{~kg} \mathrm{~cm}^{-3}$ is stretched between two clamps 1 m apart. The resulting strain...

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When M1 gram of ice at $-10^{\circ} \mathrm{C}$ (specific heat $=0.5 \mathrm{cal} \mathrm{g}^{-1 \circ} \mathrm{C}^{-1}$ ) is added to $\mathrm{M}_2$...

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A square shaped hole of side $I=\frac{a}{2}$ is carved out at a distance $d=\frac{a}{2}$ from the centre ' $O$ '...

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A capillary tube made of glass of radius 0.15 mm is dipped vertically in a beaker filled with methylene iodide...

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A man (mass $=50 \mathrm{~kg}$ ) and his son (mass $=20 \mathrm{~kg}$ ) are standing on a frictionless surface facing...

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In the following digital circuit, what will be the output at ‘Z’, when the input (A, B) are (1, 0),...

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A charge $Q$ is distributed over two concentric conducting thin spherical shells radii $r$ and $R(R>r)$. If the surface charge...

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A progressive wave travelling along the positive $x$-direction is represented by $y(x, t)=A \sin (k x-\omega t+\phi)$. Its snapshot at...

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Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The...

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A potentiometer wire $P Q$ of $1 m$ length is connected to a standard cell $E_1$. Another cell $E_2$ of...

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the height ‘h’ at which the weight of a body will be the same as that at the same depth...

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A small point mass carrying some positive charge on it, is released from the edge of a table. There is...

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A particle is moving 5 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle...

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A $10 \mu \mathrm{~F}$ capacitor is fully charged to a potential difference of 50 V . After removing the source...

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A wire carrying current I is bent in the shape ABCDEFA as shown, where rectangle ABCDA and ADEFA are perpendicular...

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An inductance coil has a reactance of $100 \Omega$. When an AC signal of frequency 1000 Hz is applied to...

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The figure shows a region of length ' l ' with a uniform magnetic field of 0.3 T in it...

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The displacement time graph of a particle executing S.H.M is given in figure (sketch is schematic and not to scale)...

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If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for...

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In a hydrogen atom the electron makes a transition from ( $n+1 \alpha_{\sim \sim}^{\text {th }}$ level to the $...

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A heat engine is involved with exchange of heat of 1915 J, – 40J, + 125 J and –Q J,...

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An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are...

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When the temperature of a metal wire is increased from 0°C to 10°C, its length increases by 0.02%. The percentage...

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In a Young’s double slit experiment, 16 fringes are observed in a certain segment of the screen when light of...

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In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by $\hat{\mathrm{k}}$ and $...

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An electromagnetic wave is represented by the electric field $\overrightarrow{\mathbf{E}}=\mathrm{E}_0 \hat{n} \sin [\omega t+(6 y-8 z)]$. Taking unit vectors in...

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A magnetic compass needle oscillates 30 times per minute at a place where the dip is $45^{\circ}$, and 40 times...

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A point dipole $\hat{p}=-p_0 \hat{x}$ is kept at the origin. The potential and electric field due to this dipole on...

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A galvanometer of resistance $100 \Omega$ has 50 divisions on its scale and has sensitivity of $20 \mu \mathrm{~A} /$...

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In a double slit experiment, when a thin film of thickness $t$ having refractive index $\mu$ is introduced in front...

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The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network...

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A shell is fired from a fixed artillery gun with an initial speed $u$ such that it hits the target...

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The value of numerical aperture of the objective lens of a microscope is 1.25. If light of wavelength 5000 Å...

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Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as...

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In the figure shown, after the switch ‘S’ is turned from position ‘A’ to position ‘B’, the energy dissipated in...

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What is the position and nature of image formed by lens combination shown in figure? ( $f_1, f_2$ are focal...

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A light wave is incident normally on a glass slab of refractive index 1.5. If 4% of light gets reflected...

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A particle of mass $m$ moves in a circular orbit in a central potential field $U(r)=\frac{1}{2} k r^2$. If Bohr's...

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The position co-ordinates of a particle moving in a 3-D coordinate system is given by $...

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A point source of light, S is placed at a distance L in front of the centre of plane mirror...

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The top of a water tank is open to air and its water level is maintained. It is giving out...

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A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A...

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A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the...

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A particle A of mass ‘m’ and charge ‘q’ is accelerated by a potential difference of 50 V. Another particle...

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Charge is distributed within a sphere of radius $R$ with volume charge density $\rho(r)=\frac{A}{r^2} e^{\frac{-2 r}{a}}$, where $A$ and a...

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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (...

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Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius...

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A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations;...

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A simple pendulum, made of a string of length $I$ and a bob of mass $m$, is released from a...

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Expression for time in terms of G(universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

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Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod...

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A 100 V carrier wave is made to vary between 160 V and 40 V by a modulating signal. What...

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Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a...

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A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120...

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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having...

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A cylinder of radius $R$ is surrounded by a cylindrical shell of inner radius $R$ and outer radius $2 R$....

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An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer...

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The displacement of a damped harmonic oscillator is given by $x(t)=e^{-0.1 t} \cos (10 \pi t+\phi)$. Here $t$ is in...

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A rod of length 50 cm is pivoted at one end. It is raised such that it makes an angle...

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As shown in the figure, two infinitely long, identical wires are bent by $90^{\circ}$ and placed in such a way...

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Given below in the left column are different modes of communication using the kinds of waves given in the right...

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The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and...

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A current of 5 A passes through a copper conductor (resistivity $=1.7 \times 10^{-8} \Omega \mathrm{~m}$ ) of radius of...

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The output of the given logic circuit is

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In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure

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In a meter bridge, the wire of length 1 m has a nonuniform cross-section such that, the variation $\frac{\mathrm{dR}}{\mathrm{dl}}$ of...

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The electric field of a plane electromagnetic wave is given by $$ \overline{\mathrm{E}}=\mathrm{E}_0 \hat{\mathrm{i}} \cos (\mathrm{kz}) \cos (\omega \mathrm{t}) $$...

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Q JEE MAIN 2019

In a car race on straight road, car A takes a time t less than car B at the finish...

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One plano-convex and one plano-concave lens of same radius of curvature ' R ' but of different materials are joined...

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The magnetic field associated with a light wave is given, at the origin, by $...

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For the given cyclic process CAB as shown for a gas, the work done is

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A proton and an $\alpha$-particle (with their masses in the ratio of $1: 4$ and charges in the ratio of...

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A force acts on a 2 kg object so that its position is given as a function of time as...

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A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane...

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There is a uniform spherically symmetric surface charge density at a distance $\mathrm{R}_0$ from the origin. The charge distribution is...

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The energy required to take a satellite to a height ' $h$ ' above Earth surface (radius of Earth $...

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A travelling harmonic wave is represented by the equation $y(x, t)=10^{-3} \sin (50 t+2 x)$, where $x$ and $y$ are...

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Two Carnot engines A and B are operated in series. The first one, A, receives heat at $T_1(=600 \mathrm{~K})$ and...

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Q JEE MAIN 2019

A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied...

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Two point charges $\mathrm{q}_1(\sqrt{10} \mu \mathrm{C})$ and $\mathrm{q}_2(-25 \mu \mathrm{C})$ are placed on the x -axis at $\mathrm{x}=1 \mathrm{~m}$ and...

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Q JEE-MAIN 2019

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on...

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Q JEE MAIN 2019

The galvanometer deflection, when key $K_1$ is closed but $K_2$ is open, equal $\theta_0$ (see figure). On closing $K_2$ also...

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Q JEE MAIN 2020

A beam of electrons of energy $E$ scatters from a target having atomic spacing of $1 \AA$. The first maximum...

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A series AC circuit containing an inductor ( 20 mH ), a capacitor ( $120 \mu \mathrm{~F}$ ) and a...

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A compound microscope consists of an objective lens of focal length 1 cm and an eyepiece of focal length 5...

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In the figure shown, a circuit contains two identical resistors with resistance $\mathrm{R}=5 \Omega$ and an inductance with $\mathrm{L}=2 \mathrm{mH}$....

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Q JEE MAIN 2029

In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $\lambda=500 \mathrm{~nm}$ is incident...

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If ‘M’ is the mass of water that rises in a capillary tube of radius ‘r’, then mass of water...

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A particle of mass $200 \mathrm{MeV} / \mathrm{c}^2$ collides with a hydrogen atom at rest. Soon after the collision the...

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A ball is thrown vertically up (taken as + z-axis) from the ground. The correct momentum-height (p-h) diagram is:

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Ge and Si diodes start conducting at 0.3 V and 0.7 V respectively. In the following figure if Ge diode...

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A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle...

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Two concentric circular coils, $C_1$ and $C_2$ are placed in the XY plane. $\mathrm{C}_1$ has 500 turns, and a radius...

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One of the two identical conducting wires of length $L$ is bent in the form of a circular loop and...

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A cylinder with fixed capacity of 67.2 lit contains helium gas at STP. The amount of heat needed to raise...

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A thin disc of mass $M$ and radius $R$ has mass per unit area $\sigma(r)=k r^2$ where $r$ is the...

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The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of their densities...

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The value of acceleration due to gravity at Earth's surface is $9.8 \mathrm{~ms}^{-2}$. The altitude above its surface at which...

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In the given circuit, an ideal voltmeter connected across the $10 \Omega$ resistance reads 2 V. The internal resistance r,...

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A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of...

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A moving coil galvanometer allows a full scale current of $10^{-4} \mathrm{~A}$. A series resistance of $2 \mathrm{M} \Omega$ is...

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Q JEE MAIN 2019

Two particles A, B are moving on two concentric circles of radii $R_1$ and $R_2$ with equal angular speed $\omega$....

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The electric field of light wave is given as $...

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Two particles of masses M and 2 M, moving, as shown, with speeds of $10 \mathrm{~m} / \mathrm{s}$ and $...

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A parallel plate capacitor with plates of area $1 \mathrm{~m}^2$ each, are at a separation of 0.1 m . If...

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A force $\vec{F}=(\hat{i}+2 \hat{j}+3 \hat{k}) \mathrm{N}$ acts at a point $(4 \hat{i}+3 \hat{j}+\hat{k}) \mathrm{m}$. Then the magnitude of torque about...

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A square loop of side 2a, and carrying current I, is kept in XZ plane with its centre at origin....

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A plane electromagnetic wave having a frequency $v=23.9 \mathrm{GHz}$ propagates along the positive z-direction in free space. The peak value...

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The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure

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A message signal of frequency 100 MHz and peak voltage 100 V is used to execute amplitude modulation on a...

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Number of molecules in a volume of $4 \mathrm{~cm}^3$ of a perfect monoatomic gas at some temperature T and at...

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A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the...

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An NPN transistor is used in common emitter configuration as an amplifier with $1 \mathrm{k} \Omega$ load resistance. Signal voltage...

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Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capacitances are

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Two particles are projected from the same point with the same speed $u$ such that they have the same range...

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A paramagnetic material has 1028 atoms $/ \mathrm{m}^3$. Its magnetic susceptibility at temperature 350 K is $2.8 \times 10^{-4}$. Its...

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A balloon is moving up in air vertically above a point A on the ground. When it is at a...

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In the given circuit, the charge on $4 \mu \mathrm{~F}$ capacitor will be

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Two radioactive materials A and B have decay constants $10 \lambda$ and $\lambda$, respectively. If initially they have the same...

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A galvanometer of resistance G is converted into a voltmeter of range 0 – 1 V by connecting a resistance...

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The number density of molecules of a gas depends on their distance $r$ from the origin as $n(r)=n_0 e^{\alpha r^4}$....

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A $25 \times 10^{-3} \mathrm{~m}^3$ volume cylinder is filled with 1 mol of $\mathrm{O}_2$ gas at room temperature ( 300...

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A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the...

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In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm from...

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A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air...

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An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature, 300 K . The mean...

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n moles of an ideal gas with constant volume heat capacity CV undergo an isobaric expansion by certain volume. The...

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Half lives of two radioactive nuclei A and B are 10 minutes and 20 minutes, respectively. If, initially a sample...

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Two satellites, $A$ and $B$, have masses $m$ and $2 m$ respectively. $A$ is in a circular orbit of radius...

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A rigid square loop of side ‘a’ and carrying current $\mathrm{l}_2$ is lying on a horizontal surface near a long...

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A uniformly charged ring of radius 3a and total charge q is placed in xy-plane centred at origin. A point...

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Three particles of masses, 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle...

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For a concave lens of focal length f, the relation between object and image distances u and v, respectively, from...

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Let a total charge 2 Q be distributed in a sphere of radius R, with the charge density given by...

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A transformer consisting of 300 turns in the primary and 150 turns in the secondary gives output power of 2.2...

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Q JEE MAIN 2019

In a Frank-Hertz experıment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7...

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The value of the acceleration due to gravity is $\mathrm{g}_1$ at a height $h=\frac{R}{2}$ ( $R=$ radius of the earth)...

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A stationary source emits sound waves of frequency 500 Hz . Two observers moving along a line passing through the...

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Consider an electron in a hydrogen atom, revolving in its second excited state (having radius 4.65 Å). The de-Broglie wavelength...

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A solid sphere of radius R carries a charge Q + q distributed uniformly over its volume. A very small...

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A plano-convex lens (focal length $f_2$, refractive index $\mu_2$, radius of curvature $R$ ) fits exactly into a planoconcave lens(focal...

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Three different processes that can occur in an ideal monoatomic gas are shown in the P vs V diagram. The...

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A system of three charges are placed as shown in the figure : If D >> d, the potential energy...

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A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis,...

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Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a...

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A physical quantity $z$ depends on four observables $a, b, c$ and $d$, as $z=\frac{a^2 b^{\frac{2}{3}}}{\sqrt{c d^3}}$. The percentages of...

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Q JEE MAIN 2019

An HCl molecule has rotational, translational and vibrational motions. If the rms velocity of HCI molecules in its gaseous phase...

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A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force...

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In an amplitude modulator circuit, the carrier wave is given by, $C(t)=4 \sin (20000 \pi t)$ while modulating signal is...

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With increasing biasing voltage of a photodiode, the photocurrent magnitude

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The ratio of the weights of a body on the Earth's surface to that on the surface of a planet...

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To double the covering range of a TV transmission tower, its height should be multiplied by:

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Consider the LR circuit shown in the figure. If the switch $S$ is closed at $t=0$ then the amount of...

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A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move...

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An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scattered...

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A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of...

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Two sources of sound $S_1$ and $S_2$ produce sound waves of same frequency 660 Hz . A listener is moving...

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A particle is moving with speed $v=b \sqrt{x}$ along positive $x$-axis. Calculate the speed of the particle at time $t=\tau$...

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Formation of real image using a biconvex lens is shown below: If the whole set up is immersed in water...

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Two capacitors of capacitances C and 2C are charged to potential differences V and 2V, respectively. These are then connected...

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A transparent cube of side $d$, made of a material of refractive index $\mu_2$, is immersed in a liquid of...

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A particle of mass 20 g is released with an initial velocity $5 \mathrm{~m} / \mathrm{s}$ along the curve from...

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The pressure wave, P = 0.01sin $[1000 \mathrm{t}-3 \mathrm{x}] \mathrm{Nm}^{-2}$ , corresponds to the sound produced by a vibrating blade...

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Q JEE MAIN 2019

A load of mass M kg is suspended from a steel wire of length 2 m and radius 1.0 mm...

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Q JEE MAIN 2019

A smooth wire of length $2 \pi r$ is bent into a circle and kept in a vertical plane. A...

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When a certain photosensistive surface is illuminated with monochromatic light of frequency $v$, the stopping potential for the photo current...

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A moving coil galvanometer has resistance $50 \Omega$ and it indicates full deflection at 4 mA current. A voltmeter is...

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In the given circuit diagram, the currents, $\mathrm{I}_1=-0.3 \mathrm{~A}, \mathrm{I}_4=0.8 \mathrm{~A}$ and $\mathrm{I}_5=0.4 \mathrm{~A}$, are flowing as shown. The currents...

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Q JEE MAIN 2019

Figure shows a DC voltage regulator circuit, with a Zener diode of breakdown voltage = 6 V. If the unregulated...

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A simple harmonic motion is represented by: $$ y=5(\sin 3 \pi t+\sqrt{3} \cos 3 \pi t) c m $$ The...

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A solid sphere, of radius $R$ acquires a terminal velocity $v_1$ when falling (due to gravity) through a viscous fluid...

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The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of...

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A system of three polarizers $P_1, P_2, P_3$ is set up such that the pass axis of $P 3$ is...

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In a radioactive decay chain, the initial nucleus is ${ }_{90}^{232}$ th at the end there are $6 \alpha$-particles and...

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A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB...

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A Carnot engine has an efficiency of $\frac{1}{6}$. When the temperature of the sink is reduced by $62^{\circ} \mathrm{C}$, its...

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The mean intensity of radiation on the surface of the Sun is about $10^8 \mathrm{~W} / \mathrm{m}^2$. The rms value...

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An electron, moving along the x-axis with an initial energy of 100 eV , enters a region of magnetic field...

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In the circuit shown, find $C$ if the effective capacitance of the whole circuit is to be $0.5 \mu F$....

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A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the...

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One kg of water, at $20^{\circ} \mathrm{C}$, is heated in an electric kettle whose heating element has a mean (temperature...

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A spring whose unstretched length is I has a force constant k . The spring is cut into two pieces...

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A vertical closed cylinder is separated into two parts by a frictionless piston of mass $m$ and of negligible thickness....

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In the figure, given that $\mathrm{V}_{\mathrm{BB}}$ supply can vary from 0 to $...

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A moving coil galvanometer, having a resistance G , produces full scale deflection when a current Ig flows through it....

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The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently...

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A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a...

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A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity...

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Arrange the following solutions in the decreasing order of pOH

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Kraft temperature is the temperature

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The incorrect statement is

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A solution of two components containing $n_1$ moles of the $1^{\text {st }}$ component and $n_2$ moles of the $...

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Two wires A and B are carrying currents $\mathrm{I}_1$ and $\mathrm{I}_2$ as shown in the figure. The separation between them...

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The increasing order of $\mathrm{pK}_{\mathrm{b}}$ values of the following compounds is

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A npn transistor operates as a common emitter amplifier, with a power gain of 60 dB. The input circuit resistance...

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The density of a solid metal sphere is determined by measuring its mass and its diameter. The maximum error in...

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Suppose that intensity of a laser is $\left(\frac{315}{\pi}\right) \mathrm{W} / \mathrm{m}^2$. The rms electric field, in units of $...

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In an experiment, the resistance of a material is plotted as a function of temperature (in some range). As shown...

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Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They...

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In a photoelectric effect experiment the threshold wavelength of light is 380 nm . If the wavelength of incident light...

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Initially a gas of diatomic molecules is contained in a cylinder of volume $\mathrm{V}_1$ at a pressure $\mathrm{P}_1$ and temperature...

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A particle of mass $m$ is moving along a trajectory given by $$ \begin{aligned} & x=x_0+a \cos \omega_1 t \\...

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A sound source S is moving along a straight track with speed v , and is emitting sound of frequency...

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A ball is thrown upward with an initial velocity V 0 from the surface of the earth. The motion of...

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You are given that Mass of ${ }_3^{\prime} \mathrm{Li}=7.0160 \mathrm{u}$, Mass of ${ }_2^4 \mathrm{He}=4.0026 \mathrm{u}$ and Mass of $...

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A ray of light AO in vacuum is incident on a glass slab at angle $60^{\circ}$ and refracted at angle...

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Charges $Q_1$ and $Q_2$ are at points $A$ and $B$ of a right angle triangle $O A B$ (see figure)....

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The output characteristics of a transistor is shown in the figure. When $\mathrm{V}_{\mathrm{CE}}$ is 10 V and $\mathrm{I}_{\mathrm{C}}=4.0 \mathrm{~mA}$, then...

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In a series LR circuit, power of 400 W is dissipated from a source of $250 \mathrm{~V}, 50 \mathrm{~Hz}$. The...

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An AC circuit has $\mathrm{R}=100 \Omega, \mathrm{C}=2 \mu \mathrm{~F}$ and $\mathrm{L}=80 \mathrm{mH}$, connected in series. The quality factor of the...

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An engine operates by taking a monatomic ideal gas through the cycle shown in the figure. The percentage efficiency of...

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In the figure below, P and Q are two equally intense coherent sources emitting radiation of wavelength 20 m ....

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An electron, a doubly ionized helium ion ( $\mathrm{He}^{++}$) and a proton are having the same kinetic energy. The relation...

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A Young's double-slit experiment is performed using monochromatic light of wavelength $\lambda$. The intensity of light at a point on...

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The centre of mass of a solid hemisphere of radius 8 cm is x cm from the centre of the...

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Consider the force F on a charge ‘q’ due to a uniformly charged spherical shell of radius R carrying charge...

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A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of...

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The linear mass density of a thin rod $A B$ of length $L$ varies from $A$ to $B$ as $$...

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For the given input voltage waveform $\bigvee_{\text {in }}(t)$, the output voltage waveform $\bigvee_0(t)$, across the capacitor is correctly depicted...

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For a plane electromagnetic wave, the magnetic field at a point x and time t is

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An electron is moving along $+x$ direction with a velocity of $6 \times 10^6 \mathrm{~ms}^{-1}$. It enters a region of...

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A point like object is placed at a distance of 1 m in front of a convex lens of focal...

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When a particle of mass $m$ is attached to a vertical spring of spring constant $k$ and released, its motion...

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Molecules of an ideal gas are known to have three translational degrees of freedom and two rotational degrees of freedom....

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Two planets have masses M and 16M and their radii are a and 2a, respectively. The separation between the centres...

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A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the tip of the...

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Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity $\mathrm{K}_1, \mathrm{~K}_2$ and $\mathrm{K}_3$,...

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Four point masses, each of mass m , are fixed at the corners of a square of side $\ell$. The...

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Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K , the de-Broglie wavelength of nitrogen molecule is...

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Two coaxial discs, having moments of inertia $I_1$ and $\frac{1}{2}$, are rotating with respective angular velocities $\omega_1$ and $\frac{\omega_1}{2}$ about...

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In the figure shown, the current in the 10 V battery is close to

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Two identical electric point dipoles have dipole moments $\overline{\mathrm{p}_1}=\mathrm{p} \hat{\mathrm{i}}$ and $\overline{\mathrm{p}_2}=\mathrm{p} \hat{\mathrm{i}}$ and are held on the $x$ axis...

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A particle of charge $q$ and mass $m$ is moving with a velocity $-v \hat{i}(v \neq 0)$ towards a large...

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An insect is at the bottom of a hemispherical ditch of radius 1 m . It crawls up the ditch...

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A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the pitch...

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A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the...

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In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a molecule varies...

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Shown in the figure is a hollow icecream cone (it open at the top). If its mass is M, radius...

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An object of mass m is suspended at the end of a massless wire of length L and area of...

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A body of mass $\mathrm{m}=10 \mathrm{~kg}$ is attached to one end of a wire of length 0.3 m . The...

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Both the diodes used in the circuit shown are assumed to be ideal and have negligible resistance when these are...

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A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite...

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One end of a straight uniform 1 m long bar is pivoted on horizontal table. It is released from rest...

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If the potential energy between two molecules is given by $\mathrm{U}=\frac{\mathrm{A}}{\mathrm{r}^6}+\frac{\mathrm{B}}{\mathrm{r}^{12}}$, then at equilibrium, separation between molecules, and the potential...

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In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes...

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The distance $x$ covered by a particle in one dimensional motion varies with time $t$ as $x^2=a t^2+$ 2bt +c...

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Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure? where, $...

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Three harmonic waves having equal frequency $v$ and same intensity $\mathrm{I}_0$, have phase angles $0, \frac{\pi}{4}$ and $-\frac{\pi}{4}$ respectively. When...

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Given the masses of various atomic particles $\mathrm{m}_{\mathrm{p}}= 1.0072 \mathrm{u}, \mathrm{m}_{\mathrm{n}}=1.0087 \mathrm{u}, \mathrm{m}_{\mathrm{e}}=0.000548 \mathrm{u}$, $\mathrm{m}_{\mathrm{v}}^{-}=0, \quad \mathrm{~m}_{\mathrm{d}}=2.0141 \mathrm{u}$, where $...

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A quantity $f$ is given by $f=\sqrt{\frac{h c^5}{G}}$ where $c$ is speed of light, $G$ universal gravitational constant and $h$...

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An electric dipole of moment $\vec{p}-=(-\hat{i}-3 \hat{j}+2 \hat{k}) \times 10^{-29}$ C.m is at the origin $(0,0$, 0 ). The electric...

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A square loop of side 2a and carrying current I is kept in xz plane with its centre at origin....

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A vessel of depth 2 h is half filled with a liquid of refractive index $2 \sqrt{2}$ and the upper...

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A body $A$ of mass $m$ is moving in a circular orbit of radius $R$ about a planet. Another body...

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A long straight wire of radius a carries a current distributed uniformly over its crosssection. The ratio of the magnetic...

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Radiation, with wavelength 6561 Å falls on a metal surface to produce photoelectrons. The electrons are made to enter a...

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If the deBroglie wavelength of an electron is equal to $10^{-3}$ times the wavelength of a photon of frequency $...

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Consider a sphere of radius $R$ which carries a uniform charge density $\rho$. If a sphere of radius $\frac{R}{2} \frac{R}{2}$...

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A circuit to verify Ohm’s law uses ammeter and voltmeter in series or parallel connected correctly to the resistor. In...

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Ice at $-20^{\circ} \mathrm{C}$ is added to 50 g of water at $40^{\circ} \mathrm{C}$. When the temperature of the mixture...

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Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres...

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A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this...

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The aperture diameter of a telescope is 5 m . The separation between the moon and the earth is $...

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In the given circuit diagram, a wire is joining points B and D. The current in this wire is:

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In the given circuit the current through Zener Diode is close to

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If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If...

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A satellite is revolving in a circular orbit at a height h from the earth surface, such that h

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A charged particle of mass ' $m$ ' and charge ' $q$ ' moving under the influence of uniform electric...

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Consider two ideal diatomic gases A and B at some temperature $T$. Molecules of the gas $A$ are rigid, and...

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In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves...

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The resistance of the metre bridge AB in given figure is $4 \Omega$. With a cell of emf $\varepsilon=0.5 \mathrm{~V}$...

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A liquid of density  is coming out of a hose pipe of radius a with horizontal speed v and...

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An electromagnetic wave of intensity $50 \mathrm{Wm}^{-2}$ enters in a medium of refractive index ' $n$ ' without any loss....

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Assume that the displacement (s) of air is proportional to the pressure difference $(\Delta \mathrm{p})$ created by a sound wave....

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A hollow spherical shell at outer radius $R$ floats just submerged under the water surface. The inner radius of the...

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A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature...

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A particle is moving along the $x$-axis with its coordinate with time ' $t$ ' given by $x(t)=10+8 t-3 t^2$....

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An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens...

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A body $A$, of mass $m=0.1 \mathrm{~kg}$ has an initial velocity of $3 \hat{i} \mathrm{~ms}^{-1}$. It collides elastically with another...

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A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body...

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A one metre long (both ends open) organ pipe is kept in a gas that has double the density of...

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In the figure shown below, the charge on the left plate of the $10 \mu \mathrm{~F}$ capacitor is $...

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The surface of a metal is illuminated alternately with photons of energies $E_1=4 \mathrm{eV}$ and $E_2=2.5 \mathrm{eV}$ respectively. The ratio...

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Four resistances of $15 \Omega, 12 \Omega, 4 \Omega$ and $10 \Omega$ respectively in cyclic order to form Wheatstone's network....

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A prism of angle $\mathrm{A}=1^{\circ}$ has a refractive index $\mu=1.5$. A good estimate for the minimum angle of deviation (in...

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A thin rod of mass 0.9 kg and length 1 m is suspended, at rest, from one end so that...

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A leak proof cylinder of length 1 m, made of a metal which has very low coefficient of expansion is...

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A helicopter rises from rest on the ground vertically upwards with a constant acceleration g. A food packet is dropped...

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Nitrogen gas is at $300^{\circ} \mathrm{C}$ temperature. The temperature (in K ) at which the rms speed of a $\mathrm{H}_2$...

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Consider a uniform rod of mass $M=4 m$ and length I pivoted about its centre. A mass $m$ moving with...

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In the circuit shown, charge on the 5 $\mu$F capacitor is

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A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Considering only translational...

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The magnifying power of a telescope with tube length 60 cm is 5. What is the focal length of its...

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An infinitely long, straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding...

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Equation of travelling wave on a stretched string of linear density $5 \mathrm{~g} / \mathrm{m}$ is $...

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In an experiment to verify Stokes law, a small spherical ball of radius $r$ and density $\rho$ falls under gravity...

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A body is projected at $t=0$ with a velocity $10 \mathrm{~ms}^{-1}$ at an angle of $60^{\circ}$ with the horizontal. The...

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The velocity (v) and time (t) graph of a body in a straight line motion is shown in the figure....

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Activities of three radioactive substances $\mathrm{A}, \mathrm{B}$ and C are represented by the curves $\mathrm{A}, \mathrm{B}$ and C , in...

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An equilateral triangle ABC is cut from a thin solid sheet of wood. (See figure) D, E and F are...

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Two coherent sources of sound, $S_1$ and $S_2$, produce sound waves of the same wavelength, $\lambda=1 \mathrm{~m}$, in phase. $S_1$...

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A wheel is rotating freely with an angular speed  on a shaft. The moment of inertia of the wheel...

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A galvanometer is used in laboratory for detecting the null point in electrical experiments. If, on passing a current of...

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An electron is constrained to move along the $y$-axis with a speed of 0.1 c ( c is the speed...

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A bullet of mass 5 g , travelling with a speed of 210 $\mathrm{m} / \mathrm{s}$, strikes a fixed wooden...

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An electrical power line, having a total resistance of $2 \Omega$, delivers 1 kW at 220 V . The efficiency...

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In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V . Calculate the radius of...

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A particle undergoing simple harmonic motion has time dependent displacement given by $x(t)=A \sin \frac{\pi t}{90}$ The ratio of kinetic...

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The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which...

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There are two long co-axial solenoids of same length I . The inner and outer coils have radii $\mathrm{r}_1$ and...

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In a Wheatstone bridge (see fig.), Resistances P and Q are approximately equal. When R $=400 \Omega$, the bridge is...

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Three charges Q, +q and +q are placed at the vertices of a right-angle isosceles triangles as shown below. The...

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Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are...

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A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength $980 \AA$. The radius...

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A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of...

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The given graph shows variation (with distance r from centre) of

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The force of interaction between two atoms is given by $\mathrm{F}=\alpha \beta \exp \left(-\frac{\mathrm{x}^2}{\alpha \mathrm{kt}}\right)$; where x is the distance,...

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The critical angle of medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability $\frac{4}{3}$...

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In the circuit shown, the switch $S_1$ is closed at time $t=0$ and the switch $S_2$ is kept open. At...

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The acceleration due to gravity on the earth’s surface at the poles is g and angular velocity of the earth...

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At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed...

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A parallel plate capacitor has plate of length ‘$\ell$’, width ‘w’ and separation of plates is ‘d’. It is connected...

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An amplitude modulated signal is given by $V(t)=10\left[1+0.3 \cos \left(2.2 \times 10^4 t\right)\right] \sin \left(5.5 \times 10^5 t\right)$. Here $t$...

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The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (The...

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In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of...

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In finding the electric field using Gauss law the formula $|\vec{E}|=\frac{q_{\text {enc }}}{\varepsilon_0|A|}$ is applicable. In the formula $\varepsilon_0$ is...

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Three charged particles A, B and C with charges –4q, 2q and –2q are present on the circumference of a...

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A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that...

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The graph which depicts the results of Rutherford gold foil experiment with $\alpha$-particle is $\theta$ : Scattering angle Y: Number...

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A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from...

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The plot that depicts the behavior of the mean free time $\tau$ (time between two successive collisions) for the molecules...

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Two different wires having lengths $L_1$ and $L_2$, and respective temperature coefficient of linear expansion $\alpha_1$ and $\alpha_2$, are joined...

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Consider two solid spheres of radii $R_1=1 m, R_2=2 m$ and masses $M_1$ and $M_2$, respectively. The gravitational field due...

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In the formula $X=5 Y Z^2, X$ and $Z$ have dimensions of capacitance and magnetic field, respectively. What are the...

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Two Zener diodes (A and B) having breakdown voltages of 6 V and 4 V respectively, are connected as shown...

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A thermodynamic cycle xyzx is shown on a V-T diagram The P-V diagram that best describes this cycle is :...

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A solid sphere of mass $M$ and radius $R$ is divided into two unequal parts. The first part has a...

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The correct match between the entries in column I and column II are

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The dimension of stopping potential $V_0$ in photoelectric effect in units of Planck's constant ' $h$ ', speed of light...

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Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges....

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Light is incident normally on a completely absorbing surface with an energy flux of 25 Wcm2. If the surface has...

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The quantities $x=\frac{1}{\sqrt{\mu_0 \varepsilon_0}}, y=\frac{E}{B}$ and $z=\frac{I}{C R}$ are defined where $C$-capacitance, R-Resistance, I-length, E-Electric field, B-magnetic field and $...

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The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it...

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Proton with kinetic energy of 1 MeV moves from south to north. It gets an acceleration of $...

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A submarine experiences a pressure of $5.05 \times 10^6$ Pa at a depth of $\mathrm{d}_1$ in a sea. When it...

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Consider a solid sphere of radius $R$ and mass density $\rho(r)=\rho_0\left(1-\frac{r^2}{R^2}\right), 0

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A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a...

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A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. If...

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A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate $...

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Boolean relation at the output stage-Y for the following circuit is :

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The magnitude of the magnetic field at the center of an equilateral triangular loop of side 1 m which is...

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A coil of self inductance 10 mH and resistance $0.1 \Omega$ is connected through a switch to a battery of...

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Effective capacitance of parallel combination of two capacitors $C_1$ and $C_2$ is $10 \mu F$. When these capacitors are individually...

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The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA . For a...

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Space between two concentric conducting spheres of radii a and $\mathrm{b}(\mathrm{b}>\mathrm{a})$ is filled with a medium of resistivity $\rho$. The...

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When photon of energy 4.0 eV strikes the surface of a metal A , the ejected photoelectrons have maximum kinetic...

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A 2 mW laser operates at a wavelength of 500 nm . The number of photons that will be emitted...

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A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer measures...

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A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E,...

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When heat $Q$ is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by $...

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Water from a tap emerges vertically downwards with an initial speed of $1.0 \mathrm{~ms}^{-1}$. The crosssectional area of the tap...

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Two blocks $A$ and $B$ of masses $m_A=1 \mathrm{~kg}$ and $\mathrm{m}_{\mathrm{B}}=3 \mathrm{~kg}$ are kept on the table as shown in...

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In $\mathrm{Li}^{++}$, electron in first Bohr orbit is excited to a level by a radiation of wavelength $\lambda$. When the...

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The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the...

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Two particles of equal mass $m$ have respective initial velocities $u \hat{i}$ and $u\left(\frac{\hat{i}+\hat{j}}{2}\right)$. They collide completely inelastically. The energy...

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Water flows in a horizontal tube (see figure). The pressure of water changes by $700 \mathrm{Nm}^{-2}$ between A and $B$...

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A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At...

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A cubical block of side 0.5 m floats on water with $30 \%$ of its volume under water. What is...

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A string of length 1 m and mass 5 g is fixed at both ends. The tension in the string...

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A potentiometer wire $A B$ having length $L$ and resistance $12 r$ is joined to a cell $D$ of emf...

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A uniform metallic wire has a resistance of $18 \Omega$ and is bent into an equilateral triangle. Then, the resistance...

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A parallel plate capacitor is of area $6 \mathrm{~cm}^2$ and a separation 3 mm . The gap is filled with...

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Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on...

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The density of a material is SI units is $128 \mathrm{~kg} \mathrm{~m}^{-3}$. In certain units in which the unit of...

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A heat source at $T=10^3 K$ is connected to another heat reservoir at $T=10^2 K$ by a copper slab which...

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In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used....

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An insulating, thin rod of length I has a linear charge density $\rho(x)=\rho_0 \frac{x}{I}$ on it. The rod is rotated...

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The electric fields of two plane electromagnetic plane waves in vacuum are given by $...

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A charge Q is distributed over three concentric spherical shells of radii a, b, c (a < b < c)...

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Two radioactive substances $A$ and $B$ have decay constants $5 \lambda$ and $\lambda$ respectively. At $\mathrm{t}=0$, a sample has the...

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Consider a force $\vec{F}=-x \hat{i}+y \hat{j}$. The work done by this force in moving a particle from point $\mathrm{A}(1,0)$ to...

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A satellite is moving with a constant speed v in circular orbit around the earth. An object of mass ‘m’...

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A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal...

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A particle moving with kinetic energy E has de Broglie wavelength $\lambda$. If energy $\Delta \mathrm{E}$ is added to its...

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If the magnetic field of a plane electromagnetic wave is given by (The speed of light $...

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In a Young’s double slit experiment, the ratio of the slit’s width is 4 : 1. The ratio of the...

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A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can...

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In the cube of side ‘a’ shown in the figure, the vector from the central point of the face ABOD...

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Three Carnot engines operate in series between a heat source at a temperature $T_1$ and a heat sink at temperature...

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In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyman series is...

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In a Young's double slit experiment with slit separation 0.1 mm , one observes a bright fringe at angle $\frac{1}{40}$...

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A circular disc of mass $M$ and radius $R$ is rotating about its axis with angular speed $\omega_1$. If another...

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In the given circuit the cells have zero internal resistance. The currents (in amperes) passing through resistance $R_1$ and $R_2$...

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A closed vessel contains 0.1 mole of a monatomic ideal gas at 200 K. If 0.05 mole of the same...

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A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible...

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ABC is a plane lamina of the shape of an equilateral triangle. $\mathrm{D}, \mathrm{E}$ are mid points of $\mathrm{AB}, \mathrm{AC}$...

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A train moves towards a stationary observer with speed $34 \mathrm{~m} / \mathrm{s}$. The train sounds a whistle and its...

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A magnet of total magnetic moment $10^{-2} \hat{i} \mathrm{~A}-\mathrm{m} 2$ is placed in a time varying magnetic field, $...

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The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is 6...

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In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the eye-piece. The...

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A block of mass $m$ is kept on a platform which starts from rest with constant acceleration $\frac{g}{2}$ upward, as...

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The time dependence of the position of a particle of mass $m=2$ is given by $\vec{r}(t)=2 t \hat{i}-3 t^2 \hat{j}$....

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Given figure shows few data points in a photo electric effect experiment for a certain metal. The minimum energy for...

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A TV transmission tower has a height of 140 m and the height of the receiving antenna is 40 m...

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A air bubble of radius 1 cm in water has an upward acceleration $9.8 \mathrm{~cm} \mathrm{~s}^{-2}$. The density of water...

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Water flows into a large tank with flat bottom at the rate of $10^{-4} \mathrm{~m}^3 \mathrm{~s}^{-1}$. Water is also leaking...

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A bullet of mass 20 g has an initial speed of $1 \mathrm{~ms}^{-1}$, just before it starts penetrating a mud...

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Take the breakdown voltage of the zener diode used in the given circuit as 6 V. For the input voltage...

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Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At t = 0...

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A plane is inclined at an angle $\alpha=30^{\circ}$ with respect to the horizontal. A particle is projected with a speed...

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A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of...

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A plano convex lens of refractive index $\mu_1$ and focal length $f_1$ is kept in contact with another plano concave...

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A small bar magnet placed with its axis at 30° with an external field of 0.06 T experiences a torque...

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A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational field...

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Particle $A$ of mass $m_A=\frac{m}{2}$ moving along the $x-$ axis with velocity $\mathrm{v}_0$ collides elastically with another particle $B$ at...

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A solid metal cube of edge length 2 cm is moving in a positive y-direction at a constant speed of...

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The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and...

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To get output ‘1’ at R, for the given logic gate circuit the input values must be

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Match the $\mathrm{C}_{\mathrm{p}} / \mathrm{C}_{\mathrm{v}}$ ratio for ideal gases with different type of molecules

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One mole of an ideal gas passes through a process where pressure and volume obey the relation $\mathrm{P}=\mathrm{P}_0\left[1-\frac{1}{2}\left(\frac{\mathrm{v}_0}{\mathrm{v}}\right)^2\right]$. Here $\mathrm{P}_0$...

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Two electric dipoles, $A, B$ with respective dipole moments $\overrightarrow{\mathrm{d}}_{\mathrm{A}}=-4 q a \hat{\mathrm{i}}$ and $\overrightarrow{\mathrm{d}}_{\mathrm{B}}=-2 q a \hat{\mathrm{i}}$ are placed...

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On the x -axis and at a distance x from the origin, the gravitational field due to a mass distribution...

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The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a cos ωt,...

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The top of a water tank is open to air and its water level is maintained. It is giving out...

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A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the...

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The change in the magnitude of the volume of an ideal gas when a small additional pressure $\Delta \mathrm{P}$ is...

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Choose the correct option relating wavelengths of different parts of electromagnetic wave spectrum

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A two point charges $4 q$ and $-q$ are fixed on the xaxis at $x=-\frac{d}{2}$ and $x=\frac{d}{2}$, respectively. If a...

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Four resistances $40 \Omega, 60 \Omega, 90 \Omega$ and $110 \Omega$ make the arms of a quadrilateral ABCD. Across AC...

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Starting from the origin at time $t=0$, with initial velocity $5 \hat{j} \mathrm{~ms}^{-1}$, a particle moves in the $x-y$ plane...

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7 Charge is distributed within a sphere of radius $R$ with volume charge density $\rho(r)=\frac{A}{r^2} e^a$, where $A$ and a...

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A small bar magnet is moved through a coil at constant speed from one end to the other. Which of...

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A beam of plane polarised light of large crosssectional area and uniform intensity of 3.3 $\mathrm{Wm}^{-2}$ falls normally on a...

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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1)...

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Dimensional formula for thermal conductivity is (here K deontes the temperature)

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The distance between an object and a screen is 100 cm . A lens can produce real image of the...

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For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the...

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A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations;...

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The speed versus time graph for a particle is shown in the figure. The distance travelled (in m ) by...

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To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force...

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A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear...

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An electric field $\stackrel{m \mathrm{E}}{\mathrm{E}}=4 x \hat{\mathrm{i}}-\left(\mathrm{y}^2+1\right) \hat{\mathrm{j}} \mathrm{N} / \mathrm{C}$ passes through the box shown in figure. The flux...

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Orange light of wavelength $6000 \times 10^{-10} \mathrm{~m}$ illuminates a single slit of width $0.6 \times 10^{-4} \mathrm{~m}$. The maximum...

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The circuit shown below contains two ideal diodes, each with a forward resistance of $50 \Omega$. If the battery voltag...

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Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of...

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Expression for time in terms of G(universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

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In a meter bridge experiment S is a standard resistance. R is a resistance wire. It is found that balancing...

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A tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and...

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A circular disc $D_1$ of mass $M$ and radius $R$ has two identical discs $D_2$ and $D_3$ of the same...

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The value of current i1 flowing from A to C in the circuit diagram is

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A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and...

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The circuit shown below is working as a 8 V dc regulated voltage source. When 12 V is used as...

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The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force...

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The specific heat of water $=4200 \mathrm{~J} \mathrm{~kg}^{-1} \mathrm{~K}^{-1}$ and the latent heat of ice $...

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A body is moving in a low circular orbit about a planet of mass M and radius R. The radius...

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In the given circuit the internal resistance of the 18 V cells is negligible. If $\mathrm{R}_1=400 \Omega, \mathrm{R}_3=100 \Omega$ and...

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Two charged thin infinite plane sheets of uniform surface charge density $\sigma_{+}$and $\sigma_{-}$, where $\left|\sigma_{+}\right|>\left|\sigma_{-}\right|$, intersect at right angle. Which...

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In a Young's double slit experiment 15 fringes are observed on a small portion of the screen when light of...

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A particle moves from the point $(2.0 \mathrm{i}+4.0 \mathrm{j}) \mathrm{m}$, at $\mathrm{t}=0$, with an initial velocity $(5.0 \mathrm{i}+4.0 \mathrm{j}) \mathrm{ms}^{-1}$....

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A person pushes a box on a rough horizontal platform surface. He applies a force of 200 N over a...

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Starting at temperature 300 K , one mole of an ideal diatomic gas ( $\gamma=1.4$ ) is first compressed adiabatically...

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Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density $d$. The area...

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In a double-slit experiment, green light $(5303 \AA)$ falls on a double slit having a separation of $19.44 \mu \mathrm{~m}$...

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A series L-R circuit is connected to a battery of emf $V$. If the circuit is switched on at $t=0$,...

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Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm,...

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A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. If the...

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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having...

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A pendulum is executing simple harmonic motion and its maximum kinetic energy is $\mathrm{K}_1$. If the length of the pendulum...

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A particle of mass $m$ is projected with a speed $u$ from the ground at an angle $\theta=\pi / 3$...

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In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the...

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Seven capacitors, each of capacitance $2 \mu \mathrm{~F}$, are to be connected in a configuration to obtain an effective capacitance...

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There is a small source of light at some depth below the surface of water (refractive index $=4 / 3$...

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The pressure wave, P = 0.01sin $[1000 t-3 \times] \mathrm{Nm}^{-2}$ , corresponds to the sound produced by a vibrating blade...

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A particle of mass $m$ and charge $q$ is in an electric and magnetic field given by $$ \vec{E}=2 \hat{j}+3...

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A capacitor $C$ is fully charged with voltage $V_0$. After disconnecting the voltage source, it is connected in parallel with...

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A rod of length 50 cm is pivoted at one end. It is raised such that it makes an angle...

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A small spherical droplet of density d is floating exactly half immersed in a liquid of density $\rho$ and surface...

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In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance...

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A moving coil galvanometer has resistance $50 \Omega$ and it indicates full deflection at 4 mA current. A voltmeter is...

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Consider two uniform discs of the same thickness and different radii $R_1=R$ and $R_2=\alpha R$ made of the same material....

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The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and...

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In LC circuit the inductance L $=40 \mathrm{mH}$ and capacitance $\mathrm{C}=100 \mu \mathrm{~F}$. If a voltage $\mathrm{V}(\mathrm{t})=10 \sin (314 \mathrm{t})$...

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An amplitude modulated signal is plotted below: Which one of the following best describes the above signal?

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A cube of metal is subjected to a hydrostatic pressure of 4 GPa . The percentage change in the length...

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When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at...

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In the circuit shown, the potential difference between A and B is:

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If minimum possible work is done by a refrigerator in converting 100 grams of water at 0°C to ice, how...

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The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from 420...

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A galvanometer coil has 500 turns and each turn has an average area of $3 \times 10^{-4} \mathrm{~m}^2$. If a...

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A thermometer graduated according to a linear scale reads a value $x_0$ when in contact with boiling water, and $...

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Identify the operation performed by the circuit given below

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A galvanometer having a resistance of $20 \Omega$ and 30 divisions on both sides has figure of merit 0.005 ampere/division....

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In a car race on straight road, car A takes a time t less than car B at the finish...

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A spring mass system (mass $m$, spring constant $k$ and natural length I) rests in equilibrium on a horizontal disc....

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In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation...

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The magnetic field associated with a light wave is given, at the origin, by $...

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Two rods A and B of identical dimensions are at temperature 30°C. If A is heated upto 180°C and B...

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A uniformly thick wheel with moment of inertia I and radius R is free to rotate about its centre of...

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A force acts on a 2 kg object so that its position is given as a function of time as...

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A paramagnetic sample shows a net magnetisation of $6 \mathrm{~A} / \mathrm{m}$ when it is placed in an external magnetic...

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In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 30 nm . The...

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A particle starts from the origin at $t=0$ with an initial velocity of $3.0 \hat{i} \mathrm{~m} / \mathrm{s}$ and moves...

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The energy required to take a satellite to a height ' $h$ ' above Earth surface (radius of Earth $...

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In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation...

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A particle of charge $q$ and mass $m$ is subjected to an electric field $E=E_0\left(1-a x^2\right)$ in the $x$-direction, where...

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A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a...

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The mass and the diameter of a planet are three times the respective values for the Earth. The period of...

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A 27 mW laser beam has a cross-sectional area of $10 \mathrm{~mm}^2$. The magnitude of the maximum electric field in...

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A quantity x is given by (IFv²/ $\mathrm{WL}^4$ ) in terms of moment of inertia I , force F ,...

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When 100 g of a liquid A at 100°C is added to 50 g of a liquid B at temperature...

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If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young’s modulus will be

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A simple pendulum of length 1 m is oscillating with an angular frequency $10 \mathrm{rad} / \mathrm{s}$. The support of...

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A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is...

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Find the binding energy per nucleon for ${ }_{50}^{120} \mathrm{Sn}$. Mass of proton $m_p=1.00783 \mathrm{U}$, mass of neutron $m_n=1.00867 \mathrm{U}$...

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A metal ball of mass 0.1 kg is heated upto $500^{\circ} \mathrm{C}$ and dropped into a vessel of heat capacity...

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A particle of mass $m$ is moving in a straight line with momentum $p$. Starting at time $t=0$, a force...

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An massless equilateral triangle EFG of side 'a' (As shown in figure) has three particles of mass $m$ situated at...

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A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror...

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An electric field of $1000 \mathrm{~V} / \mathrm{m}$ is applied to an electric dipole at angle of $45^{\circ}$. The value...

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The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the Wavelength...

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A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of $...

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A block starts moving up an inclined plane of inclination $30^{\circ}$ with an initial velocity of $v_0$. It comes back...

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Following figure shows two processes A and B for a gas. If $\Delta Q_A$ and $\Delta Q_B$ are the amount...

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A block of mass 1.9 kg is at rest at the edge of a table, of height 1m. A bullet...

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A circular coil has moment of inertia $0.8 \mathrm{~kg} \mathrm{~m}^2$ around any diameter and is carrying current to produce a...

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A capacitor with capacitance 5$\mu \mathrm{F}$ is charged to 5$\mu \mathrm{C}$. If the plates are pulled apart to reduce the...

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A uniform rod of length ' $l$ ' is pivoted at one of its ends on a vertical shaft of...

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If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy...

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For a given gas at 1 atm pressure, rms speed of the molecules is 200 m/s at 127°C. At 2...

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A small ball of mass $m$ is thrown upward with velocity $u$ from the ground. The ball experiences a resistive...

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The total number of turns and cross-section area in a solenoid is fixed. However, its length L is varied by...

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In a communication system operating at wavelength 800 nm , only one percent of source frequency is available as signal...

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A rod of length $L$ has non-uniform linear mass density given by $$ \rho(\mathrm{x})=\mathrm{a}+\mathrm{b}\left(\frac{\mathrm{x}}{\mathrm{~L}}\right)^2 $$ , where a and b...

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A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The...

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A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous...

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Two light waves having the same wavelength $\lambda$ in vacuum are in phase initially. Then the first wave travels a...

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Q.12 A carbon resistance has a following colour code. What is the value of the resistance?

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Planet $A$ has mass $M$ and radius $R$. Planet $B$ has half the mass and half the radius of Planet...

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The radius $R$ of a nucleus of mass number $A$ can be estimated by the formula $...

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Two identical capacitors A and B , charged to the same potential 5 V are connected in two different circuits...

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A calorimeter of water equivalent 20 g contains 180 g of water at $25^{\circ} \mathrm{C}$. ' m ' grams of...

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A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its...

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A uniform magnetic field $B$ exists in a direction perpendicular to the plane of a square loop made of a...

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For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to...

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A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the...

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A ball is dropped from the to of a 100 m high tower on a planet. In the last $...

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Two resistors $400 \Omega$ and $800 \Omega$ are connected in series across a 6 V battery. The potential difference measured...

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An electron of mass m and magnitude of charge |e| initially at rest gets accelerated by a constant electric field...

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At a given instant, say $t=0$, two radioactive substances $A$ and $B$ have equal activities. The ratio $\frac{R_B}{R_A}$ of their...

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A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance...

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The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The wavelength of the...

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Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their...

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Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant....

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The series combination of two batteries, both of the same emf 10 V , but different internal resistance of $...

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A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature $27^{\circ} \mathrm{C}$. Amount of heat...

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The mass density of a planet of radius $R$ varies with the distance $r$ from its centre as $\rho(r)=\rho_0\left(1-\frac{r^2}{R^2}\right)$. Then...

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An asteroid is moving directly towards the centre of the earth. When at a distance of 10 R (R is...

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An electron gun is placed inside a long solenoid of radius R on its axis. The solenoid has n turns/length...

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Three containers $C_1, C_2$ and $C_3$ have water at different temperatures. The table below shows the final temperature $T$ when...

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A metallic sphere cools from 50°C to 40°C in 300 s. If atmospheric temperature around is 20°C, then the sphere’s...

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Concentric metallic hollow spheres of radii R and 4R hold charges $Q_1$ and $Q_2$ respectively. Given that surface charge densities...

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An electron (mass $m$ ) with initial velocity $\vec{v}=v_0 \hat{i}+v_0 \hat{j} \vec{E}=-E_0 \hat{k}$. If $\lambda_0$ is initial de-Broglie wavelength of...

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Two Carnot engines A and B are operated in series. The first one, A, receives heat at $T_1(=600 \mathrm{~K})$ and...

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Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a...

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A particle moves such that its position vector $\vec{r}(t)=\cos \omega t \hat{i}+\sin \omega t \hat{j}$ where $\omega$ is a constant...

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The current i in the network is

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A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is filled with a paramagnetic substance. The...

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A mass of 10 kg is suspended vertically by a rope trom the root. When a horizontal force is applied...

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As shown in fig. when a spherical cavity (centred at O) of radius 1 is cut out of a uniform...

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The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is $...

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A uniform cable of mass ‘M’ and length ‘L’ is placed on a horizontal surface such that its $\left(\frac{1}{n}\right)^{t h}$...

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Two point charges $q_1(\sqrt{10} \mu \mathrm{C})$ and $q_2(-25 \mu \mathrm{C})$ are placed on the $x$-axis at $x=1 \mathrm{~m}$ and $...

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A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and...

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A plane electromagnetic wave is propagating along the direction $\frac{\hat{i}+\hat{j}}{\sqrt{2}}$, with its polarization along the direction $\hat{k}$. The correct form...

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Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final...

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A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless...

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In a double-slit experiment, at a certain point on the screen the path difference between the two interfering waves is...

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A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point in...

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Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the...

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A small circular loop of conducting wire has radius a and carries current I. It is placed in a uniform...

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Consider two charged metallic spheres $S_1$ and $S_2$ of radii $R_1$ and $R_2$, respectively. The electric fields $E_1$ (on $S_1$...

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To raise the temperature of a certain mass of gas by 50°C at a constant pressure, 160 calories of heat...

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The stream of a river is flowing with a speed of 2 km/h. A swimmer can swim at a speed...

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A capacitor is made of two square plates each of side 'a' making a very small angle $\alpha$ between them,...

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A wire of length L and mass per unit length $6.0 \times 10^{-3} \mathrm{~kg} \mathrm{~m}^{-1}$ is put under tension of...

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A stationary horizontal disc is free to rotate about its axis. When a torque is applied on it, its kinetic...

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A particle of mass m and charge q is released from rest in a uniform electric field. If there is...

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A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length...

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The magnetic field of a plane electromagnetic wave is given by : $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{B}}_0 \hat{\mathrm{i}}\left[\cos (\mathrm{kz}-\omega \mathrm{t})+\mathrm{B}_1 \hat{\mathrm{j}} \cos (\mathrm{kz}+\omega \mathrm{t})\right.$...

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A particle of mass m is dropped from a height $h$ above the ground. At the same time another particle...

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For point charges $-q,+q,+q$ and $-q$ are placed on $y$-axis at $y=-2 d, y=-d, y=+d$ and $y=+2 d$, respectively. The...

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Two liquids of densities $\rho_1$ and $\rho_2\left(\rho_2=2 \rho_1\right)$ are filled up behind a square wall of side 10 m as...

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Determine the charge on the capacitor in the following circuit :

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As shown in the figure, a battery of emf $E$ is connected to an inductor $L$ and resistance $R$ in...

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A very long solenoid of radius $R$ is carrying current $I(t)=k t e^{-\alpha t}(k>0)$, as a function of time $...

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A Carnot engine having an efficiency of $\frac{1}{10}$ is being used as a refrigerator. If the work done on the...

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The logic gate equivalent to the given logic circuit is

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A galvanometer having a coil resistance $100 \Omega$ gives a full scale deflection when a current of 1 mA is...

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A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates...

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A transverse wave travels on a taut steel wire with a velocity of v when tension in it is $...

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An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror....

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A particle of mass ‘m’ is moving with speed ‘2v’ and collides with a mass ‘2m’ moving with speed ‘v’...

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Consider a mixture of n moles of helium gas and $2 n$ moles of oxygen gas (molecules taken to be...

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A massless spring (k = 800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of...

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Two coils ' $P$ ' and ' $Q$ ' are separated by some distance. When a current of $3 A$...

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In the given circuit, value of Y is (MFST-6)

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A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at...

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A thin convex lens $L$ (refractive index $=1.5$ ) is placed on a plane mirror $M$. When a pin is...

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A series AC circuit containing an inductor (20 mH), a capacitor (120 μF) and a resistor (60 Ω) is driven...

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In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $\lambda=500 \mathrm{~nm}$ is incident...

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In a conductor, if the number of conduction electrons per unit volume is $8.5 \times 10^{28} \mathrm{~m}^{-3}$ and mean free...

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One of the two identical conducting wires of length $L$ is bent in the form of a circular loop and...

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A moving coil galvanometer has a coil with 175 turns and area 1 cm 2 . It uses a torsion...

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A particle ' P ' is formed due to a completely inelastic collision of particles ' x ' and '...

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A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the...

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A beam of electromagnetic radiation of intensity $6.4 \times 10^{-5} \mathrm{~W} / \mathrm{cm}^2$ is comprised of wavelength, $\lambda=$ 310 nm...

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Diameter of the objective lens of a telescope is 250 cm. For light of wavelength 600 nm. coming from a...

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The area of a square is $5.29 \mathrm{~cm}^2$. The area of 7 such squares taking into account the significant figures...

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Two materials having coefficients of thermal conductivity ' 3 K ' and ' K ' and thickness ' d '...

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A non-isotropic solid metal cube has coefficients of linear expansion as: $5 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ along the x-axis...

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A wooden block floating in a bucket of water has $\frac{4}{5}$ of its volume submerged. When certain amount of an...

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A loop ABCDEFA of straight edges has six corner points $A(0,0,0), B(5,0,0), C(5,5,0), D(0,5,0)$, $E(0,5,5)$ and $F(0,0,5)$. The magnetic field...

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A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1200 J of...

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A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge...

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A particle ( $m=1 \mathrm{~kg}$ ) slides down a frictionless track (AOC) starting from rest at a point A (height...

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Two infinite planes each with uniform surface charge density $+\sigma$ are kept in such a way that the angle between...

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The physical sizes of the transmitter and receiver antenna in a communication system are:

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A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical springmass damped oscillator having damping constant...

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Which of the following gives a reversible operation?

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A polarizer-analyser set is adjusted such that the intensity of light coming out of the analyser is just $10 \%$...

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The position of a particle as a function of time $t$, is given by $$ x(t)=a t+b t^2-c t^3 $$...

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Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an infinite...

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If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of...

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A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept...

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Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right...

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Two cars $A$ and $B$ are moving away from each other in opposite directions. Both the cars are moving with...

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Visible light of wavelength $6000 \times 10^{-8} \mathrm{~cm}$ falls normally on a single slit and produces a diffraction pattern. It...

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As shown in the figure, a bob of mass m is tied by a massless string whose other end portion...

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$\mathrm{A} \mathrm{He}^{+}$ion is in its first excited state. Its ionization energy is :

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The current $I 1$ (in A) flowing through $1 \Omega$ resistor in the following circuit is :

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The resistance of a galvanometer is 50 ohm and the maximum current which can be passed through it is 0.002...

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Two moles of an ideal gas with $\frac{C_P}{C_V}=\frac{5}{3}$ are mixed with 3 moles of another ideal gas with $\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}=\frac{4}{3}$. The...

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The time period of revolution of electron in its ground state orbit in a hydrogen atom is $1.6 \times 10^{-16}$...

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A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg . If the...

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Moment of inertia of a body about a given axis is 1.5 kg m2. Initially the body is at rest....

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Speed of transverse wave on a straight wire (mass 6.0 g , length 60 cm and area of crosssection 1.0...

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A thin smooth rod of length L and mass M is rotating freely with angular speed 0 about an axis...

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A long solenoid of radius $R$ carries a time $(t)$ dependent current $\mathrm{I}(\mathrm{t})=\operatorname{lot}(1-\mathrm{t})$. A ring of radius $2 R$ is...

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A metal wire of resistance $3 \Omega$ is elongated to make a uniform wire of double its previous length. This...

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A stellite of mass $m$ is launched vertically upwards with an initial speed $u$ from the surface of the earth....

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$50 \mathrm{~W} / \mathrm{m}^2$ energy density of sunlight is normally incident on the surface of a solar panel. Some part...

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The radius of gyration of a uniform rod of length I, about an axis passing through a point $\frac{1}{4}$ away...

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A litre of dry air at STP expands adiabatically to a volume of 3 litres. If $\gamma=1.40$, the work done...

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The position vector of a particle changes with time according to the relation $\vec{r}(t)=15 t^2 \hat{i}+\left(4-20 t^2\right) \hat{j}$. What is...

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The specific heats, $\mathrm{C}_{\mathrm{P}}$ and $\mathrm{C}_{\mathrm{V}}$ of a gas of diatomic molecules, A , are given (in units of $...

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If the magnetic field in a plane electromagnetic wave is given by $...

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A test particle is moving in a circular orbit in the gravitational field produced by a mass density $\rho(r)=\frac{K}{r^2}$. Identify...

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A parallel plate capacitor has plates of area $A$ separated by distance 'd' between them. It is filled with a...

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A resistor dissipates 192 J of energy in 1 s when a current of 4A is passed through it. Now,...

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Cross-section view of a prism is the equilateral triangle $A B C$ in the figure. The minimum deviation is observed...

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The diameter and height of a cylinder are measured by a meter scale to be $12.6 \pm 0.1 \mathrm{~cm}$ and...

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At very high frequencies, the effective impendance of the given circuit will be $\_\_\_\_$ $\Omega$.

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The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to...

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A sample of gas with $\gamma=1.5$ is taken through an adiabatic process in which the volume is compressed from $...

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The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the...

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A car is moving on a plane inclined at $30^{\circ}$ to the horizontal with an acceleration of $10 \mathrm{~ms}^{-2}$ parallel...

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Two stars of masses $3 \times 10^{31} \mathrm{~kg}$ each, and at distance $2 \times 10^{11} \mathrm{~m}$ rotate in a plane...

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In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away...

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A capacitor of $50 \mu \mathrm{~F}$ is connected in a circuit as shown in figure. The charge on the upper...

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A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of...

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A particle is moving with constant acceleration ' $a$ '. Following graph shows $v^2$ versus $x$ (displacement) plot. The acceleration...

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The electric field in an electromagnetic wave is given by $\mathrm{E}=\left(50 \mathrm{NC}^{-1}\right) \sin \omega(\mathrm{t}-\mathrm{x} / \mathrm{c})$ The energy contained in...

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A long solenoid with $1000 \mathrm{turns} / \mathrm{m}$ has a core material with relative permeability 500 and volume $10^3 \mathrm{~cm}^3$....

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A block moving horizontally on a smooth surface with a speed of $40 \mathrm{~ms}^{-1}$ splits into two equal parts. If...

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A parallel plate capacitor of capacitance $200 \mu \mathrm{~F}$ is connected to a battery of 200 V . A dielectric...

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The voltage drop across $15 \Omega$ resistance in the given figure will be $\_\_\_\_$ V.

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Consider a Young's double slit experiment as shown in figure. What should be the slit separation $d$ in terms wavelength...

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If $R_E$ be the radius of Earth, then the ratio between the acceleration due to gravity at a depth '...

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A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from...

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Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of...

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A wire having a linear mass density $9.0 \times 10^{-4} \mathrm{~kg} / \mathrm{m}$ is stretched between two rigid supports with...

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Statement-I: To get a steady dc output from the pulsating voltage received from a full wave rectifier we can connect...

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A square shaped wire with resistance of each side $3 \omega$ is bent to form a complete circle. The resistance...

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A rigid massless rod of length 3l has two masses attached at each end as shown in the figure. The...

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A resistor dissipates 192 J of energy in 1 s when a current of 4A is passed through it. Now,...

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For a body executing S.H.M. : (a) Potential energy is always equal to its K.E. (b) Average potential and kinetic...

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If the sum of the heights of transmitting and receiving antennas in the line of sight of communication is fixed...

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Cross-section view of a prism is the equilateral triangle $A B C$ in the figure. The minimum deviation is observed...

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Two kg of a monoatomic gas is at a pressure of $4 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. The density of...

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A particle of mass 1 kg is hanging from a spring of force constant $100 \mathrm{Nm}^{-1}$. The mass is pulled...

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At very high frequencies, the effective impendance of the given circuit will be $\_\_\_\_$ $\Omega$

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A coil is placed in a magnetic field B as shown below :

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A sample of gas with $\gamma=1.5$ is taken through an adiabatic process in which the volume is compressed from $...

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A metal plate of area $1 \times 10^{-4} \mathrm{~m}^2$ is illuminated by a radiation of intensity $...

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The diameter of a spherical bob is measured using a vernier callipers. 9 divisions of the main scale, in the...

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When a rubber ball is taken to a depth of $\_\_\_\_$ m in deep sea, its volume decreases by $...

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A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses...

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In a Young's double slit experiment, the slits are separated by 0.3 mm and the screen is 1.5 m away...

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A particle is moving with constant acceleration ' $a$ '. Following graph shows $v^2$ versus $x$ (displacement) plot. The acceleration...

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A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power...

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Consider a galvanometer shunted with $5 \Omega$ resistance and $2 \%$ of current passes through it. What is the resistance...

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A mixture of hydrogen and oxygen has volume $500 \mathrm{~cm}^3$, temperature 300 K , pressure 400 kPa and mass 0.76...

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A long solenoid with 1000 turns $/ \mathrm{m}$ has a core material with relative permeability 500 and volume $10^3 \mathrm{~cm}^3$....

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A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard...

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A moving proton and electron have the same de- Broglie wavelength. If K and P denote the K.E. and momentum...

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A parallel plate capacitor of capacitance $200 \mu \mathrm{~F}$ is connected to a battery of 200 V . A dielectric...

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Choose the incorrect statement : (a) The electric lines of force entering into a Gaussian surface provide negative flux. (b)...

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A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio signal frequency used for modulating the...

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If Re be the radius of Earth, then the ratio between the acceleration due to gravity at a depth '...

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Statement–I : To get a steady dc output from the pulsating voltage received from a full wave rectifier we can...

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A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V...

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In the given chemical reaction, colors of the $\mathrm{Fe}^{2+}$ and $\mathrm{Fe}^{3+}$ ions, , are respectively : $...

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A particle which is experiencing a force, given by $\vec{F}=3 \vec{i}-12 \vec{j}$, undergoes a displacement of $\overrightarrow{\mathrm{d}}=4 \overrightarrow{\mathrm{i}}$. If the...

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The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate...

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The actual value of resistance R, shown in the figure is 30 $\Omega$.. This is measured in an experiment as...

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An unknown metal of mass 192 g heated to a temperature of 100°C was immersed into a brass calorimeter of...

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For a body executing S.H.M. : (a) Potential energy is always equal to its K.E. (b) Average potential and kinetic...

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In an ac circuit, an inductor, a capacitor and a resistor are connected in series with $\mathrm{XL}=\mathrm{R}=\mathrm{Xc}$. Impedance of this...

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For the circuit shown below, the current through the Zener diode is:

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A coil is placed in a magnetic field B as shown below :

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The equivalent resistance of the given circuit between the terminals A and B is :

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Angular momentum of a single particle moving with constant speed along circular path

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A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their...

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Which of the following equations is dimensionally incorrect? Where $\mathrm{t}=$ time, $\mathrm{h}=$ height, $\mathrm{s}=$ surface tension, $\theta=$ angle, $\rho=$ density,...

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https://competishun.com/emw_jee-main-31-08-2021_s1/

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Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20°C to 90°C. Work...

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For an ideal gas the instantaneous change in pressure ' $p$ ' with volume ' $v$ ' is given by...

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If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will...

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A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond...

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A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses...

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Charges –q and +q located at A and B, respectively, constitute an electric dipole. Distance AB = 2a, O is...

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A mixture of hydrogen and oxygen has volume $500 \mathrm{~cm}^3$, temperature 300 K , pressure 400 kPa and mass 0.76...

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Choose the incorrect statement :

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The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by...

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A bob of mass ' m ' suspended by a thread of length $l$ undergoes simple harmonic oscillations with time...

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The equivalent resistance of the given circuit between the terminals A and B is :

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Match List-I with List-II

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The magnetic field vector of an electromagnetic wave is given by $B=B \circ \frac{i+j}{\sqrt{2}} \cos (k z-\omega t)$; where $...

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Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases...

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If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will...

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Statement :1 If three forces $\vec{F}_1, \vec{F}_2$ and $\vec{F}_3$ are represented by three sides of a triangle and $\vec{F}_1+\vec{F}_2=-\vec{F}_3$, then...

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If $\mathrm{V}_{\mathrm{A}}$ and $\mathrm{V}_{\mathrm{B}}$ are the input voltages (either 5 V or 0 V ) and $\mathrm{V}_0$ is the output...

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Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and...

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A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with...

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A bob of mass m suspended by a thread of length $l$ undergoes simple harmonic oscillations with time period T...

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Two plane mirrors $M_1$ and $M_2$ are at right angle to each other shown. A point source ' $P$ '...

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A plane electromagnetic wave with frequency of 30 MHz travels in free space. At particular point in space and time,...

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The Wheatstone bridge shown in Fig. here, gets balanced when the carbon resistor used as $\mathrm{R}_1$ has the colour code...

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Consider two separate ideal gases of electrons and protons having same number of particles. The temperature of both the gases...

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The ratio of the equivalent resistance of the network (shown in figure) between the points a and b when switch...

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A uniform heavy rod of weight $10 \mathrm{~kg} \mathrm{~ms}^{-2}$, cross-sectional area $100 \mathrm{~cm}^2$ and length 20 cm is hanging from...

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https://competishun.com/ht_jee-main-31-08-2021_s1/

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If $V_A$ and $V_B$ are the input voltages (either 5 V or 0 V ) and $V_0$ is the output...

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At some location on earth the horizontal component of earth’s magnetic field is 18 × 10–6 T. At this location,...

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Two thin metallic spherical shells of radii $r_1$ and $r_2\left(r_1

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Choose the correct waveform that can represent the voltage across R of the following circuit, assuming the diode is ideal...

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An ac circuit has an inductor and a resistor of resistance $R$ in series, such that $X_L=3 R$. Now, a...

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A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils...

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A free electron of 2.6 eV energy collides with a $\mathrm{H}_{+}$ion. This results in the formation of a hydrogen atom...

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A free electron of 2.6 eV energy collides with a $\mathrm{H}+$ ion. This results in the formation of a hydrogen...

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Wires $W_1$ and $W_2$ are made of same material having the breaking stress of $...

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A zener diode of power rating 2W is to be used as a voltage regulator. If the zener diode has...

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A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of...

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X different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states...

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A small square loop of side ' $a$ ' and one turn is placed inside a larger square loop of...

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A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the...

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Statement I: Two forces $\left(\stackrel{\Delta \stackrel{\Delta}{\mathrm{P}}+\stackrel{\Delta}{\mathrm{Q}})}{(\stackrel{\Delta}{\mathrm{P}}-\stackrel{\Delta}{\mathrm{Q}})}\right.$ and where $^{(\stackrel{\Delta}{\mathrm{P}} \perp \stackrel{\Delta}{\mathrm{Q}})}$, when act at an angle $\theta_1$ to each other,...

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Two simple harmonic motion, are represented by the equations $y_1=10 \sin \left(3 \pi t+\frac{\pi}{3}\right)$ $$ y_2=5(\sin 3 \pi t+\sqrt{3} \cos...

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Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^3 \mathrm{~kg}$, The inner...

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A heat engine operates between a cold reservoir at temperature $T_2=400 \mathrm{~K}$ and a hot reservoir at temperature $T_1$. It...

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Figure shows a rod $A B$, which is bent in a $120^{\circ}$ circular arc of radius $R$. A charge (...

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The masses and radii of the earth and moon are ( $\mathrm{M} 1, \mathrm{R}_1$ ) and ( $\mathrm{M}_2, \mathrm{R}_2$ )...

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A system consists of two identical spheres each of mass 1.5 kg and radius 50 cm at the end of...

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The light waves from two coherent sources have same intensity $l_1=l_2=l_0$. In interference pattern the intensity of light at minima...

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The height of victoria falls is 63 m. What is the difference in temperature of water at the top and...

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A current of 1.5 A is flowing through a triangle, of side 9 cm each. The magnetic field at the...

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A body of mass $M$ moving at speed $V_0$ collides elastically with a mass ' $m$ ' at rest. After...

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A coaxial cable consists of an inner wire of radius ‘a’ surrounded by an outer shell of inner and outer...

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Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^3 \mathrm{~kg}$, The inner...

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A coil having N turns is wound tightly in the form of a spiral with inner and outer radii 'a'...

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If force (F), length (L) and time (T) are taken as the fundamental quantities, Then what will be the dimension...

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Match List-I with List-II

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A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensitive material which has a stopping voltage of 0.48...

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A sample of a radioactive nucleus A disintegrates to another radioactive nucleus B, which in turn disintegrates to some other...

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For full scale deflection of total 50 divisions, 50 mV voltage is required in galvanometer. The resistance of galvanometer if...

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A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100 kg and...

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A constant magnetic field of 1 T is applied in the x > 0 region. A metallic circular ring of...

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If the rms speed of oxygen molecules at 0°C is 160 m/s, find the rms speed of hydrogen molecules at...

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An antenna is mounted on a 400 m tall building. What will be the wavelength of signal of signal that...

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The colour coding on a carbon resistor is shown in the given figure. The resistance value of the given resistor...

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Three capacitors $\mathrm{C}_1=2 \mu \mathrm{~F}, \mathrm{C}_2=6 \mu \mathrm{~F}$ and $\mathrm{C}_3=12 \mu \mathrm{~F}$ are connected as shown in figure. Find the...

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Two discs have moments of intertia $l_1$ and $l_2$ about their respective axes perpendicular to the plane and passing through...

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Water drops are falling from a nozzle of a shower onto the floor, from a height of 9.8 m. The...

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For a transistor $\alpha$ and $\beta$ are given as $\alpha=\frac{I_c}{I_E}$ and $\beta=\frac{I_c}{I_B}$. Then the correct relation between $\alpha$ and $\beta$...

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The boxes of masses 2 kg and 8 kg are connected by a massless string passing over smooth pulleys. Calculate...

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Curved surfaces of a plano-convex lens of refractive index $\mu$1 and a plano-concave lens of refractive index $\mu$2 have equal...

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A boy’s catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of crosssection and...

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An object is placed at the focus of concave lens having focal length $f$, What is the magnification and distance...

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In an interference experiment the ratio of amplitudes of coherent waves is $\frac{a_1}{a_2}=\frac{1}{3}$. The ratio of maximum and minimum intensities...

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A thermally insulated vessel contains 150 g of water at $0^{\circ} \mathrm{C}$. Then the air from the vessel is pumped...

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A reversible engine has efficiency of $1 / 4$. If the temperature of the sink is reduced by $58^{\circ} \mathrm{C}$,...

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An electron of mass me and a proton of mass $m_p= 1836 \mathrm{~m}_{\mathrm{e}}$ are moving with the same speed. The...

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A circular coil having $N$ turns and radius $r$ carries a current I. It is held in the XZ plane...

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Two particles A and B having charges $20 \mu \mathrm{C}$ and $-5 \mu \mathrm{C}$ respectively are held fixed with a...

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A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the potential...

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Two identical beakers A and B contain equal volumes of two different liquids at $60^{\circ} \mathrm{C}$ each and left to...

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For the circuit shown, with $\mathrm{R} 1=1.0 \Omega, \mathrm{R} 2=2.0 \Omega$, $\mathrm{E} 1=2 \mathrm{~V}$ and $\mathrm{E} 2=\mathrm{E} 3=4 \mathrm{~V}$, the...

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In the following logic circuit the sequence of the inputs A, B are (0, 0), (0, 1), (1, 0) and...

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A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to...

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A helicopter is flying horizontally with a speed ' v ' at an altitude ' h ' has to drop...

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The reverse breakdown voltage of a Zener diode is 5.6 V in the given circuit

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The bob of a simple pendulum has mass 2 g and a charge of $5.0 \mu \mathrm{C}$. It is at...

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Consider a badminton racket with length scales as shown in the figure. If the mass of the linear and circular...

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Four identical particles of mass M are located at the corners of a square of side ‘a’. What should be...

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White light is passed through a double slit and interference is observed on a screen 1.5 m away. The separation...

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An alternating voltage $\mathrm{v}(\mathrm{t})=220 \sin 100 \pi \mathrm{t}$ volt is applied to a purely resistive load of $50 \Omega$. The...

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Two travelling waves produces a standing wave represented by equation, $\mathrm{y}=1.0 \mathrm{~mm} \cos \left(1.57 \mathrm{~cm}^{-1}\right) \times \sin \left(78.5 \mathrm{~s}^{-1}\right) \mathrm{t}$....

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A thin circular plate of mass $M$ and radius $R$ has its density varying as $\rho(r)=\rho_0 r$ with $\rho_0$ as...

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A steel wire having a radius of 2.0 mm , carrying a load of 4 kg , is hanging from...

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Two short magnetic dipoles $m_1$ and $m_2$ each having magnetic moment of $1 \mathrm{Am}^2$ are placed at point $O$ and...

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An amplitude modulated wave is represented by $$ C_m(t)=10(1+0.2 \cos 12560 t) \sin \left(111 \times 10^4 t\right) \text { volts....

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The wavelength of the carrier waves in a modern optical fiber communication network is close to :

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Voltage rating of a parallel plate capacitor is 500 V . Its dielectric can withstand a maximum electric field of...

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A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius...

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Four particles $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D with masses $\mathrm{m}_{\mathrm{A}}=\mathrm{m}$, $\mathrm{m}_{\mathrm{B}}=2 \mathrm{~m}, \mathrm{~m}_{\mathrm{C}}=3 \mathrm{~m}$ and $\mathrm{m}_{\mathrm{D}}=4 \mathrm{~m}$ are at the...

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$\mathrm{PCl}_5(\mathrm{~g}) \rightarrow \mathrm{PCl}_3(\mathrm{~g})+\mathrm{Cl}_2(\mathrm{~g})$ In the above first order reaction the concentration of $\mathrm{PCl}_5$ reduces from initial concentration $50 \mathrm{~mol} \mathrm{~L}^{-1}$...

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Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction...

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A source and a detector move away from each other in absence of wind with a speed of $...

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The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that...

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The electric field in a plane electromagnetic wave is given by $$ \overrightarrow{\mathrm{E}}-=200 \cos \left[\left(\frac{0.5 \times 10^3}{\mathrm{~m}}\right) \mathrm{x}-\left(1.5 \times 10^{11}...

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An object is placed at a distance of 12 cm from a convex lens. A convex mirror of focal length...

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A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown in figure. The time...

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For the given circuit, the power across zener diode is ............ mW.

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A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter laying on...

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A $200 \Omega$ resistor has a certain color code. If one replaces the red color by green in the code,...

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A coil in the shape of an equilateral triangle of side 10 cm lies in a vertical plane between the...

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In figure, the optical fiber is I = 2 m long and has a diameter of $\mathrm{d}=20 \mu \mathrm{~m}$. If...

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Two simple harmonic motions are represented by the equations $x_1=5 \sin \left(2 \pi t+\frac{\pi}{4}\right)$ and $...

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Statement-I : By doping silicon semiconductor with pentavalent material, the electrons density increases. Statement-II : The n-type semiconductor has net...

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A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed...

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Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe...

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The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a...

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Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He+ ions in n...

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If the maximum value of accelerating potential provided by a ratio frequency oscillator is 12 kV. The number of revolution...

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The material filled between the plates of a parallel plate capacitor has resistivity $200 \Omega \mathrm{~m}$. The value of capacitance...

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A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled...

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In SI units, the dimensions of $\sqrt{\frac{\epsilon_0}{\mu_0}}$ is:

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A source of light is placed in front of a screen. Intensity of light on the screen is $I$. Two...

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If $E, L, M$ and $G$ denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then...

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Two particles move at right angle to each other. Their de Broglie wavelengths are $\lambda_1$ and $\lambda_2$ respectively. The particles...

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Two waves are simultaneously passing through a string and their equations are $y_1=A_1 \sin k(x-v t), y_2=A_2 \sin k\left(x-v t+x_0\right)$....

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The initial mass of a rocket is 1000 kg . Calculate at what rate the fuel should be burnt so...

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What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter connected parallel to...

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Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley....

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In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed....

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If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is:

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The rms speeds of the molecules of Hydrogen, Oxygen and Carbondioxide at the same temperature are $\mathrm{V}_{\mathrm{H}}$, $\mathrm{V}_0$ and $\mathrm{V}_c$...

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The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in...

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In the given circuit the AC source has $\omega=100 \mathrm{rad} \mathrm{s}^{-1}$. Considering the inductor and capacitor to be ideal, what...

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The $\mathrm{K}_\alpha$ X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atoms with a K electron...

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A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius...

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Match List-I with List-II

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A small block slides down from the top of hemisphere of radius R = 3 m as shown in the...

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Four NOR gates are connected as shown in figure. The truth table for the given figure is :

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An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V supply. Calculate...

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In the given figure, the emf of the cell is 2.2 V and if internal resistance is $0.6 \Omega$. Calculate...

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For the circuit shown, the value of current at time t = 3.2 s will be _____A.

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A refrigerator consumes an average 35 W power to operate between temperature –10°C to 25°C. If there is no loss...

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A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna...

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In a photoelectric experiment ultraviolet light of wavelength 280 nm is used with lithium cathode having work function $\phi=2.5 \mathrm{eV}$....

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A swimmer wants to cross a river from point A to point B. Lint AB makes an angle of 30º...

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A particle executes simple harmonic motion represented by displacement function as $x(t)=A \sin (\omega t+\varphi)$ If the position and velocity...

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A particular hydrogen like ion emits radiation of frequency $2.92 \times 10^{15} \mathrm{~Hz}$ when it makes transition from $n=3$ to...

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A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the...

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A parallel - plate capacitor with plate area $A$ has separation $d$ between the plates. Two dielectric slabs of dielectric...

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Identify the logic operation carried out by the given circuit

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In the given figure the magnetic flux through the loop increases according to the relation $\varphi_{\mathrm{B}}(\mathrm{t})=10 \mathrm{t}^2+20 \mathrm{t}$, where $\varphi_{\mathrm{B}}$...

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The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of...

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The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to...

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A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance $\mathrm{R}=3 \mathrm{k} \Omega$,...

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The difference in the number of waves when yellow light propagates through air vacuum columns of the same thickness is...

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If you are provided a set of resistances $2 \Omega, 4 \Omega, 6 \Omega$ and $8 \Omega$. Connect these resistances...

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An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when...

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In the given figure, two wheels P and Q are connected by a belt B. The radius of P is...

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The two thin coaxial rings, each of radius 'a' and having charges +Q and –Q respectively are separated by a...

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An electric appliance supplies $6000 \mathrm{~J} / \mathrm{min}$ heat to the system. If the system delivers a power of 90...

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The resistance of a conductor at 15ºC is 16 $\Omega$ at 100ºC is 20$\Omega$ What will be the temperature coefficient...

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A light beam is described by $E=800 \sin \omega\left(t-\frac{x}{c}\right)$. An electron is allowed to move normal to the propagation of...

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Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped tube open at...

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A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies...

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The angle between vector $(\vec{A})$ and $(\vec{A}-\vec{B})$ is :-

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Inside a uniform spherical shell : (a) the gravitational field is zero (b) the gravitational potential is zero (c) the...

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The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital...

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Car B overtakes another car A at a relative speed of $40 \mathrm{~ms}^{-1}$. How fast will the image of car...

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An automobile of mass ‘m’ accelerates starting from origin and initially at rest, while the engine supplies constant power P....

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A physical quantity ‘y’ is represented by the formula $y=m^2 r^{-4} g^x l^{-\frac{3}{2}}$ . If the percentage errors found in...

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The magnitude of vectors $\overrightarrow{\mathrm{OA}}, \overrightarrow{\mathrm{OB}}$ and $\overrightarrow{\mathrm{OC}}$ in the given figure are equal. The direction of $\overrightarrow{\mathrm{OA}}+\overrightarrow{\mathrm{OB}}-\overrightarrow{\mathrm{OC}}$ with $x$-axis...

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What will be the magnitude of electric field at point O as shown in figure? Each side of the figure...

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The fractional change in the magnetic field intensity at a distance ' $r$ ' from centre on the axis of...

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A cylindrical container of volume $4.0 \times 10^{-3} \mathrm{~m}^3$ contains one mole of hydrogen and two moles of carbon dioxide....

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A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in...

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The de-Broglie wavelength of a particle having kinetic energy E is $\lambda$. How much extra energy must be given to...

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The temperature of equal masses of three different liquids x,y and z are 10ºC, 20ºC and 30ºC respectively. The temperature...

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An engine is attached to a wagon through a shock absorber of length 1.5 m . The system with a...

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A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal base band signal of amplitude 150...

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A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and...

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A steel rod with $\mathrm{y}=2.0 \times 10^{11} \mathrm{Nm}^{-2}$ and $\alpha=10^{-5^{\circ}} \mathrm{C}^{-1}$ of length 4 m and area of cross-section 10...

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A uniform heating wire of resistance 36 Ω is connected across a potential difference of 240 V. The wire is...

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The average translational kinetic energy of N2 gas molecules at ...........°C becomes equal to the K.E. of an electron accelerated...

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When a body slides down from rest along a smooth inclined plane making an angle of 30° with the horizontal,...

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Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour...

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Consider the following statements : A. Atoms of each element emit characteristics spectrum. B. According to Bohr’s Postulate, an electron...

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oportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x : 4 where...

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The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0 °C without changing the pressure of...

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Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their...

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Electric field of plane electromagnetic wave propagating through a non–magnetic medium is given by $...

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Figure A and B shown two long straight wires of circular cross-section (a and b with a < b), carrying...

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The nuclear activity of a radioactive element becomes $\left(\frac{1}{8}\right)^{\text {th }}$ of its initial value in 30 years. The half-life...

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Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational...

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In a semiconductor, the number density of intrinsic charge carriers at $27^{\circ} \mathrm{C}$ is $1.5 \times 10^{16} / \mathrm{m}^3$. If...

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Q JEE MAIN 2021

Find the truth table for the function Y of A and B represented in the following figure.

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A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm...

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A capacitor is connected to a 20 V battery through a resistance of 10Ω. It is found that the potential...

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A force of $\mathrm{F}=(5 \mathrm{y}+20) \mathrm{j} \mathrm{N}$ acts on a particle. The workdone by this force when the particle is...

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A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed...

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From the given data, the amount of energy required break the nucleus of aluminium ${ }_{13}^{27} \mathrm{Al}$ is $\_\_\_\_$ $...

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An object of mass 'm' is being moved with a constant velocity under the action of an applied force of...

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Two circuits are shown in the figure (a) & (b). At a frequency of ________rad/s the average power dissipated in...

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For the given circuit the current i through the battery when the key in closed and the steady state has...

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A $16 \Omega$ wire is bend to form a square loop. A 9 V supply having internal resistance of $...

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A message signal of frequency 20 kHz and peak voltage of 20 volt is used to modulate a carrier wave...

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In the given figure, each diode has a forward bias resistance of 30 Ω and infinite resistance in reverse bias....

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Two Carnot engines A and B operate in series such that engine A absorbs heat at $\mathrm{T}_1$ and rejects heat...

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A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV , placed...

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A system consists of two types of gas molecules $A$ and $B$ having same number density $...

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A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (μ...

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A simple pendulum of mass ‘m’ length ‘l’ and charge ‘+q’ suspended in the electric field produced by two conducting...

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Following plots show Magnetization (M) vs Magnetising field (H) and Magnetic susceptibility (χ) vs temperature (T) graph :

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Two vectors $\vec{X}$ and $\vec{Y}$ have equal magnitude. The magnitude of $(\vec{X}-\vec{Y})$ is $n$ times the magnitude of $(\vec{X}+\vec{Y})$. The...

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The half life period of radioactive element x is same as the mean life time of another radioactive element y....

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A 100 $\Omega$ resistance, a 0.1 $\mu \mathrm{F}$ capacitor and an inductor are connected in series across a 250 V...

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When radiation of wavelength $\lambda$ is incident on a metallic surface, the stopping potential of ejected photoelectrons is 4.8 V...

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Two resistors $\mathrm{R}_1=(4 \pm 0.8) \Omega$ and $\mathrm{R}_2=(4 \pm 0.4) \Omega$ are connected in parallel. The equivalent resistance of their...

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A ray of light entering from air into a denser medium of refractive index $\frac{4}{3}$, as shown in figure. The...

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Given below is the plot of a potential energy function U (x) for a system, in which a particle is...

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Due to cold weather a 1 m water pipe of cross–sectional area 1 cm2 is filled with ice at –10°C....

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The instantaneous velocity of a particle moving in a straight line is given as $\mathrm{v}=\alpha \mathrm{t}+\beta \mathrm{t}^2$, where $\alpha$ and...

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A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The...

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Match List I with List II. Choose the correct answer from the options given below

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An electron moving with speed v and a photon moving with speed c, have same D-Broglie wavelength. The ratio of...

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The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the...

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The given potentiometer has its wire of resistance $10 \Omega$. When the sliding contact is in the middle of the...

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An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T)...

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A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of $0.8 \sqrt{g h}$...

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The force is given in terms of time t and displacement x by the equation F = A cos Bx...

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The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approximately at...

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A square loop of side 20 cm and resistance 1Ω is moved towards right with a constant speed v0. The...

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Two spherical soap bubbles of radii $r_1$ and $r_2$ in vacuum combine under isothermal conditions. The resulting bubble has a...

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A cube is placed inside an electric field, $\overrightarrow{\mathrm{E}}-=150 \mathrm{y}^2 \hat{\mathrm{j}}$. The side of the cube is 0.5 m and...

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Two ideal electric dipoles $A$ and $B$ having their dipole moment $p_1$ and $p_2$ respectively are placed on a plane...

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One mole of an ideal gas is taken through an adiabatic process where the temperature rises from $27^{\circ} \mathrm{C}$ to...

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Consider a planet in some solar system which has a mass double the mass of earth and density equal to...

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A particle of mass ' $m$ ' is moving in time ' $t$ ' on a trajectory given by $$...

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If $\mathrm{g}_{\mathrm{f}}$ is the free charge on the capacitor plates and $\mathrm{g}_{\mathrm{b}}$ is the bound charge on the dielectric slab...

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A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The...

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A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above...

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A balloon was moving upwards with a uniform velocity of $10 \mathrm{~m} / \mathrm{s}$. An object of finite mass is...

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An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The...

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The expected graphical representation of the variation of angle of deviation ‘δ’ with angle of incidence ‘i’ in a prism...

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A $10 \Omega$ resistance is connected across $220 \mathrm{~V}-50 \mathrm{~Hz} \mathrm{AC}$ supply. The time taken by the current to change...

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A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at...

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An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV....

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The value of aluminium susceptibility is $2.2 \times 10^{-5}$. The percentage increase in the magnetic field if space within a...

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Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform...

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In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the...

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In the given potentiometer circuit arrangement, the balancing length AC is measured to be 250 cm . When the galvanometer...

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A circular conducting coil of radius 1 m is being heated by the change of magnetic field $\vec{B}$ passing perpendicular...

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a heat engine has an efficiency of $\frac{1}{6}$. When the temperature ofsink is reduced by $62^{\circ} \mathrm{C}$ its efficiency get...

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An inductor of 10 mH is connected to a 20 V battery through a resistor of $10 \mathrm{k} \Omega$ and...

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A prism of refractive index μ and angle of prism A is placed in the position of minimum angle of...

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A force $\overrightarrow{\mathrm{F}}=(40 \hat{\mathrm{i}}+10 \hat{\mathrm{j}}) \mathrm{N}$ acts on a body of mass 5 kg . If the body starts from...

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22. Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure...

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In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the...

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A body of mass 2 kg moving with a speed of $4 \mathrm{~m} / \mathrm{s}$. makes an elastic collision with...

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The relation between time $t$ and distance $x$ for a moving body is given as $t=m x^2+n x$, where $m$...

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The minimum and maximum distances of a planet revolving around the Sun are $x_1$ and $x_2$. If the minimum speed...

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Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th...

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In 5 minutes, a body cools from 75ºC to 65ºC at room temperature of 25ºC. The temperature of body at...

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Three students $S_1, S_2$ and $S_3$ perform an experiment for determining the acceleration due to gravity (g) using a simple...

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In amplitude modulation, the message signal $...

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The area of cross-section of a railway track is $0.01 \mathrm{~m}^2$. the temperature variation is $10^{\circ} \mathrm{C}$. Coefficient of linear...

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In the given figure, there is a circuit of potentiometer of length AB = 10 m. The resistance per unit...

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A ray of light passing through a prism $(\mu=\sqrt{3})$ suffers minimum deviation. It is found that the angle of incidence...

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A linearly polarized electromagnetic wave in vacuum is $\mathrm{E}=3.1 \cos \left[(1.8) \mathrm{z}-\left(5.4 \times 10^6\right) \mathrm{t}\right] \hat{\mathrm{iN}} / \mathrm{C}$ is incident...

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The centre of a wheel rolling on a plane surface moves with a speed $v_0$. A particle on the rim...

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Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The...

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Three particles P, Q and R are moving along the vectors $\vec{A}=\hat{i}+\hat{j}, \vec{B}=\hat{j}+\hat{k}$ and $\vec{C}=-\hat{i}+\hat{j}$ respectively. They strike on a...

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In the Young's double slit experiment, the distance between the slits varies in time as $d(t)=d_0+a_0 \sin \omega t$; where...

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The total charge enclosed in an incremental volume of $2 \times 10^{-9} \mathrm{~m}^3$ located at the origin is $\_\_\_\_$ $...

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In an electric circuit, a call of certain emf provides a potential difference of 1.25 V across a load resistance...

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The position of the centre of mass of a uniform semi-circular wire of radius ' $R$ ' placed in $x-y$...

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In a given circuit diagram, a 5 V zener diode along with a series resistance is connected across a 50...

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What will be the magnitude of electric field at point O as shown in figure? Each side of the figure...

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Consider the following statements : A. Atoms of each element emit characteristics spectrum. B. According to Bohr’s Postulate, an electron...

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Q JEE MAIN 2021

Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their...

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Figure A and B shown two long straight wires of circular cross-section (a and b with a < b), carrying...

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Q JEE MAIN 2021

Find the truth table for the function Y of A and B represented in the following figure.

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Two Carnot engines A and B operate in series such that engine A absorbs heat at $T_1$ and rejects heat...

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A carrier wave $V_c(t)=160 \sin \left(2 \pi \times 10^6 t\right)$ volts is made to vary between $V_{\max }=200 \mathrm{~V}$ and...

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Two billard balls of equal mass 30 g strike a rigid wall with same speed of 108 kmph (as shown)...

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The half-life of ${ }^{198} \mathrm{Au}$ is 3 days. If atomic weight of ${ }^{198} \mathrm{Au}$ is $...

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A simple pendulum of mass ' m' length ' l ' and charge ' $+q$ ' suspended in the electric...

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The frequency of a car horn encountered a change from 400 Hz to 500 Hz. When the car approaches a...

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A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to...

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Two wires of same length and radius are joined end to end and loaded. The Young's moduli of the material...

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An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an...

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an electric dipole is placed on $x$-axis in proximity to a line charge of linear charge density $...

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A ray of laser of a wavelength 630 nm is incident at an angle of 30º at the diamond-air interface....

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A monoatomic ideal gas, initially at temperature $T_1$ is enclosed in a cylinder fitted with a frictionless pistion. The gas...

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A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm'...

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A $100 \Omega$ resistance, a $0.1 \mu \mathrm{~F}$ capacitor and an inductor are connected in series across a 250 V...

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In a uniform magnetic field, the magnetic needle has a magnetic moment $9.85 \times 10^{-2} \mathrm{~A} / \mathrm{m}^2$ and moment...

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A parallel plate capacitor with plate area ‘A’ and distance of separation ‘d’ is filled with a dielectric. What is...

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Given below is the plot of a potential energy function $\mathrm{U}(\mathrm{x})$ for a system, in which a particle is in...

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Intensity of sunlight is observed as $0.092 \mathrm{Wm}^{-2}$ at a point in free space. What will be the peak value...

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Match List I with List II

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A transistor is connected in common emitter circuit configuration, the collector supply voltage is 10 V and the voltage drop...

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A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of cross...

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What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T?

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Some muclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of...

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A prism of refractive index $n_1$ and another prism of refractive index $n_2$ are stuck together (as shown in the...

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In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the...

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What should be the height of transmitting antenna and the population covered if the television telecast is to cover a...

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Match List I with List II.

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A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero...

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Match List-I with List-II : Choose the correct answer from the options given below :

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SOLVE THE FIG

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What should be the order of arrangement of de-Broglie wavelength of electron ( $\lambda_{\mathrm{e}}$ ), an $\alpha$-particle ( $\lambda_\alpha$ )...

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An electron of mass me and a proton of mass $\mathrm{m}_{\mathrm{p}}$ are accelerated through the same potential difference. The ratio...

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An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period $(\mathrm{T})$...

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Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R....

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One mole of an ideal gas is taken through an adiabatic process where the temperature rises from $27^{\circ} \mathrm{C}$ to...

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A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it slips down the...

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In the reported figure, heat energy absorbed by a system in going through a cyclic process is ______ $\pi \mathrm{J}$.

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A body having specific charge 8 $\mu \mathrm{C} / \mathrm{g}$ is resting on a frictionless plane at a distance 10...

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A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above...

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The amplitude of wave disturbance propagating in the positive x-direction is given by $y=\frac{1}{(1+x)^2}$ at time t = 0 and...

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In an LCR series circuit, an inductor 30 mH and a resistor $1 \Omega$ are connected to an AC source...

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The expected graphical representation of the variation of angle of deviation ' $\delta$ ' with angle of incidence ' i...

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In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is put in...

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A particle of mass $9.1 \times 10^{-31} \mathrm{~kg}$ travels in a medium with a speed of $10^6 \mathrm{~m} / \mathrm{s}$...

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An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV....

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A radioactive sample has an average life of 30 ms and is decaying. A capacitor of capacitance $200 \mu \mathrm{~F}$...

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In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius $0.5 \AA$. If the...

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The radiation corresponding to 32 transition of a hydrogen atom falls on a gold surface to generate photoelectrons. These electrons...

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Suppose two planets (spherical in shape) of radii $R$ and $2 R$, but mass $M$ and $9 M$ respectively have...

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Consider an electrical circuit containing a two way switch ' $S$ '. Initially $S$ is open and then $T_1$ is...

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A body takes 4 min . to cool from $61^{\circ} \mathrm{C}$ to $59^{\circ} \mathrm{C}$. If the temperature of the surroundings...

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The entropy of any system is given by $\mathrm{S}=\alpha^2 \beta 1 \mathrm{n}\left[\frac{\mu \mathrm{kR}}{\mathrm{J} \beta^2}+3\right]$ Where $\alpha$ and $\beta$ are the...

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Assertion A : If in five complete rotations of the circular scale, the distance travelled on main scale of the...

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The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is...

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A nucleus with mass number 184 initially at rest emits an $\alpha$-particle. If the Q value of the reaction is...

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Two identical tennis balls each having mass ' $m$ ' and charge ' $q$ ' are suspended from a fixed...

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Consider a situation in which reverse biased current of a particular P-N junction increases when it is exposed to a...

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Young’s moduli of two wires A and B are in the ratio 7 : 4. Wire A is 2 m...

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A 0.07 H inductor and a $12 \Omega$ resistor are connected in series to a $220 \mathrm{~V}, 50 \mathrm{~Hz}$ ac...

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A particle starts from origin O from rest and moves with a uniform acceleration along the positive x-axis. Identify all...

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Consider a situation in which a ring, a solid cylinder and a solid sphere roll down on the same inclined...

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The arm PQ of a rectangular conductor is moving from x = 0 to x = 2b outwards and then...

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Choose the correct option :

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A carrier wave with amplitude of 250 V is amplitude modulated by a sinusoidal base band signal of amplitude 150...

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For the circuit shown below, calculate the value of $\mathrm{I}_z:$

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An engine is attached to a wagon through a shock absorber of length 1.5 m . The system with a...

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The value of tension in a long thin metal wire has been changed from $\mathrm{T}_1$ to $\mathrm{T}_2$. The lengths of...

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A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and...

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A ball is thrown up with a certain velocity so that it reaches a height ' $h$ '. Find the...

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A bullet of ' 4 g ' mass is fired from a gun of mass 4 kg . If the...

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Two capacitors of capacities 2C and C are joined in parallel and charged up to potential V. The battery is...

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A butterfly is flying with a velocity $4 \sqrt{2} \mathrm{~m} / \mathrm{s}$ in North-East direction. Wind is slowly blowing at...

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Statement I : The ferromagnetic property depends on temperature. At high temperature, ferromagnet becomes paramagnet. Statement II : At high...

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A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Both...

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If ' $f$ ' denotes the ratio of the number of nuclei decayed $\left(N_d\right)$ to the number of nuclei at...

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A ray of light passes from a denser medium to a rarer medium at an angle of incidence $i$. The...

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A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kinetic...

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A steel rod with $y=2.0 \times 10^{11} \mathrm{Nm}^{-2}$ and $\alpha=10^{-5} \mathrm{C}^{-1}$ of length 4 m and area of cross-section $...

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To is the time period of a simple pendulum at a place. If the length of the pendulum is reduced...

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A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A hole of crosssectional area...

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Consider a mixture of gas molecule of types A, B and C having masses $\mathrm{m}_{\mathrm{A}}

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The ratio of mass densities of nuclei ${ }^{40} \mathrm{Ca}$ and ${ }^{16} \mathrm{O}$ is close to :

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A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance...

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Assertion $\mid \mathrm{A}$ : If $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ are four points on a semi-circular arc with centre at '...

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A convex lens (of focal length 20 cm) and a concave mirror, having their principal axes along the same lines,...

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A positive point charge is released from rest at a distance $r_0$ from a positive line charge with uniform density....

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A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al)...

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A uniform heating wire of resistance 36 Ω is connected across a potential difference of 240 V. The wire is...

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In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas....

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A current of 5 A is passing through a non-linear magnesium wire of cross-section $0.04 \mathrm{~m}^2$ . At every point...

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In Young’s double slit experiment, if the source of light changes from orange to blue then :

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In a circuit consisting of a capacitance and a generator with alternating emf $\mathrm{E}_9=\mathrm{E}_{90} \sin \omega t, \mathrm{~V}_c$ and $\mathrm{I}_c$...

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The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for...

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Calculate the limit of resolution of a telescope objective having a diameter of 200 cm , if it has to...

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In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor....

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The average translational kinetic energy of $\mathrm{N}_2$ gas molecules at $\_\_\_\_$ ${ }^{\circ} \mathrm{C}$ becomes equal to the K.E. of...

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Let $\left|\overrightarrow{A_1}\right|=3,\left|\overrightarrow{A_2}\right|=5$ and $\left|\overrightarrow{A_1}+\overrightarrow{A_2}\right|=5$. The value of $\left(2 \overrightarrow{A_1}+3 \overrightarrow{A_2}\right) \cdot\left(3 \overrightarrow{A_1}-2 \overrightarrow{A_2}\right)$ is:

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A capacitor of capacitance $\mathrm{C}=1 \mu \mathrm{~F}$ is suddenly connected to a battery of 100 volt through a resistance $...

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A certain charge Q is divided into two parts q and (Q–q). How should the charges Q and q be...

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Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of...

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In the figure shown, what is the current (in Ampere) drawn from the battery? You are given : $$ \begin{aligned}...

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Choose the correct answer from the options given below :

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A nucleus of mass M emits -ray photon of frequency ‘v’. The loss of internal energy by the nucleus is...

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A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure....

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The relative permittivity of distilled water is 81 . The velocity of light in it will be : (Given $\left.\mu_r=1\right)$

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When a body slides down from rest along a smooth inclined plane making an angle of $30^{\circ}$ with the horizontal,...

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The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean...

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A rectangular solid box of length 0.3 m is held horizontally, with one of its sides on the edge of...

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In the given figure, a battery of emf E is connected across a conductor PQ of length ' I '...

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A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let rd and $\mathbf{r}_\alpha$...

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Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are 1 hour...

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An electric dipole is formed by two equal and opposite charges $q$ with separation $d$. The charges have same mass...

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If $\vec{A}$ and $\vec{B}$ are two vectors satisfying the relation $\vec{A} \cdot \vec{B}=|\vec{A} \times \vec{B}|$. Then the value of $|\vec{A}-\vec{B}|$...

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In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillations is measured...

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A rocket has to be launched from earth in such a way that it never returns. If E is the...

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Proportional to the slit-width, the ratio of minimum to maximum intensity in the interference pattern is x : 4 where...

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A nucleus $A$, with a finite de-Broglie wavelength $\lambda_A$, undergoes spontaneous fission into two nuclei $B$ and $C$ of equal...

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In the circuit shown, a four wire potentiometer is made of a 400 cm long wire, which extends between A...

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The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from $0^{\circ} \mathrm{C}$...

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The temperature of 3.00 mol of an ideal diatomic gas is increased by $40.0^{\circ} \mathrm{C}$ without changing the pressure of...

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The magnetic field of an electromagnetic wave is given by: $$ \vec{B}=1.6 \times 10^{-6} \cos \left(2 \times 10^7 z+6 \times...

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A radioactive substance decays to $\left(\frac{1}{16}\right)^{\text {th }}$ of its initial activity in 80 days. The half life of the...

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There are two infinitely long straight current carrying conductors and they are held at right angles to each other so...

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A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The...

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A circuit connected to an ac source of emf $e=e_0 \sin (100 t)$ with $t$ in seconds, gives a phase...

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A certain metallic surface is illuminated by monochromatic radiation of wavelength $\lambda$. The stopping potential for photoelectric current for this...

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Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region...

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One mole of an ideal gas at $27^{\circ} \mathrm{C}$ is taken from A to B as shown in the given...

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If Surface tension (S), Moment of Inertia (I) and Planck’s constant (h), were to be taken as the fundamental units,...

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A series LCR circuit of R $=5 \Omega, \mathrm{~L}=20 \mathrm{mH}$ and $\mathrm{C}=0.5 \mu \mathrm{~F}$ is connected across an AC supply...

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AC voltage V(t) = 20 $\sin \omega t$ of frequency 50 Hz is applied to a parallel plate capacitor. The...

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A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for...

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For the forward biased diode characteristics shown in the figure, the dynamic resistance at $\mathrm{I}_{\mathrm{D}}=3 \mathrm{~mA}$ will be $\_\_\_\_$ $\Omega$

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Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by $...

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Two magnetic dipoles $X$ and $Y$ are placed at a separation $d$, with their axes perpendicular to each other. The...

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Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The...

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The given diagram shows four processes i.e., isochoric, isobaric, isothermal and adiabatic. The correct assignment of the processes, in the...

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Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational...

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In the given figure switches $S_1$ and $S_2$ are in open condition. The resistance across ab when the switches $S_1$...

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A parallel plate capacitor has $1 \mu \mathrm{~F}$ capacitance. One of its two plates is given $+2 \mu \mathrm{C}$ charge...

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A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on...

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A body of mass 'm ' is launched up on a rough inclined plane making an angle of $30^{\circ}$ with...

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The electric field in a region is given by $\vec{E}=(A x+B) \hat{i}$, where $E$ is in $N C^{-1}$ and $x$...

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A zener diode having zener voltage 8 V and power dissipation rating of 0.5 W is connected across a potential...

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A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years respectively....

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In a line of sight radio communication, a distance of about 50 km is kept between the transmitting and receiving...

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A body of mass $m_1$ moving with an unknown velocity of $v_1 \hat{i}$, undergoes a collinear collision with a body...

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The magnetic susceptibility of a material of a rod is 499 . Permeability in vacuum is $...

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The normal reaction ‘N’ for a vehicle of 800 kg mass, negotiation a turn on a $30^{\circ}$ banked road at...

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A capacitor is connected to a 20 V battery through a resistance of $10 \Omega$. It is found that the...

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A cell of internal resistance r drives current through an external resistance R. The power delivered by the cell to...

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Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total...

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The Value of current in the $6 \Omega$ resistance is :

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Two vectors $\vec{P}$ and $\vec{Q}$ have equal magnitudes. If the magnitude of $\vec{P}+\vec{Q}$ is $n$ times magnitude of $\vec{P}-\vec{Q}$, then...

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A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance...

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A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed...

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At an angle of 30° to the magnetic meridian, the apparent dip is 45°. Find the true dip :

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Consider a binary star system of star $A$ and star $B$ with masses $m_A$ and $m_B$ revolving in a circular...

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For a certain radioactive process the graph between In R and t(sec) is obtained as shown in the figure. Then...

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An object of mass 'm' is being moved with a constant velocity under the action of an applied force of...

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The correct relation between the degrees of freedom f and the ratio of specific heat

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If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass...

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For the given circuit the current i through the battery when the key in closed and the steady state has...

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A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic...

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An electron having de- Broglie wavelength $\lambda$ is incident on a target in a X-ray tube. Cut – off wavelength...

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In the given figure, each diode has a forward bias resistance of $30 \Omega$ and infinite resistance in reverse bias....

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A particle is making simple harmonic motion along the X -axis. If at a distances $\mathrm{X}_1$ and $\mathrm{X}_2$ from the...

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Which of the following graphs represent the behavior of an ideal gas ? Symbols have their usual meaning

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For a series LCR circuit with R $=100 \Omega, \mathrm{~L}=0.5 \mathrm{mH}$ and $\mathrm{C}=0.1 \mathrm{pF}$ connected across $220 \mathrm{~V}-50 \mathrm{~Hz} \mathrm{AC}$...

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In an electromagnetic wave the electric field vector and magnetic field vector are given as $\overrightarrow{\mathrm{E}}=\mathrm{E}_0 \hat{\mathrm{i}}$ and $\overrightarrow{\mathrm{B}}=\mathrm{B}_0$ respectively....

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A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (...

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The length of a metal wire is $\ell_1$, when the tension in it is $\mathrm{T}_1$ and is $\ell_2$ when the...

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With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890...

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Following plots show Magnetization (M) vs Magnetising field (H) and Magnetic susceptibility ( $\alpha$ ) vs temperature (T) graph :...

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A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into...

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A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in...

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If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in...

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Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane...

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10. The half life period of radioactive element x is same as the mean life time of another radioactive element...

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A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the...

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A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If...

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Two resistors $\mathrm{R}_1=(4 \pm 0.8) \Omega$ and $\mathrm{R}_2=(4 \pm 0.4) \Omega$ are connected in parallel. The equivalent resistance of their...

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A wire of length 30 cm, stretched between rigid supports, has it’s $\mathrm{n}^{\text {th }}$ and $(n+1)^{t h}$ harmonics at...

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A student determined Young's Modulus of elasticity using the formula $Y=\frac{\mathrm{MgL}^3}{4 \mathrm{bd}^3 \delta}$. The value of g is taken to...

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A parallel plate capacitor with width 4 cm, length 8 cm and separation between the plates of 4 mm is...

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As show in the figure, in steady state, the charge stored in the capacitor is ………… $\times 10^{-6} \mathrm{C}$.

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A conducting circular loop is placed in X – Y plane in presence of magnetic field $...

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A thin prism of angle 6º and refractive index for yellow light $\left(n_Y\right)$ 1.5 is combined with another prism of...

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Due to cold weather a 1 m water pipe of cross-sectional area $1 \mathrm{~cm}_2$ is filled with ice at $...

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In the given figure of meter bridge experiment, the balancing length AC corresponding to null deflection of the galvanometer is...

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In an experiment to determine the Young’s modulus, steel wires of five different lengths (1,2,3, 4 and 5 m) but...

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A block of mass $m$ slides on the wooden wedge, which in turn slides backward on the horizontal surface. The...

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A square wave of the modulating signal is shown in the figure. The carrier wave is given by C(t) =...

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For a constant collector-emitter voltage of 8V, the collector current of a transistor reached to the value of 6 mA...

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The activity of a radioactive material is $6.4 \times 10^{-4}$ curie. Its half life is 5 days. The activity will...

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The ranges and heights for two projectiles projected with the same initial velocity at angles $42^{\circ}$ and $48^{\circ}$ with the...

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With reference to the observations in photo-electric effect, identify the correct statements from below: A. The square of maximum velocity...

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A body of mass ' $m$ ' dropped from a height ' $h$ ' reaches the ground with a speed...

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Two coherent sources of light interfere. The intensity ratio of two sources is 1 : 4. For this interference pattern...

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Identify the correct statements from the following descriptions of various properties of electromagnetic waves. A. In a plane electromagnetic wave...

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The temperature of an ideal gas in 3-dimensions is 300 K . The corresponding de-Broglie wavelength of the electron approximately...

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A series LCR circuit has L = 0.01 H, R = 10 $\Omega$ and C = 1 $\mu \mathrm{F}$ and...

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A square loop of side 20 cm and resistance $1 \Omega$ is moved towards right with a constant speed vo....

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A cyclotron in used to accelerate protons. If the operating magnetic field is 1.0 T and the radius of the...

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A compass needle of oscillation magnetometer oscillates 20 times per minute at a place P of dip $30^{\circ}$ The number...

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A cube is placed inside an electric field, ${ }^{\hat{\mathrm{E}}-=150 \mathrm{y}^2 \mathrm{j}}$. The side of the cube is 0.5 m...

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A. The drift velocity of electrons decreases with the increase in the temperature of conductor. B. The drift velocity is...

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A charge of $4 \mu \mathrm{C}$ is to be divided into two. The distance between the two divided charges is...

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A galaxy is moving away from the earth at a speed of $286 \mathrm{kms}^{-1}$. The shift in the wavelength of...

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Two wires of same length and thickness having specific resistances $6 \Omega \mathrm{~cm}$ and $3 \Omega \mathrm{~cm}$ respectively are connected...

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Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on...

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An infinite number of point charges, each carrying $1 \mu \mathrm{C}$ charge, are placed along the y -axis at $...

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The radius of a sphere is measured to be $(7.50 \pm 0.85) \mathrm{cm}$. Suppose the percentage error in its volume...

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A TV transmission tower antenna is at a height of 20 m. Suppose that the receiving antenna is at. (i)...

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Consider a water tank as shown in the figure. It's cross-sectional area is $0.4 \mathrm{~m}^2$. The tank has an opening...

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The typical output characteristics curve for a transistor working in the common-emitter configuration is shown in the figure. The estimated...

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A ball of mass 4 kg , moving with a velocity of 10 $\mathrm{ms}^{-1}$, collides with a spring of length...

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The projectile motion of a particle of mass 5 g is shown in the figure. The initial velocity of the...

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The speed of electrons in a scanning electron microscope is $1 \times 10^7 \mathrm{~ms}^{-1}$. If the protons having the same...

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Consider a sample of oxygen behaving like an ideal gas. At 300 K , the ratio of root mean square...

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An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one...

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A particle of mass $m$ moves in a circular orbit under the central potential field, $U(r)=\frac{-C}{r}$, where C is a...

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The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R,...

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A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined...

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The function of time representing a simple harmonic motion with a period of $\frac{\pi}{\omega}$ is :

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The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $\overrightarrow{\mathrm{L}}$. The...

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In a series LCR circuit, the inductive reactance $\left(X_L\right)$ is $10 \Omega$ and the capacitive reactance $\left(\mathrm{X}_{\mathrm{c}}\right)$ is $4 \Omega$....

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The decay of a proton to neutron is :

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If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration...

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Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a...

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The correct relation between $\alpha$ (ratio of collector current to emitter current) and $\beta$ (ratio of collector current to base...

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The velocity-displacement graph of a particle is shown in the figure. The acceleration-displacement graph of the same particle is represented...

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Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia...

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A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $(\vec{E})$ and magnetic field $(\vec{B})$...

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A proton and an a-particle, having kinetic energies $\mathrm{K}_{\mathrm{a}}$ and $\mathrm{K}_{\mathrm{a}}$, respectively, enter into a magnetic field at right angles....

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For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $\gamma$ is...

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An object of mass $m_1$ collides with another object of mass $m_2$, which is at rest. After the collision the...

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Which of the following statements are correct? (A) Electric monopoles do not exist whereas magnetic monopoles exist. (B) Magnetic field...

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The ore that contains both iron and copper is

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Seawater at a frequency $f=9 \times 10^2 \mathrm{~Hz}$, has permittivity $\varepsilon=80 \varepsilon_0$ and resistivity $r=0.25 \Omega \mathrm{~m}$. Imagine a parallel...

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Two masses $m$ and $\frac{m}{2}$ are connected at the two ends of a massless rigid rod of length $I$. The...

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A $2 \mu \mathrm{~F}$ capacitor $\mathrm{C}_1$ is first charged to a potential difference of 10 V using a battery. Then...

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Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the...

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The image of an object placed in air formed by a convex refracting surface is at a distance of 10...

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The disc of mass $M$ with uniform surface mass density $s$ is shown in the figure. The centre of mass...

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For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a...

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The electric field in a region is given by $\vec{E}=\frac{2}{5} E_0 \hat{i}+\frac{3}{5} E_0 \hat{j}$ with $E_0=4.0 \times 10^3 \frac{N}{C}$. The...

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A sample of radioactive material A , that has an activity of $10 \mathrm{mCi}\left(1 \mathrm{Ci}=3.7 \times 10^{10}\right.$ decays $\left./ \mathrm{s}\right)$,...

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A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a...

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A particle of mass $m$ moves in a circular orbit in a central potential field $U(r)=U_0 r^4$. If Bohr's quantization...

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A boy of mass 4 kg is standing on a piece of wood having mass 5kg. If the coefficient of...

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Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section $5 \mathrm{~mm}_2$, is...

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A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction...

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An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure....

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The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m...

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A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of $1 \mathrm{~ms}^{-1}$ goes...

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Three charges +Q, q, +Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis....

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A rod, length $L$ at room temperature and uniform area of cross section $A$, is made of a metal having...

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What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved ?

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When the switch S, in the circuit shown, is closed, then the value of current i will be

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Two identical photocathodes receive the light of frequencies $f_1$ and $f_2$ respectively. If the velocities of the photo-electrons coming out...

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The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying in...

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Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a...

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For an ideal heat engine, the temperature of the source is 127°C. In order to have 60% efficiency the temperature...

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A solid disc of radius ' $a$ ' and mass ' $m$ ' rolls down without slipping on an inclined...

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Match list I with List II

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A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $\rho_1$ and $\rho_2$ respectively....

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Two particles A and B of equal masses are suspended from two massless springs of spring constants $K_1$ and $K_2$...

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The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of $15 \Omega$ resistance...

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A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6...

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s $(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+5 \hat{\mathrm{k}}) \mathrm{N}$. It starts from rest and was at the origin initially. After 4s, its new...

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A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the...

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A deviation of 2° is produced in the yellow ray when prism of crown and flint glass are achromatically combined....

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An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as...

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If one wants to remove all the mass of the earth to infinity in order to break it up completely....

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A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a...

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A force $\vec{F}-=4 \hat{i}+3 \hat{j}+4 \hat{k}$ is applied on an intersection point of $x=2$ plane and $x$-axis. The magnitude of...

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Two cells of emf 2E and E with internal resistance r1 and r2 respectively are connected in series to an...

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In a parallel plate capacitor set up, the plate area of capacitor is $2 \mathrm{~m}^2$ and the plates are separated...

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A carrier signal $C(t)=25 \sin \left(2.512 \times 10^{10} t\right)$ is amplitude modulated by a message signal $...

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The energy dissipated by a resistor is 10 mJ in 1 s when an electric current of 2 mA flows...

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Red light differs from blue light as they have:

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The velocity of a particle is $\mathrm{v}=\mathrm{v}_0+\mathrm{gt}+\mathrm{Ft}^2$. Its position is $\mathrm{x}=0$ at $\mathrm{t}=0$; then its displacement after time $(\mathrm{t}=1)$ is...

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If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L,...

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Calculate the time interval between 33% decay and 67% decay if half-life of a substance is 20 minutes.

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Which one is the correct option for the two different thermodynamic processes ?

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A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force...

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Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass = 500g, Decay constant...

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A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of...

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A sound wave of frequency 245 Hz travels with the speed of 300 ms–1 along the positive x-axis. Each point...

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The magnetic field in a region is given by $\overrightarrow{\mathrm{B}}-=\mathrm{B}_0\left(\frac{\mathrm{x}}{\mathrm{a}}\right) \hat{\mathrm{k}}$. A square loop of side d is placed with...

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A geostationary satellite is orbiting around an arbitary planet 'P' at a height of 11R above the surface of 'P'...

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A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point...

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An object is located at 2 km beneath the surface of the water. If the fractional compression $\frac{\Delta V}{V}$ is...

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Three blocks $A, B$ and $C$ are lying on a smooth horizontal surface, as shown in the figure. $A$ and...

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Which one of the following will be the output of the given circuit ?

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A gas can be taken from A and B via two different processes ACB and ADB. When path ACB is...

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A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12...

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Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field....

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If one mole of the polyatomic gas is having two vibrational modes and b is the ratio of molar specific...

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Surface of certain metal is first illuminated with light of wavelength $\lambda_1=350 \mathrm{~nm}$ and then, by light of wavelength $...

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A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising...

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A resistance is shown in the figure. Its value and tolerance are given respectively by

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A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume...

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Consider a tank made of glass (refractive index 1.5) with a thick bottom. It is filled with a liquid of...

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A mixture of 2 moles of helium gas (atomic mass $=4 \mathrm{u}$ ), and 1 mole of argon gas (atomic...

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A convex lens is put 10 cm from a light source and it makes a sharp image on a screen,...

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Temperature difference of $120^{\circ} \mathrm{C}$ is maintained between two ends of a uniform rod AB of length 2 L ....

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A conducting circular loop made of a thin wire, has area $3.5 \times 10-3 \mathrm{~m} 2$ and resistance $10 \Omega$....

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A parallel plate capacitor is made of two square plates of side a, separated by a distance d(d

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Two identical antennas mounted on identical towers are separated from each other by a distance of 45 km. What should...

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Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh–1 and takes a...

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A heavy ball of mass $M$ is suspended from the ceiling of a car by a light string of mass...

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A resistor develops 500 J of thermal energy in 20s when a current of 1.5 A is passed through it....

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A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. The metal A has higher...

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The refractive index of a converging lens is 1.4 . What will be the focal length of this lens if...

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Calculate the value of mean free path ( $\lambda$ ) for oxygen molecules at temperature $27^{\circ} \mathrm{C}$ and pressure $...

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The half-life of $\mathrm{Au}^{198}$ is 2.7 days. The activity of 1.50 mg of $\mathrm{Au}^{198}$ if its atomic weight is $...

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For the given circuit, comment on the type of transformer used :

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The de-Broglie wavelength associated with an electron and a proton were calculated by accelerating them through same potential of 100...

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Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the...

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What will be the nature of flow of water from a circular tap, when its flow rate increased from 0.18...

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A charge $Q$ is moving $\overline{\operatorname{dI}}$ distance in the magnetic field $\vec{B}$ - Find the value of work done by...

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A large block of wood of mass $\mathrm{M}=5.99 \mathrm{~kg}$ is hanging from two long massless cords. A bullet of mass...

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The following logic gate is equivalent to :

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An electromagnetic wave of frequency 3 GHz enters a dielectric medium of relative electric permittivity 2.25 from vacuum. The wavelength...

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A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after...

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An npn transistor operates as a common emitter amplifier with a power gain of $10^6$. The input circuit resistance is...

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As shown in the figure, a particle of mass 10 kg is placed at a point $A$. When the particle...

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A ball of mass 10 kg moving with a velocity $10 \sqrt{3} \mathrm{~m} / \mathrm{s}$ along the x-axis, hits another...

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A parallel plate capacitor has plate area $100 \mathrm{~m}^2$ and plate separation of 10 m . The space between the...

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If $2.5 \times 10^{-6} \mathrm{~N}$ average force is exerted by a light wave on a non-reflecting surface of $30 \mathrm{~cm}^2$...

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Two blocks $(\mathrm{m}=0.5 \mathrm{~kg}$ and $\mathrm{M}=4.5 \mathrm{~kg})$ are arranged on a horizontal frictionless table as shown in figure. The coefficient...

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A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference $...

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The following bodies, (1) a ring (2) a disc (3) a solid cylinder (4) a solid sphere, of same mass...

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Consider two identical springs each of spring constant k and negligible mass compared to the mass $M$ as shown. Fig....

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The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that...

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Four identical rectangular plates with length, $l=2$ cm and breadth, $\mathrm{b}=\frac{3}{2} \mathrm{~cm}$ are arranged as shown in figure. The equivalent...

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The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equivalent resistance...

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The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of...

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For VHF signal broadcasting, $\_\_\_\_$ $\mathrm{km}^2$ of maximum service area will be covered by an antenna tower of height 30...

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A current of 10 A exists in a wire of crosssectional area of $5 \mathrm{~mm}^2$ with a drift velocity of...

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Two ideal polyatomic gases at temperatures $\mathrm{T}_1$ and $\mathrm{T}_2$ are mixed so that there is no loss of energy. If...

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Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

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A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of $20 \mathrm{~ms}^{-1}$. The ball...

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The output of the given combination gates represents :

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The thickness at the centre of a plano convex lens is 3 mm and the diameter is 6 cm ....

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A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The...

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For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

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A mass M hangs on a massless rod of length $l$ which rotates at a constant angular frequency. The mass...

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A person is swimming with a speed of $10 \mathrm{~m} / \mathrm{s}$ at an angle of $120^{\circ}$ with the flow...

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Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to...

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The voltage across the $10 \Omega$ resistor in the given circuit is $x$ volt. he value of 'x' to the...

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A solenoid of 1000 turns per mettes has a core with relative permeability 500. Insulated windings of the solenoid carry...

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The circuit shown in the figure consists of a charged capacitor of capacity $3 \mu \mathrm{~F}$ and a charge of...

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A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover...

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The time period of a satellite in a circular orbit of radius R is T. The period of another satellite...

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A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect...

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Your friend is having eye sight problem. She is not able lo see clearly a distant uniform window mesh and...

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An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to...

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In a scries LCR resonance circuit, if we change the resistance only, from a lower to higher value :

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In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor...

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The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :

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A particle is travelling 4 times as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle...

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In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at...

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The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done...

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A radioactive sample disintegrate via two independent decay processes having half lives $T_{1 / 2}^{(1)}$ and $T_{1 / 2}^{(2)}$ respectively....

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A car accelerates from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant...

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What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium...

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A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The...

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The time period of a pendulum is given by $\mathrm{T}=2 \pi \sqrt{\frac{l}{g}}$. The measured value of the length of pendulum...

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Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If...

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Water does not produce CO on reacting with:

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A thin circular ring of mass $M$ and radius $r$ is rotating about its axis with an angular speed $\omega$....

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A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the $x$-direction. At a particular point in...

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Imagine that the electron in a hydrogen atom is replaced by a muon $(\mu)$. The mass of muon particle is...

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Match List – I with List-II List- I (a) 10 km height over earth's surface (b) 70 km height over...

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An oil drop of radius 2 mm with a density $3 \mathrm{~g} \mathrm{~cm}^{-3}$ his held stationary under a constant electric...

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A modern grand-prix racing car of mass $m$ is travelling on a flat track in a circular arc of radius...

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An AC current is given by $\mathrm{I}=\mathrm{I} 1$ sincet +I 2 cosest. A hot wire ammeter will give a reading.

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Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the...

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The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it...

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Two identical metal wires of thermal conductivities K1 and K2 respectively are connected in series. The effective thermal conductivity of...

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A current of 6 A enters one corner P of an equilateral triangle PQR having 3 wires of resistance 2Ω...

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An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that...

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If an electron is moving in the $n^{\text {th }}$ orbit of the hydrogen atom, then its velocity $\left(\mathrm{v}_n\right)$ for...

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Two identical conducting spheres with negligible volume have 2.1 nC and -0.1 nC charges, respectively. They are brought into contact...

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A polyatomic ideal gas has 24 vibrational modes. What is the value of $\_\_\_\_$ y ?

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The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by...

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When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface...

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A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced...

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A triangular plate is shown. A force $=\vec{F}=4 \hat{i}-3 \hat{j}$ is applied at point P . The torque at point...

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The wavelength of an X-ray beam is $10 \A$. The mass of a fictitious particle having the same energy as...

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The initial velocity $v_i$ required to project a body vertically upward from the surface of the earth to reach a...

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The zener diode has a $V_z=30 \mathrm{~V}$. The current passing through the diode for the following circuit is $\_\_\_\_$ mA.

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Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m long. They are...

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A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity $...

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The peak electric field produced by the radiation coming from the 8 W bulb at a distance of 10 m...

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Consider the diffraction pattern obtained from the sunlight incident on a pinhole of diameter 0.1μm. If the diameter of the...

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1 mole of rigid diatomic gas performs a work of $Q / 5$ when heat $Q$ is supplied to it....

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Match List I with List II.

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In the reported figure of earth, the value of acceleration due to gravity is same at point A and C...

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Time period of a simple pendulum is $T$. The time taken to complete $5 / 8$ oscillations starting from mean...

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The maximum and minimum amplitude of an amplitude modulated wave is 16 V and 8 V respectively. The modulation index...

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A ball of mass 10 kg moving with a velocity $10 \sqrt{3} \mathrm{~ms}^{-1}$ along $X$-axis, hits another ball of mass...

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Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure....

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The resistance $R=\frac{V}{I}$, where $V=(50 \pm 2) V$ and $I=(20 \pm 0.2) A$. The percentage error in $R$ is '...

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In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output...

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A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which $...

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The value of power dissipated across the zener diode $\left(V_z=15 V\right)$ connected in the circuit as shown in the figure...

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The first three spectral lines of H -atom in the Balmer series are given $\lambda_1, \lambda_2, \lambda_3$ considering the Bohr...

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Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is...

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A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed...

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In the figure given, the electric current flowing through the $5 \mathrm{k} \Omega$ resistor is ' x ' mA .

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A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure

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27 similar drops of mercury are maintained at 10 V each. All these spherical drops combine into a single big...

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The stopping potential for electrons emitted from a photosensitive surface illuminated by light of wavelength 491 nm is 0.710 V....

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A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls...

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A particle executes S.H.M. with amplitude ' $a$ ' and time period $V$. The displacement of the particle when its...

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The truth table for the followng logic circuit is :

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The stopping potential in the context of photoelectric effect depends on the following property of incident electromagnetic radiation :

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In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two...

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An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output...

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A point source of light S , placed at a distance 60 cm infront of the centre of a plane...

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The mass per unit length of a uniform wire is 0.135 $g / \mathrm{cm}$. A transverse wave of the form...

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For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric $\left(U_e\right)$ and magnetic...

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A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second...

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The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers...

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Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on...

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A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m....

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As shown in the figure, a block of mass $\sqrt{3} \mathrm{~kg}$ is kept on a horizontal rough surface of coefficient...

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The velocity-displacement graph describing the motion of a bicycle is shown in the figure.

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If the highest frequency modulating a carrier is 5 kHz , then the number of AM broadcast stations accommodated in...

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A boy pushes a box of mass 2 kg with a force $\vec{F}=(20 \hat{i}+10 \hat{j}) \mathrm{N}$ on a frictionless surface....

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An electron with kinetic energy $K_1$ enters between parallel plates of a capacitor at an angle ' $\alpha$ ' with...

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Time period of a simple pendulum is $T$ inside a lift when the lift is stationary. If the lift moves...

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A radiation is emitted by 1000 W bulb and it generates an electric field and magnetic field at $P$, placed...

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The volume V of a given mass of monoatomic gas changes with temperature T according to the relation $...

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An unpolarized light beam is incident on the polarizer of a polarization experiment and the intensity of light beam emerging...

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If e is the electronic charge, $c$ is the speed of light in free space and $h$ is Planck's constant,...

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The circuit contains two diodes each with a forward resistance of $50 \Omega$ and with infinite reverse resistance. If the...

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A conducting wire of length 'l', area of cross-section A and electric resistivity $\rho$ is connected between the terminals of...

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A common transistor radio set requires 12V (D.C.) for its operation. The D.C. source is constructed by using a transformer...

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The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $\vec{a}, \vec{b}$ and $\vec{c}$...

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A ball will a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction...

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Four equal masses, m each are placed at the corners of a square of length (l) as shown in the...

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In an electrical circuit, a battery is connected to pass 20 C of charge through it in a certain given...

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An audio signal $v_m=20 \sin 2 \pi(1500 \mathrm{t})$ amplitude modulates a carrier $v_c=80 \sin 2 \pi(100,000 \mathrm{t})$. The value of...

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A wire of 1 W has a length of 1 m . It is stitched till its length increases by...

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In connection with the circuit drawn below, the value of current flowing through $2 \mathrm{k} \Omega$ resistor is $\_\_\_\_$ $...

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A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if...

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In thermodynamics, heat and work are :

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An electromagnetic wave of frequency 5 GHz , is travelling in a medium whose relative electric permittivity and relative magnetic...

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The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen...

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Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and...

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Given below are two statements Statement I : A second's pendulum has a time period of 1 second. Statement II...

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An inclined plane is bent in such a way that the vertical cross-section is given by $y=\frac{x^2}{4}$ where $y$ is...

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A bar magnet of length 14 cm is placed in the magnetic meridian with its north pole pointing towards the...

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A large number of water drops, each of radius r, combine to have a drop of radius R. If the...

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A hydraulic press can lift 100 kg when a mass 'm' is placed on the smaller piston. It can lift...

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The maximum and minimum distances of a comet from the Sun are $1.6 \times 10^{12} \mathrm{~m}$ and $...

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A resonance circuit having inductance and resistance $2 \times 10^{-4} \mathrm{H}$ and $6.28 \Omega$ respectively oscillates at 10 MHz frequency....

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A scooter accelerates from rest for time $t_1$ at constant rate $a_1$ and then retards at constant rate $a_2$ for...

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LED is constructed from Ga-As-P semiconducting material. The energy gap of this LED is 1.9 eV. Calculate the wavelength of...

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The coefficient of static friction between a wooden block of mass 0.5 kg and a vertical rough wall is 0.2...

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plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in space and...

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$\mathrm{Y}=\mathrm{A} \sin \left(\omega \mathrm{t}+\varphi_0\right)$ is the time-displacement equation of a SHM. At $t=0$ the displacement of the particle is $Y=\frac{A}{2}$...

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A radioactive sample is undergoing $\alpha$ decay. At any time $t_1$, its activity is A and another time $t_2$, the...

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The workdone by a gas molecule in an isolated system is given by, $\mathrm{W}=\alpha \beta^2 \mathrm{e}^{-\frac{x}{\alpha \mathrm{kT}}}$, where x is...

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Consider two satellites $S_1$ and $S_2$ with periods of revolution 1 hr . and 8 hr . respectively revolving around...

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Draw the output signal Y in the given combination of gates

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The angle of deviation through a prism is minimum when

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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A cube of side ' $a$ ' has point charges $+Q$ located at each of its vertices except at the...

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The pressure acting on a submarine is $3 \times 10^5 \mathrm{~Pa}$ at a certain depth. If the depth is doubled,...

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The temperature $\theta$ at the junction of two insulating sheets, having thermal resistances $\mathrm{R}_1$ and $\mathrm{R}_2$ as well as top...

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A cell $E_1$ of emf 6 V and internal resistance $2 \Omega$ is connected with another cell E2 of emf...

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Two masses A and B, each of mass $M$ are fixed together by a massless spring. $A$ force acts on...

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A block of mass $m$ slides along a floor while a force of magnitude $F$ is applied to it at...

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Each side of a box made of metal sheet in cubic shape is ' $a$ ' at room temperature '...

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If two similar springs each of spring constant $\mathrm{K}_1$ are joined in series, the new spring constant and time period...

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An inclined plane making an angle of $30^{\circ}$ with the horizontal is placed in a uniform horizontal electric field $...

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Match List-I with List-II :

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For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used, which...

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Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin...

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An LCR circuit contains resistance of $110 \Omega$ and a supply of 220 V at $300 \mathrm{rad} / \mathrm{s}$ angular...

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One main scale division of a vernier callipers is ' $a$ ' cm and $n$th division of the vernier scale...

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Find the peak current and resonant frequency of the following circuit

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If an emitter current is changed by 4 mA , the collector current changes by 3.5 mA . The value...

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In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter...

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The wavelength of the photon emitted by a hydrogen atom when an electron makes a transition from n = 2...

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Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the...

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Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners...

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The recoil speed of a hydrogen atom after it emits a photon in going from $n=5$ state to $n=1$ state...

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If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph ?

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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A charge q is placed at one corner of a cube as shown in figure. The flux of electrostatic field...

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Four identical particles of equal masses 1kg made to move along the circumference of a circle of radius 1 m...

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A planet revolving in elliptical orbit has : (A)a constant velocity of revolution. (B) has the least velocity when it...

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Given below are two statements : Statement I : An electric dipole is placed at the centre of a hollow...

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In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked A, B,...

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A particle is moving with uniform speed along the circumference of a circle of radius R under the action of...

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The normal density of a material is $\rho$ and its bulk modulus of elasticity is K. The magnitude of increase...

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The potential energy $(\mathrm{U})$ of a diatomic molecule is a function dependent on r (interatomic distance) as $\mathrm{U}=\frac{\alpha}{\mathrm{r}^{10}}-\frac{\beta}{\mathrm{r}^5}-3$ where, $\alpha$...

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An alternating current is given by the equation $\mathrm{i}=\mathrm{i}_1 \sin \omega \mathrm{t}+\mathrm{i}_2 \cos \omega \mathrm{t}$. The rms current will be

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If Y, K and  are the values of Young's modulus, bulk modulus and modulus of rigidity of any material...

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A coil of inductance 2H having negligible resistance is connected to a source of supply whose voltage is given by...

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Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see...

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512 identical drops of mercury are charged to a potential of 2V each. The drops are joined to form a...

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Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's...

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The same size images are formed by a convex lens when the object is placed at 20cm or at 10cm...

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A cord is wound round the circumference of wheel of radius $r$. The axis of the wheel is horizontal and...

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In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to...

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Q MEMORY BASED QUESTION JEE MAIN 2026

Two capilaries are dipped in two different liquids having meniscus radius $R_1, R_2\left(R_1>R_2\right)$ and surface Tension $\mathrm{T}_1 \& \mathrm{~T}_2$. If...

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A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length...

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Given below are two statements : Statement-I : Two photons having equal linear momenta have equal wavelengths. Statement-II : If...

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Q MEMORY BASED QUESTION JEE MAIN 2026

For YDSE experiment, for angular fringe width : Statement-1 :- If distance between slits and screen increases then width increases....

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If $\lambda_1$ and $\lambda_2$are the wavelengths of the third member of Lyman and first member of the Paschen series respectively,...

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An aeroplane, with its wings spread 10 m , is flying at a speed of $180 \mathrm{~km} / \mathrm{h}$ in...

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Q MEMORY BASED QUESTION JEE MAIN 2026

Refractive index of prism is $\sqrt{2}$. What should be angle of incidence for a light ray such that the emerging...

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In a typical combustion engine the work done by a gas molecule is given $\mathrm{W}=\alpha^2 \beta e^{\frac{-\beta \mathrm{x}^2}{\mathrm{kT}}}$ where x...

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The length of metallic wire is $\ell_1$ when tension in it is $T_1$. It is $\ell_2$ when the tension is...

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A current through a wire depends on time as $\mathrm{i}=\alpha_0 t +\beta t^2$ where $\alpha_0=20 \mathrm{~A} / \mathrm{s}$ and $...

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Two stars of masses m and 2m at a distance d rotate about their common centre of mass in free...

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Consider the combination of 2 capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$,, with $C_2>C_1$,, when connected in parallel, the equivalent capacitance is $\frac{15}{4}$...

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In a Young's double slit experiment, the width of the one of the slit is three times the other slit....

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Q JEE MAIN 2021

1. If $C$ and $V$ represent capacity and voltage respectively then what are the dimensions of $\lambda$, where $\frac{\mathrm{C}}{\mathrm{V}}=\lambda$ ?

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Q JEE MAIN 2021

The focal length f is related to the radius of curvature r of the spherical convex mirror by:

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n mole a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.

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Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of...

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Two cars are approaching each other at an equal speed of 7.2 km/hr. When they see each other, both blow...

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A series LCR circuit is designed to resonate at an angular frequency $\omega_0=10^5 \mathrm{rad} / \mathrm{s}$. The circuit draws 16...

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In the given circuit of potentiometer, the potential difference $E$ across $A B(10 m$ length $)$ is larger than $E_1$...

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A signal of 0.1 kW is transmitted in a cable. The attenuation of cable is -5 dB per km and...

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A small bob tied at one end of a thin string of length 1 m is describing a vertical circle...

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A point charge of $+12 \mu \mathrm{C}$ is at a distance 6 cm vertically above the centre of a square...

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In a certain thermodynamical process, the pressure of a gas depends on its volume as $\mathrm{kV}^3$. The work done when...

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The root mean square speed of molecules of a given mass of a gas at $27^{\circ} \mathrm{C}$ and 1 atmosphere...

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The electric field in a region is given $\vec{E}=\left(\frac{3}{5} E_0 \hat{i}+\frac{4}{5} E_0 \hat{j}\right) \frac{N}{C}$. The ratio of flux of reported...

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Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The...

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A transmitting station releases waves of wavelength 960 m . A capacitor of $2.56 \mu \mathrm{~F}$ is used in the...

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Two coherent light sources having intensity in the ratio 2x produce an interference pattern. The ratio $...

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A uniform thin bar of mass 6 kg and length 2.4 meter is bent to make an equilateral hexagon. The...

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The current (i) at time $t=0$ and $t=\infty$ respectively for the given circuit is

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A cylindrical wire of radius 0.5 mm and conductivity $5 \times 10^7 \mathrm{~S} / \mathrm{m}$ is subjected to an electric...

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A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its...

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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A body weighs 49 N on a spring balance at the north pole. What will be its weight recorded on...

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Given below are two statements : Statement I : In a diatomic molecule, the rotational energy at a given temperature...

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In an octagon ABCDEFGH of equal side, what is the sum of $\overrightarrow{\mathrm{AB}}+\overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{AD}}+\overrightarrow{\mathrm{AE}}+\overrightarrow{\mathrm{AF}}+\overrightarrow{\mathrm{AG}}+\overrightarrow{\mathrm{AH}}$ if, $\overrightarrow{A O}=2 \hat{i}+3 \hat{j}-4 \hat{k}$

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A particle is projected with velocity $v_0$ along $x$-axis. A damping force is acting on the particle which is proportional...

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Two radioactive substances $X$ and $Y$ originally have $N_1$ and $N_2$ nuclei respectively. Half life of $X$ is half of...

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Match List - I with List - II. Choose the correct answer from the options given below :

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A stone is dropped from the top of a building. When it crosses a point 5 m below the top,...

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A solid sphere of radius $R$ gravitationally attracts a particle placed at $3 R$ form its centre with a force...

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Zener breakdown occurs in a p-n junction having p and n both :

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Magnetic fields at two points on the axis of a circular coil at a distance of 0.05m and 0.2 m...

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A circular hole of radius $\left(\frac{a}{2}\right)$ is cut out of a circular disc of radius ' $a$ ' as shown...

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Thermodynamic process is shown below on a P-V diagram for one mole of an ideal gas. If $\mathrm{V}_2=2 \mathrm{~V}_1$ then...

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Match List – I with List – II List – I (a) h (Planck's constant) (b) E (kinetic energy) (c)...

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If the source of light used in a Young's double slit experiment is changed from red to violet :

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An engine of a train, moving with uniform acceleration, passes the signal-post with velocity u and the last compartment with...

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According to Bohr atom model, in which of the following transitions will the frequency be maximum ?

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Which of the following equations represents a travelling wave ?

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A diatomic gas, having $C_p=\frac{7}{2} R$ and $C_v=\frac{5}{2} R$ is heated at constant pressure. The ratio dU : dQ :...

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An X-ray tube is operated at 1.24 million volt. The shortest wavelength of the produced photon will be:

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The length of metallic wire is $\ell_1$ when tension in it is $T_1$. It is $\ell_2$ when the tension is...

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In a ferromagnetic material, below the curie temperature, a domain is defined as :

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An $\alpha$ particle and a proton are accelerated from rest by a potential difference of 200 V . After this,...

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If one mole of an ideal gas at $\left(P_1, V_1\right)$ is allowed to expand reversibly and isothermally (A to B)...

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A 5 V battery is connected across the points $X$ and $Y$. Assume $D_1$ and $D_2$ to be normal silicon...

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The de Broglie wavelength of a proton and a-particle are equal. The ratio of their velocities is :

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The pitch of the screw gauge is 1mm and there are 100 divisions on the circular scale. When nothing is...

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If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $\lambda$, where $\frac{C}{V}=\lambda$ ?

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For extrinsic semiconductors; when doping level is increased;

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Figure shows a circuit that contains four identical resistors with resistance $\mathrm{R}=2.0 \Omega$, two identical inductors with inductance $\mathrm{L}=2.0 \mathrm{mH}$...

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If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the...

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Given below are two statement : Statement-I: A speech signal of 2 kHz is used to modulate a carrier signal...

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In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane....

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A proton, a deuteron and an  particle are moving with same momentum in a uniform magnetic field. The ratio...

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Given below are two statements : Statement I : PN junction diodes can be used to function as transistor, simply...

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The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. The components connected are shown in the...

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The period of oscillation of a simple pendulum is $\mathrm{T}=2 \pi \sqrt{\frac{\mathrm{~L}}{\mathrm{~g}}}$. Measured value of ' L ' is 1.0...

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Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of...

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The logic circuit shown above is equivalent to :

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A soft ferromagnetic material is placed in an external magnetic field. The magnetic domains :

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A student is performing the experiment of resonance column. The diameter of the column tube is 6 cm. The frequency...

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On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :

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Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R....

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Two electrons each are fixed at a distance '2d'. A third charge proton placed at the midpoint is displaced slightly...

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When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

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A car covers $A B$ distance with first one-third at velocity $\mathrm{v}_1 \mathrm{~ms}^{-1}$, second one-third at $\mathrm{v}_2 \mathrm{~ms}^{-1}$ and last...

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A uniform disc with mass $M=4 \mathrm{~kg}$ and radius $R=10 \mathrm{~cm}$ is mounted on a fixed horizontal axle as shown...

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A liquid of density $750 \mathrm{kgm}^{-3}$ flows smoothly through a horizontal pipe that tapers in cross-sectional area from $...

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A tuning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm...

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In the given circuit, the magnitude of $V_L$ and $V_C$ are twice that of $V_R$. Given that $f =50 \mathrm{~Hz}$,...

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A capacitor $\mathrm{C}_1$ of capacitance $5 \mu \mathrm{~F}$ is charged to a potential of 30 V using a battery. The...

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" All resistances in figure are "1Omega" each. The value of current ' "l" ' is "(a)/(5)A". The value of...

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In a Youngs double slit experiment, an angular width of the fringe is $0.35^{\circ}$ on a screen placed at 2...

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A Zener of breakdown voltage $\mathrm{V}_{\mathrm{Z}}=8 \mathrm{~V}$ and maximum zener current, $\mathrm{I}_{\mathrm{ZM}}=10 \mathrm{~mA}$ is subjected to an input voltage $...

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A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm , $...

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Amplitude modulated wave is represented by $V_{R M}=10\left[1+0.4 \cos \left(2 \pi \times 10^4 t\right)\right] \cos \left(2 \pi \times 10^7 t\right)$....

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In the given circuit the input voltage $\mathrm{V}_{\text {in }}$ is shown in figure. The cut-in voltage of $\mathrm{p}-\mathrm{n}$ junction...

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Following statements related to radioactivity are given below: (A) Radioactivity is a random and spontaneous process and is dependent on...

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Let $K_1$ and $K_2$ be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength $\lambda_1$ and...

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In young's double slit experiment performed using a monochromatic light of wavelength $\lambda$, when a glass plate ( $\mu=1.5$ )...

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An EM wave propagating in $x$-direction has a wavelength of 8 mm . The electric field vibrating $y$-direction has maximum...

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A coil is placed in a time varying magnetic field. If the number of turns in the coil were to...

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Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of xA in the same direction....

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The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to $...

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Q MEMORY BASED QUESTION 2026

Find the heat produced in external circuit (A B) in one second.

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Q MEMORY BASED QUESTION 2026

Find dimension of $\frac{A}{B}$ if $\left(P+\frac{A t^2}{B}\right)+\frac{1}{2} \rho V^2 =$ constant, where $\mathbf{P} \rightarrow$ pressure, $\rho \rightarrow$ density, $\mathbf{V}$ →...

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Q MEMORY BASED QUESTION 2026

Which logic gate is given in the figure?

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Q MEMORY BASED QUESTION 2026

A rod of mass $m$ and length l is attached to two ideal strings. Find tension in left string just...

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Resistance of the wire is measured as $2 \Omega$ and $3 \Omega$ at $10^{\circ} \mathrm{C}$ and $30^{\circ} \mathrm{C}$ respectively. Temperature...

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Two point charges $A$ and $B$ of magnitude $+8 \times 10^{-6} \mathrm{C}$ and $-8 \times 10^{-6} \mathrm{C}$ respectively are placed...

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What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and...

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A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40...

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A capacitor of capacitance 500 $\mu \mathrm{F}$is charged completely using a dc supply of 100 V. It is now connected...

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Two radioactive materials A and B have decay constants $25 \lambda$ and $16 \lambda$ respectively. If initially they have the...

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A 8 V Zener diode along with a series resistance R is connected across a 20 V supply (as shown...

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The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is 10 s....

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The speed of a transverse wave passing through a string of length 50 cm and mass 10 g is$60 \mathrm{~ms}^{-1}$....

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In an experiment to find acceleration due to gravity ( g ) using simple pendulum, time period of 0.5 s...

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In an experiment with a convex lens. The plot of the image distance ( $v^{\prime}$ ) against the object distance...

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A modulating signal 2sin $\left(6.28 \times 10^6\right) \mathrm{t}$ is added to the carrier signal 4sin $\left(12.56 \times 10^9\right)$ t for...

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An object ‘o’ is placed at a distance of 100 cm in front of a concave mirror of radius of...

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For the given circuit the current through battery of 6V just after closing the switch ‘S’ will be ……….A.

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The velocity of a small ball of mass 0.3 g and density 8 g/cc when dropped in a container filled...

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A metal wire of length 0.5 m and cross-sectional area $10^{-4} \mathrm{~m}^2$ has breaking stress $5 \times 10^8 \mathrm{Nm}^{-2}$. A...

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Nearly 10% of the power of a 110 W light bulb is converted to visible radiation. The change in average...

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Magnetic flux (in weber) in a closed circuit of resistance $20 \Omega$ varies with time $t(s)$ as $\phi=8 t^2-9 t+5$....

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A tube of length 50 cm is filled completely with an incompressible liquid of mass 250 g and closed at...

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A convex lens of focal length 20 cm is placed in front of convex mirror with principal axis coinciding each...

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Light enters from air into a given medium at an angle of 45º with interface of the air-medium surface. After...

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Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference...

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The root mean square speed of smoke particles of mass $5 \times 10^{-17}$ kg their Brownian motion in air at...

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Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant...

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In a potentiometer arrangement, a cell of emf 1.20 V gives a balance point at 36 cm length of wire....

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$\frac{x}{x+4}$ is the ratio of energies of photons produced due to transition of an electron of hydrogen atom from its...

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A block of ice of mass 120 g at temperature 0°C is put in 300 gm of water at 25°C....

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Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular...

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The vertical component of the earth’s magnetic field is$6 \times 10^{-5} T$ at any place where the angle of dip...

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A particle is moving in a straight line such that its velocity is increasing at $5 \mathrm{~ms}^{-1}$ per meter. The...

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Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength $\lambda$. The value of principal...

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A thermodynamic system is taken from an original state D to an intermediate state E by the linear process shown...

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If the potential barrier across a p-n junction is 0.6 V . Then the electric field intensity, in the depletion...

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The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are...

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A ball is projected from the ground with a speed $15 \mathrm{~ms}^{-1}$ at an angle $\theta$ with horizontal so that...

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The $X-Y$ plane be taken as the boundary between two transparent media $M_1$ and $M_2 . M_1$ in $...

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A wire of length 314 cm carrying current of 14 A is bent to form a circle. The magnetic moment...

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A bad of sand of mass 9.8 kg is suspended by a rope. A bullet of 200 g travelling with...

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The torque of a force $5 \hat{i}+3 \hat{j}-7 \hat{k}$ about the origin is $\tau$. If the force acts on a...

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Two light beams of intensities 41 and 91 interfere on a screen. The phase difference between these beams on the...

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An object is taken to a height above the surface of earth at a distance $\frac{5}{4} R$ from the centre...

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Let $\eta_1$ is the efficiency of an engine at $T_1=447^{\circ} \mathrm{C}$ and $T_2=147^{\circ} \mathrm{C}$ while $\eta_2$ is the efficiency at...

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If momentum of a body is increased by 20%, then its kinetic energy increases by :

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The current I flowing through the given circuit will be ________A.

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Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas...

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One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of...

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The length of a seconds pendulum at a height h = 2R from earth surface will be: (Given: $R=$ Radius...

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The pressure $\mathrm{P}_1$ and density $\mathrm{d}_1$ of diatomic gas $\left(\gamma=\frac{7}{5}\right)$ changes suddenly to $\mathrm{P}_2\left(>\mathrm{P}_1\right)$ and $\mathrm{d}_2$ respectively during an adiabatic...

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A current of 15 mA flows in the circuit as shown in figure. The value of potential difference between the...

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If the acceleration due to gravity experienced by a point mass at a height $h$ above the surface of earth...

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An electron with energy 0.1 keV moves at right angle to the earth's magnetic field of $1 \times 10^{-4} \mathrm{Wbm}^{-2}$....

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An object is projected in the air with initial velocity u at an angle $\theta$. The projectile motion is such...

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An electrical bulb rated 220 V, 100 W, is connected in series with another bulb rated 220V, 60 W. If...

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The potential energy of a particle of mass 4 kg in motion along the $x$-axis is given by $...

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At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of...

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A string of area of cross-section $4 \mathrm{~mm}^2$ and length 0.5 is connected with a rigid body of mass 2...

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The distance of centre of mass from end $A$ of a one dimensional rod (AB) having mass density $...

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Two lighter nuclei combine to form a comparatively heavier nucleus by the relation given below: $$ { }_1^2 \mathrm{X}+{ }_1^2...

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A ball is thrown vertically upwards with a velocity of $19.6 \mathrm{~ms}^{-1}$ from the top of a tower. The ball...

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A FM Broad cast transmitter, using modulating signal of frequency 20 kHz has a deviation ratio of 10. The Bandwidth...

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Two bodies of masses $\mathrm{m}_1=5 \mathrm{~kg}$ and $\mathrm{m}_2=3 \mathrm{~kg}$ are connected by a light string going over a smooth light...

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An n.p.n transistor with current gain $\beta=100$ in common emitter configuration is shown in figure. The output voltage of the...

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Four identical discs each of mass ' $M$ ' and diameter ' $a$ ' are arranged in a small plane...

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A radioactive sample decays $\frac{7}{4}$ times its original quantity in 15 minutes. The half-life of the sample is

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A ball is released from a height $h$. If $t_1$ and $t_2$ be the time required to complete first half...

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A block of mass m (as shown in figure) moving with kinetic energy E compresses a spring through a distance...

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Two streams of photons, possessing energies to five and ten times the work function of metal are incident on the...

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An object of mass 1 kg is taken to a height from the surface of earth which is equal to...

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The power of a lens (biconvex) is $1.25 \mathrm{~m}^{-1}$ in particular medium. Refractive index of the lens is 1.5 and...

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The diameter of an air bubble which was initially 2 mm , rises steadily through a solution of density $...

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In the given figure, the face $A C$ of the equilateral prism is immersed in a liquid of refractive index...

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Sun light falls normally on a surface of area $36 \mathrm{~cm}^2$ and exerts an average force of $...

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The frequency of echo will be _______ Hz if the train blowing a whistle of frequency 320 Hz is moving...

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Read the following statements : (A) Volume of the nucleus is directly proportional to the mass number. (B) volume o...

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Which statements are correct about degrees of freedom? A. A molecule with n degrees of freedom has $\mathrm{n}^2$ different ways...

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The radius of gyration of a cylindrical rod about an axis of rotation perpendicular to its length and passing through...

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Two electric dipoles of dipole moments $1.2 \times 10^{-30} \mathrm{~cm}$ and $2.4 \times 10^{-30} \mathrm{~cm}$ are placed in two difference...

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An $\alpha$ particle and a proton are accelerated from rest through the same potential difference. The ratio of linear momenta...

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As shown in the figure, a potentiometer wire of resistance $20 \Omega$ and length 300 cm is connected with resistance...

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If $\vec{A}=(2 \hat{i}+3 \hat{j}-\hat{k}) \mathrm{m}$ and $\vec{B}=(\hat{i}+2 \hat{j}+2 \hat{k}) \mathrm{m}$. The magnitude of component of vector $\vec{A}$ along vector $\vec{B}$...

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The magnetic field at the center of current carrying circular loop is $\mathrm{B}_1$. The magnetic field at a distance of...

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In $1^{\text {st }}$ case, Carnot engine operates between temperatures 300 K and 100 K. In $2^{\text {nd }}$ case,...

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An unpolarised light beam of intensity 2I0 is passed through a polaroid P and then through another polaroid Q which...

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The frequencies at which the current amplitude in an LCR series circuit becomes $\frac{1}{\sqrt{2}}$ times its maximum value, are $...

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The area of cross section of the rope used to lift a load by a crane is $...

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A triangular shaped wire carrying 10A current is placed in a uniform magnetic field of 0.5T, as shown in figure....

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In a Young’s double slit experiment, a laser light of 560 nm produces an interference pattern with consecutive bright fringes...

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A circuit element X when connected to an a.c. supply of peak voltage 100 V gives a peak current of...

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A steel wire of length 3.2 m $\left(\mathrm{Y}_{\mathrm{s}}=2.0 \times 10^{11} \mathrm{Nm}^{-2}\right)$ and a copper wire of length 4.4 M $...

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Given below are two statements : Statement I: A uniform wire of resistance $80 \Omega$ is cut into four equal...

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Mass numbers of two nuclei are in the ratio of $4: 3$. Their nuclear densities will be in the ratio...

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A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible...

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A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position,...

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If the projection of $2 \hat{i}+4 \hat{j}-2 \hat{k}$ on $\hat{i}+2 \hat{j}+\alpha \hat{k}$ is zero. Then, the value of $\alpha$ will...

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In an experiment to find out the diameter of wire using screw gauge, the following observation were noted :

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A uniform electric field E = (8 m/e) V/m is created between two parallel plates of length 1m as shown...

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A body of mass m is projected with velocity $\lambda V_e$ in vertically upward direction from the surface of the...

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A wire X of length 50 cm carrying a current of 2 A is placed parallel to a long wire...

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In the case of amplitude modulation to avoid distortion the modulation index $(\mu)$ should be ${ }_{\text {in }}$

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Two masses $M_1$ and $M_2$ are tied together at the two ends of a light inextensible string that passes over...

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A slab of dielectric constant $K$ has the same cross-sectional area as the plates of a parallel plate capacitor and...

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A 1 m long wire is broken into two unequal parts X and Y The X part of the wire...

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Identify the solar cell characteristics from the following options :

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Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R....

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A velocity selector consists of electric field $\vec{E}=E \hat{k}$ and magnetic field $\vec{B}=B \hat{j}$ with $B=12 m T$. The value...

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A vessel contains 14 g of nitrogen gas at a temperature of $27^{\circ} \mathrm{C}$. The amount of heat to be...

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Two identical thin metal plates has charge $\mathrm{q}_1$ and $\mathrm{q}_2$ respectively such that $q_1>q_2$. The plates were brought close to...

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The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet...

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The half life period of a radioactive substance is 60 days. The time taken for $\frac{7}{8}$ th of its original...

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Consider a cylindrical tank of radius 1 m is filled with water. The top surface of water is at 15...

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Match List I with List II. Choose the correct answer from the options given below :

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The equation $\lambda=\frac{1.227}{\mathrm{x}} \mathrm{nm}$ can be used to find the de-Brogli wavelength of an electron. In this equation x stands...

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Two concentric circular loops of radii $r_1=30 \mathrm{~cm}$ and $r_2=50 \mathrm{~cm}$ are placed in $X-Y$ plane as shown in the...

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A block ‘A’ takes 2 s to slide down a frictionless incline of $30^{\circ}$ and length ‘l’ kept inside a...

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Assume there are two identical simple pendulum Clocks-1 is placed on the earth and Clock-2 is placed on a space...

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In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30 cm. The focal length...

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A bullet of mass 200 g having initial kinetic energy 90 J is shot inside a long swimming pool as...

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Two identical metallic spheres A and B when placed at certain distance in air repel each other with a force...

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A travelling microscope has 20 divisions per cm on the main scale while its Vernier scale has total 50 divisions...

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A source of potential difference V is connected to the combination of two identical capacitors as shown in the figure....

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A uniform metal chain of mass $m$ and length ' $L$ ' passes over a massless and frictionless pulley. It...

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A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the...

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As shown in the figure, after passing through the medium 1 . The speed of light $v_2$ in medium 2...

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A pressure-pump has a horizontal tube of cross-sectional area $10 \mathrm{~cm}^2$ for the outflow of water at a speed of...

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In the circuit shown below, maximum zener diode current will be ____mA

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A battery of 6 V is connected to the circuit as shown below. The current I drawn from the battery...

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A body of mass 10 kg is projected at an angle of $45^{\circ}$ with the horizontal. The trajectory of the...

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At time $t=0$ a particle starts travelling from a height $7 \hat{z} \mathrm{~cm}$ in a plane keeping z coordinate constant....

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The equation of current in a purely inductive circuit is $5 \sin \left(49 \pi t-30^{\circ}\right)$. If the inductance is 30...

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Find the modulation index of an AM wave having 8V variation where maximum amplitude of the AM wave is 9...

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Consider the efficiency of Carnot's engine is given by $\eta=\frac{\alpha \beta}{\sin \theta} \log _{\mathrm{e}} \frac{\beta \mathrm{x}}{\mathrm{kT}}$, where $\alpha$ and $\beta$...

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A transverse wave is represented by $y=2 \sin (\omega t-k x) c m$. The value of wavelength (in $c m$...

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In a hydrogen spectrum, $\lambda$ be the wavelength of first transition line of Lyman series. The wavelength difference will be...

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Find the ratio of energies of photons produced due to transition of an election of hydrogen atoms from its (i)...

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A ball of mass m is thrown vertically upward. another ball of mass 2 m is thrown an angle ...

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A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to the specific...

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As shown in the figure, a metallic rod of linear density $0.45 \mathrm{~kg} \mathrm{~m}^{-1}$ is lying horizontally on a smooth...

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The graph between $\frac{1}{u}$ and $\frac{1}{v}$ for a thin convex lens in order to determine its focal length is plotted...

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A pulley of radius 1.5 m is rotated about its axis by a force $\mathrm{F}=\left(12 \mathrm{t}-3 \mathrm{t}^2\right) \mathrm{N}$ applied tangentially...

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The required height of a TV tower which can cover the population of 6.03 lakh is h. If the average...

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The kinetic energy of emitted electron is E when the light incident on the metal has wavelength $\lambda$. To double...

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A square aluminium (shear modulus is $25 \times 10^9 \mathrm{Nm}^{-2}$ ) slab of side 60 cm and thickness 15 cm...

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29. The energy band gap of semiconducting material to produce violet (wavelength = 4000 Å) LED is _____ eV. (Round...

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An ice cube of dimensions $60 \mathrm{~cm} \times 50 \mathrm{~cm} \times 20 \mathrm{~cm}$ is placed in an insulation box of...

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The current sensitivity of a galvanometer can be increased by : (A) decreasing the number of turns (B) increasing the...

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Eight copper wire of length l and diameter d are joined in parallel to form a single composite conductor of...

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The effective current I in the given circuit at very high frequencies will be ____A.

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Match List – I with List –II Choose the correct answer from the options given below :

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A mass 0.9 kg , attached to a horizontal spring, executes SHM with an amplitude $\mathrm{A}_1$. When this mass passes...

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In the given figure, the value of $V_0$ will be $\_\_\_\_$ V.

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A wire of resistance R1 is drawn out so that its length is increased by twice of its original length....

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An expression of energy density is given by $\mathrm{u}=\frac{\alpha}{\beta} \sin \left(\frac{\alpha \mathrm{x}}{\mathrm{kt}}\right)$ , where $\alpha, \beta$ are constants, x is...

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A long cylindrical volume contains a uniformly distributed charge of density $\rho \mathrm{Cm}^{-3}$. The electric field inside the cylindrical volume...

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Resistance are connected in a meter bridge circuit as shown in the figure. The balancing length $\mathrm{l}_1$ is 40cm. Now...

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A 1 m long copper wire carries a current of 1 A . If the cross section of the wire...

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A nucleus of mass $M$ at rest splits into two parts having masses $\frac{M^{\prime}}{3}$ and $\frac{2 M^{\prime}}{3}\left(M^{\prime}

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Two capacitors, each having capacitance $40 \mu \mathrm{~F}$ are connected in series. The space between one of the capacitors is...

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To light, a $50 \mathrm{~W}, 100 \mathrm{~V}$ lamp is connected, in series with a capacitor of capacitance $...

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The volume charge density of a sphere of radius 6 m is $2 \mu \mathrm{C} \mathrm{cm}^{-3}$. The number of lines...

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A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $\left(\mathrm{t}_1\right.$ and $\left.\mathrm{t}_2\right)$ as...

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The maximum and minimum voltage of an amplitude modulated signal are 60 V and 20 V respectively. The percentage modulation...

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An observer is riding on a bicycle and moving towards a hill at $18 \mathrm{kmh}^{-1}$. He hears a sound from...

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In the wave equation $y=0.5 \sin \frac{2 \pi}{\lambda}(400 t-x) m$ the velocity of the wave will be

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A body is projected vertically upwards from the surface of earth with a velocity equal to one third of escape...

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When a car is approaching the observer, the frequency of horn is 100 Hz. After passing the observer, it is...

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A unit scale is to be prepared whose length does not change with temperature and remains 20 cm , using...

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In an experiment of determine the Young’s modulus of wire of a length exactly 1m, the extension in the length...

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Light travels in two media $M_1$ and $M_2$ with speeds $1.5 \times 108 \mathrm{~ms}^{-1}$ and $2.0 \times 10^8 \mathrm{~ms}^{-1}$ respectively....

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Given below are two statements : Statement I : The average momentum of a molecule in a sample of an...

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A coil of inductance 1 H and resistance $100 \Omega$ is connected to a battery of 6 v . Determine...

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A disc of mass 1 kg and radius R is free of rotate about a horizontal axis passing through its...

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A wire of length L and radius r is clamped rigidly at one end. When the other end of the...

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Two beam of light having intensities 1 and 41 interfere to produce a fringe pattern on a screen. The phase...

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The oscillating magnetic field in a plane electromagnetic wave is given by $...

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The one division of main scale of vernier calipers reads 1mm and 10 division of Vernier scale is equal to...

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An alternating emf $E=440 \sin 100 \pi t$ is applited to a circuit containing an inductance of $\frac{\sqrt{2}}{\pi} H$. If...

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In meter bridge experiment for measuring unknown resistance ' S ', the null point is obtained at a distance 30...

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Two metallic wires of identical dimensions are connected is series. If $\sigma_1$ and $\sigma_2$ are the conductivities of the these...

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A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio...

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At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height...

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Given below are two statements. Statement I : Electric potential is constant within and at the surface of each conductor....

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If the initial velocity in horizontal direction of a projectile is unit vector $\hat{\mathrm{i}}$ and the equation of trajectory is...

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A logic gate circuit has two inputs A and B and output Y. The voltage waveforms of A, B and...

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A Carnot engine has efficiency of 50%. If the temperature of sink is reduced by 40ºC, its efficiency increases by...

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A ball of mass 0.15 kg hits the wall with its initial speed of $12 \mathrm{~ms}^{-1}$ and bounces back without...

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A screw gauge of pitch 0.5mm is used to measure the diameter of uniform wire of length 6.8cm, the main...

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Four forces are acting at a point $P$ in equilibrium as shown in figure. The ratio of force $F_1$ to...

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The force required to stretch a wire of cross-section $1 \mathrm{~cm}^2$ to double its length will be.i(Given Youg's modulus of...

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What is the half-life period of a radioactive material if its activity drops to $1 / 16^{\text {th }}$ of...

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A spherically symmetric charge distribution is considered with charge density varying as

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A car is moving with speed of 150 km/h and after applying the brake it will move 27 m before...

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An electron (mass $m$ ) with an initial velocity $\vec{v}=v_0 \hat{i}\left(v_0>0\right)$ is moving in an electric field $\vec{E}=-E_0 \hat{i}\left(E_0>0\right)$ where...

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Two projectile thrown at 30º and 45º with the horizontal respectively, reach the maximum height in same time. The ratio...

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In a Vernier Calipers. 10 divisions of Vernier scale is equal to the 9 divisions of main scale. When both...

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In the circuit, the logical value of A = 1 or B = 1 when potential at A or B...

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If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the...

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The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which...

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A monkey of mass 50kg climbs on a rope which can withstand the tension (T) of 350N. If monkey initially...

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Two projectiles are thrown with same initial velocity making an angle of $45^{\circ}$ and $30^{\circ}$ with the horizontal respectively. The...

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A balloon has mass of 10 g in air. The air escapes from the balloon at a uniform rate with...

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The magnetic moment of an electron (e) revolving in an orbit around nucleus with an orbital angular momentum is given...

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The momentum of an electron revolving in $\mathrm{n}^{\text {th }}$ orbit is given by :

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As per the given figure, two blocks each of mass 250g are connected to a spring of spring constant $...

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In two different experiments, an object of mass 5 kg moving with a speed of $25 \mathrm{~ms}^{-1}$ hits two different...

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A metal exposed to light of wavelength 800 nm and emits photoelectrons with a certain kinetic energy. The maximum kinetic...

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The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface...

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Time taken by light to travel in two different materials $A$ and $B$ of refractive indices $\mu_A$ and $\mu_B$ of...

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If the length of a wire is made double and radius is halved of its respective values. Then, the Young’s...

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A NCC parade is going at a uniform speed of $9 \mathrm{~km} / \mathrm{h}$ under a mango tree on which...

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A water drop of radius 1cm is broken into 729 equal droplets. If surface tension of water is 75 dyne/cm,...

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Which of the following statement is correct ?

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The ratio of wavelengths of proton and deuteron accelerated by potential $V_p$ and $V_d$ is $1: \sqrt{2}$. Then, the ratio...

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A microscope was initially placed in air (refractive index 1). It is then immersed in oil (refractive index 2). For...

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Given below are two statements : One is labelled as Assertion (A) and the other is labelled as Reason (R)....

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A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The...

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Capacitance of an isolated conducting sphere of radius $R_1$ becomes $n$ times when it is enclosed by a concentric conducting...

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The rms value of conduction current in a parallel plate capacitor is $6.9 \mu \mathrm{~A}$. The capacity of this capacitor,...

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The dimension of $\left(\frac{B^2}{\mu_0}\right)$ will be : (if $\mu_0$; permeability of free space and $B$ : magnetic field)

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7 mole of certain monoatomic ideal gas undergoes a temperature increase of 40K at constant pressure. The increase in the...

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A small square loop of wire of side l is placed inside a large square loop of wire L (L...

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A beam of light travelling along $X$-axis is described by the electric field $E_y=900 \sin \omega(t-x / c)$. The ratio...

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For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions....

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A direct current of 4 A and an alternating current of peak value 4A flow through resistance of $3 \Omega$...

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When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be :

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To increase the resonant frequency in series LCR circuit,

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Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms–1 collide and rebound with the...

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A magnet hung at $45^{\circ}$ with magnetic meridian makes an angle of $60^{\circ}$ with the horizontal. The actual value of...

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Two bodies of mass 1 kg and 3 kg have position vectors $\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $-3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$ respectively. The...

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Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction...

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The total charge on the system of capacitance $\mathrm{C}_1=1 \mu \mathrm{~F}, \mathrm{C}_2=2 \mu \mathrm{~F}, \mathrm{C}_3=4 \mu \mathrm{~F}$ and $...

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Two bar magnets oscillate in a horizontal plane in earth’s magnetic field with time periods of 3 s and 4...

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A drop of liquid of density $\rho$ is floating half immersed in a liquid of density $\sigma$ and surface tension...

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A condenser of $2 \mu \mathrm{~F}$ capacitance is charged steadily from 0 to 5C. Which of the following graph represents...

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A ball is projected with kinetic energy E, at an angle of 60º to the horizontal. The kinetic energy of...

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Two sources of equal emfs are connected in series. This combination is connected to an external resistance $R$. The internal...

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The electric current in a circular coil of 2 turns produces a magnetic induction $B_1$ at its centre. The coil...

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The current I in the given circuit will be :

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Two identical positive charges $Q$ each are fixed at a distance of '2a' apart from each other. Another point charge...

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A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against...

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Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the...

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$B_X$ and $B_Y$ are the magnetic field at the centre of two coils of two coils X and Y respectively,...

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Read the following statements; A. When small temperature difference between a liquid and its surrounding is doubled the rate of...

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If $t=\sqrt{x}+4$, then $\left(\frac{d x}{d t}\right)_{t-4}$

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A charge particle is moving in a uniform magnetic field $(2 \hat{i}+3 \hat{j}) T$ . If it has an acceleration...

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If $K_1$ and $K_2$ are the thermal conductivities $L_1$ and $L_2$ are the lengths and $A_1$ and $A_2$ are the...

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In a series LR circuit $X_L=R$ and power factor of the circuit is $\mathrm{P}_1$. When capacitor with capacitance C such...

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A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height $h$. Find the...

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Two satellites A and B having masses in the ratio 4 : 3 are revolving in circular orbits of radii...

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The magnetic field of a plane electromagnetic wave is given by $...

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Given below are two statements : One is labeled as Assertion (A) and other is labeled as Reason (R). Assertion...

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Two cylindrical vessels of equal cross=sectional area $16 \mathrm{~cm}^2$ contain water upto heights 100 cm and 150 cm respectively. The...

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In young’s double slit experiment, the fringe width is 12 mm. If the entire arrangement is placed in water of...

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In figure (A), mass ' 2 m ' is fixed on mass ' m ' which is attached to two...

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A bag is gently dropped on a conveyor belt moving at a speed of 2 m/s. The coefficient of friction...

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A parallel beam of light of wavelength 900 nm and intensity 100 $\mathrm{Wm}^{-2}$ is incident on a surface perpendicular to...

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Sand is being dropped from a stationary dropper at a rate of $0.5 \mathrm{kgs}^{-1}$ on a conveyor belt moving with...

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Following statements are given : (1) The average kinetic energy of a gas molecule decreases when the temperature is reduced....

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The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes later, the...

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A certain amount of gas of volume V at $27^{\circ} \mathrm{C}$ temperature and pressure $2 \times 10^7 \mathrm{Nm}^{-2}$ expands isothermally...

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A bullet is shot vertically downwards with an initial velocity of 100 m/s from a certain height. Within 10 s,...

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A radio can tune to any station in 6 MHz to 10 MHz band. the value of corresponding wavelength bandwidth...

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Three identical particle A, B and C of mass 100 kg each are placed in a straight line with AB...

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Three masses M = 100 kg, m1 = 10 kg and m2 = 20 kg are arranged in a system...

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A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the...

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A solid cylinder and a solid sphere, having same mass M and radius R, roll down the same inclined plane...

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A body of mass 0.5 kg travels on straight line path with velocity $\mathrm{v}=\left(3 x^2+4\right) \mathrm{m} / \mathrm{s}$. The net...

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A person moved from A to B on a circular path as shown in figure. If the distance travelled by...

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Which of the following physical quantities have the same dimensions ?

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If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of...

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Two objects of equal masses placed at certain distance from each other attracts each other with a force of F....

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Water fall from a 40 m high dam at the rate of $9 \times 10^4 \mathrm{~kg}$ per hour. Fifty percentage...

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An inductor of $0.5 \mu \mathrm{H}$, a capacitor of $200 \mu \mathrm{~F}$ and a resistor of $2 \Omega$ are connected...

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A $\sqrt{34} \mathrm{~m}$ long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3...

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The cut-off voltage of the diodes (shown in figure) in forward bias is 0.6 V. The current through the resister...

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A ball is spun with angular acceleration $\alpha=6 t^2-2 t$ where $t$ is in second and $\alpha$ is in rads-2....

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In a double slit experiment with monochromatic light, fringes are obtained on a screen placed at some distance from the...

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A metallic rod of length 20 cm is palced in North- South direction and is moved at a constant speed...

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The half life of a radioactive substance is 5 years. After x years a given sample of the radioactive substance...

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Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $v_2=\frac{n}{m^2} v_1$ and $...

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The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is $\mathrm{l}_{1 .}$....

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A deuteron and a proton moving with equal kinetic energy enter into to a uniform magnetic field at right angle...

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The displacement current of $4.425 \mu \mathrm{~A}$ is developed in the space between the plates of parallel plate capacitor when...

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In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is...

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A potential barrier of 0.4 V exists across a p-n junction. An electron enters the junction from the n-side with...

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The current density in a cylindrical wire of radius r = 4.0 mm is $1.0 \times 10^6 \mathrm{~A} / \mathrm{m}^2$....

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Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance $2000 \Omega$...

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A block of mass 2 kg moving on a horizontal surface with speed of $4 \mathrm{~ms}^{-1}$ enters a rough surface...

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A paralle plate capacitor is made up of stair like structure with a palte area A of each stair and...

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A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6s. The time it will...

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In an experiment to determine the velocity of sound in air at room temperature using a resonance is observed when...

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A diatomic gas $(\gamma=1.4)$ does 400 J of work when it is expanded isobarically. The heat given to the gas...

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A small spherical ball of radius 0.1 mm and density $10^4 \mathrm{~kg} \mathrm{~m}^{-3}$ falls freely under gravity through a a...

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A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of...

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The vernier constant of Vernier callipers is 0.1 mm and it has zero error of (–0.05) cm. While measuring diameter...

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We do not transmit low frequency signal to long distances because (a) The size of the antenna should be comparable...

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A person can throw a ball upto a maximum range of 100 m. How high above the ground he can...

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The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external...

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For a transistor to act as a switch, it must be operated in

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If the electric potential at any point (x, y, z)m in space is given by $V=3 x^2$ volt. The electric...

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Given below are two statements: Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jumps...

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A block of mass M placed inside a box descends vertically with acceleration 'a'. The block exerts a force equal...

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In the given figure, the block of mass m is dropped from the point 'A'. The expression for kinetic energy...

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If the mirror image of the point (2, 4, 7) in the plane 3x – y + 4z = 2...

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A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an...

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If a wave gets refracted into a denser medium, then which of the following is true?

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A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out...

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Given below are two statements : Statement I: The electric force changes the speed of the charged particle and hence...

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The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength $6630 \AA$ is 0.42 V ....

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A vessel contains 16g of hydrogen and 128 g of oxygen at standard temperature and pressure. The volume of the...

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Given below are two statements: Statement I : A time varying electric field is a source of changing magnetic field...

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The motion of a simple pendulum excuting S.H.M. is represented by following equation. Y = A sin $(\pi \mathrm{t}+\phi)$, where...

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The TV transmission tower at a particular station has a height of 125 m. For dubling the coverage of its...

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If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have...

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The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of...

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Two long parallel conductors $\mathrm{S}_1$ and $\mathrm{S}_2$ are separated by a distance 10 cm and carrying currents of 4A and...

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Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The...

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A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in...

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Three identical charged balls each of charge 2C are suspended from a common point P by silk threads of 2m...

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If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through...

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A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to...

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In an experiment of CE configuration of n-p-n transistor, the transfer characteristics are observed as given in figure. If the...

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The electric field at the point associated with a light wave is given by E = 200 $...

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In a series LCR circuit, the inductance, capacitance and resistance are L = 100mH,$C=100 \mu \mathrm{~F}$ and $\mathrm{R}=10 \Omega$ respectively....

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The equation of a particle executing simple harmonic motion is given by $x=\sin \pi\left(t+\frac{1}{3}\right) m$ At t = 1s, the...

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A small bulb is placed at the bottom of a tank containing water to a depth of $\sqrt{7} \mathrm{~m}$. The...

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In the following nuclear rection, Mass number of D is 182 and atomic number is 74 . Mass number and...

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The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the...

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27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger...

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A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to...

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The speed of light in media ' $A$ ' and ' $B$ ' are $2.0 \times 10^{10} \mathrm{~cm} / \mathrm{s}$...

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When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increase by...

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Two 10 cm long, straight wires, each carrying a current of 5 A are kept parallel to each other. If...

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Two satellites $S_1$ and $S_2$ are revolving in circular orbits around a planet with radius $R_1=3200 \mathrm{~km}$ and $R_2=800 \mathrm{~km}$...

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Two point charges Q each are placed at a distance d apart. A third point charge q is placed at...

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According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0ºC B. The mean free...

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Moment of Inertia (M.I.) of four bodies having same mass ‘M’ and radius ‘2R’ are as follows: I1= M.I. of...

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At what temperature a gold ring of diameter 6.230 cm be heated so that it can be fitted on a...

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A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force...

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For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows:

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A curved in a level road has a radius 75m. The maximum speed of a car turning this curved road...

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A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats...

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A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of...

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For $Z=a^2 x^3 y^{\overline{2}}$, where ' $a$ ' is a constant. If percentage error in measurement of ' $x$ '...

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Four spheres each of mass m form a square of side d (as shown in figure). A fifth sphere of...

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A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if...

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If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then...

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A geyser heats water flowing at a rate of 2.0 kg per minute from $30^{\circ} \mathrm{C}$ to $70^{\circ} \mathrm{C}$. If...

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In an experment ot verify Newton's law of cooling, a graph is plotted between, the temperature difference ( $\Delta T$...

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A stone tide to a string of length L is whirled in a vertical circle with the other end of...

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A monoatomic gas performs a work of $\frac{Q}{4}$ where $Q$ is the heat supplied to it. The molar heat capacity...

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A system to 10 balls each of mass 2 kg are connected via massless and unstretchable string. The system is...

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One end of a massless spring of spring constant k and natural length $\mathrm{I}_0$ is fixed while the other end...

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A circular coil of 1000 turns each with area $1 \mathrm{~m}^2$ is rotated about its vertical diameter at the rate...

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A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its...

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Identify the logic operation performed by the given circuit :

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A ray of light is incident at an angle of incidence $60^{\circ}$ on the glass slab of refractive index $\sqrt{3}$....

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When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the...

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A sample contains $10^{-2} \mathrm{~kg}$ each of two substances $A$ and $B$ with half lives 4 s and 8 s...

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A ball is projected vertically upward with an initial velocity of $50 \mathrm{~ms}^{-1}$ at $t=0 \mathrm{~s}$. At $t=2 \mathrm{~s}$. another...

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Which of the following figure represents the variation of $\ln \left(\frac{R}{R_0}\right)$ with $\ln A$ (If $R=$ radius of a nucleus...

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In the given circuit- the value of current $\mathrm{I}_{\mathrm{L}}$ will be ______ mA. (When $\mathrm{R}_{\mathrm{L}}=\mathrm{lk} \Omega$

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A sinusoidal wave $y(t)=40 \sin \left(10 \times 10^6 \pi t\right)$ is amplitude modulated by another sinusoidal wave $...

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The distance of the Sun from earth is $1.5 \times 10^{11}$ m and its angular diameter is (2000) s when...

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The positive feedback is required by an amplifier to act an oscillator. The feedback here means :

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Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce...

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A light whose electric field vectors are completely removed by using a good Polaroid, allowed to incident on the surface...

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A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is...

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The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be

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A potentiometer wire of length 10 m and resistance $20 \Omega$ is connected in series with a 25 V battery...

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A metal surface is illuminated by a radiation of wavelength 4500 Å. the ejected photo-electron enters a constant magnetic field...

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The interference pattern is obtained with two coherent light sources of intensity ratio 4 :1. And the ratio $...

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For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is...

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An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is...

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A body is projected from the ground at an angle of $45^{\circ}$ with the horizontal. Its velocity after 2 s...

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Which is the correct ascending order of wavelength?

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A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its...

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Two coils of self inductance $L_1$ and $L_2$ are connected in series combination having mutual inductance of the coils as...

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A bar magnet having a magnetic moment of $2.0 \times 10^5 \mathrm{JT}^{-1}$, is placed along the direction of uniform magnetic...

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The equivalent resistance between points A and B in the given network is :

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Sixty four conducting drops each of radius 0.02 m and each carrying a charge of $5 \mu \mathrm{C}$ are combined...

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A parallel plate capacitor with plate area $A$ and plate separation $d=2 m$ has a capacitance of $4 \mu F$....

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The charge on capacitor of capacitance 15 F in the figure given below is :

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A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept...

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The electromagnetic waves travel in a medium at a speed of $2.0 \times 10^8 \mathrm{~m} / \mathrm{s}$. The relative permeability...

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If $\rho$ is the density and $\eta$ is coefficient of viscosity of fluid which flows with a speed $v$ in...

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A sinusoidal voltage $V(t)=210 \sin 3000 t$ volt is applied to a series LCR circuit in which $...

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In Bohr's atomic model of hydrogen, let K. P and E are the kinetic energy, potential energy and total energy...

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Given below are two statements : One is labeled as Assertion A and the other is labelled as Reason R....

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A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and...

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Given below are two statements: Statement – I : Susceptibilities of paramagnetic and ferromagnetic substances increase with decrease in temperature....

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Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the...

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Solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational...

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The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic surface...

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Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work...

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In the arrangement shown in figure $a_1 a_2, a_3$ and $a_4$ are the accelerations of masses $m_1 m_2 m_3$ and...

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Two metallic plates form a parallel plate capacitor. The distance between the plates is ‘d’. A metal sheet of thickness...

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An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced...

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The dimension of mutual inductance is :

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A long cylindrical volume contains a uniformly distributed charge of density $\rho$. The radius of cylindrical volume is R. A...

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For a particle in uniform circular motion, the acceleration $\vec{a}$ at any point $P(R, \theta)$ on the circular path of...

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If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The...

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The ratio of specific heats $\left(\frac{C_p}{C_v}\right)$ in terms of degree of freedom (f) is given by:

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A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of $60 \mathrm{~ms}^{-1}$....

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A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated...

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An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding...

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A solid metallic cube having total surface area $24 \mathrm{~m}^2$ is uniformly heated. If its temperature is increased by $...

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Potential energy as a function of r is given by $U=\frac{A}{r^{10}}-\frac{B}{r^5}$, where r is the interatomic distance, A and B...

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Given below are two statements : Statement-I : The reactance of an ac circuit is zero. It is possible that...

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A proton, a deuteron and an $\alpha-$particle with same kinetic energy enter into a uniform magnetic field at right angle...

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The soft-iron is a suitable material for making an electromagnet. This is because soft-iron has :

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Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and...

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What will be the most suitable combination of three resistors $\mathrm{A}=2 \Omega, \mathrm{~B}=4 \Omega, \mathrm{C}=6 \Omega$ so that $\left(\frac{22}{3}\right) \Omega$...

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Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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Two massless springs with spring constants 2 k and 2 k, carry 50 g and 100 g masses at their...

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A Carnot engine take 5000 kcal of heat from a reservoir at $727^{\circ} \mathrm{C}$ and gives heat to a sink...

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Two identical charged particles each having a mass 10 g and charge $2.0 \times 10^{-7} \mathrm{C}$ area placed on a...

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A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed....

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The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes...

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Identify the pair of physical quantities that have same dimensions :

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For the network shown below, the value $V_B-V_A$ is V.

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A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive...

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A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by $...

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$\sqrt{d_1}$ and $\sqrt{d_2}$ are the impact parameters corresponding to scattering angles $60^{\circ}$ and $90^{\circ}$ respectively, when an $\alpha$ particle is...

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300 cal . of heat is given to a heat engine and it rejects 225 cal . of heat. If...

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The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire...

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A body is performing simple harmonic with an amplitude of 10 cm . The velocity of the body was tripled...

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As per the given figure, two plates $A$ and $B$ of thermal conductivity $K$ and $2 K$ are joined together...

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A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75...

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The area of cross-section of a large tank is $0.5 \mathrm{~m}^2$. It has a narrow opening near the bottom having...

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The intensity of the light from a bulb incident on a surface is $0.22 \mathrm{~W} / \mathrm{m}^2$. The amplitude of...

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Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to...

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A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical...

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The current density in a cylindrical wire of radius 4 mm is 4 $\times 10^6 \mathrm{Am}^{-2}$. The current through the...

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Only $2 \%$ of the optical source frequency is the available channel bandwidth for an optical communicating system operating at...

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A cell, shunted by a 8 $\Omega$ resistance, is balanced across a potentiometer wire of length 3m. The balancing length...

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A beam of monochromatic light is used to excite the electron in Li++ from the first orbit to the third...

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Using Young's double slit experiment, a monochromatic light of wavelength 5000 Å produces fringes of fringe width 0.5 mm ....

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In Young’s double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen...

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A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance...

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In a carnot engine, the temperature of reservoir is $527^{\circ} \mathrm{C}$ and that of sink is 200 K. If the...

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A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength $...

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A mixture of hydrogen and oxygen has volume 2000 $\mathrm{cm}^3$, temperature 300 K, pressure 100 kPa and mass 0.76 g...

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A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged....

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A longitudinal wave is represented by $x=10 \sin 2 \pi\left(n t-\frac{x}{\lambda}\right) \mathrm{cm}$. The maximum particle velocity will be four times...

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Identify the correct Logic Gate for the following output (Y) of two inputs A and B.

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An ideal fluid of density 800 $\mathrm{kgm}^{-3}$, flows smoothly through a bent pipe (as shown in figure) that tapers in...

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A hydrogen atom in is ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen...

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At a certain place the angle of dip is $30^{\circ}$ and the horizontal component of earth's magnetic field is 0.5...

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A 110 V, 50 Hz, AC source is connected in the circuit (as shown in figure). The current through the...

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The escape velocity of a body on a planet ' A ' is $12 \mathrm{kms}^{-1}$. The escape velocity of the...

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Consider a light ray travelling in air is incident into a medium of refractive index $\sqrt{2 \mathrm{n}}$ . The incident...

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Two vectors $\vec{A}$ and $\vec{B}$ have equal magnitudes. If-magnitude of $\vec{A}+\vec{B}$ is equal to two times the magnitude of $\vec{A}-\vec{B}$,...

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A telegraph line of length loo km has a capacity of $0.01 \mu \mathrm{~F} / \mathrm{km}$ and it carries an...

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An observer moves towards a stationary source of sound with a velocity equal to one-fifth of the velocity of sound....

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A singly ionized magnesium atom (A24) ion is accelerated to kinetic energy 5 keV and is projected perpendicularly into a...

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In Vander Waals equation $\left[P+\frac{a}{V^2}\right][V-b]=R T ; P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$...

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As per the given circuit, the value of current through the battery will be ........... A.

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The total internal energy of two mole monoatomic ideal gas at temperature $\mathrm{T}=300 \mathrm{~K}$ will be J . (Given $...

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In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale...

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A hanging mass $M$ is connected to a four times bigger mass by using a string-pulley arrangement. as shown in...

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A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck...

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The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its...

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A light ray is incident, at an incident angle $\theta_1$, on the system of two plane mirrors $\mathrm{M}_1$ and $\mathrm{M}_2$...

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A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass...

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A force of 10N acts on a charged particle placed between two plates of a charged capacitor. If one plate...

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For a series LCR circuit, I vs $\omega$ curve is shown : $\mid$ (a) To the left of $\omega r_r$,...

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The position vector of 1 kg object is $\vec{r}=(3 \hat{i}-\hat{j}) \mathrm{m}$ and its velocity $\vec{v}=(3 \hat{j}+k) \mathrm{ms}^{-1}$. The magnitude of...

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An AC source is connected to an inductance of 100 mH , a capacitance of $100 \mu \mathrm{~F}$ and a...

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A $10 \Omega$, 20 mH coil carrying constant current is connected to a battery of 20 V through a switch...

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The elongation of a wire on the surface of the earth is $10^{-4}$ m. The same wire of same dimensions...

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Current measured by the ammeter (A) in the reported circuit when no current flows through $10 \Omega$ resistance. will be...

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A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g...

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Mach List-I with List – II : Choose the correct answer from the options given below :

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A charged particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the...

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In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now...

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A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a...

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The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for...

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A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at...

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A pendulum is suspended by a string of length 250 cm . The mass of the bob of the pendulum...

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A particle of mass 500 gm is moving in a straight line with velocity $v=b x^{5 / 2}$. The work...

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From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A...

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A ball of mass 0.5 kg is dropped from the height of 10m. The height, at which the magnitude of...

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The current flowing through an ac circuit is given by $I=5 \sin (120 \pi t) A$ How long will the...

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The velocity of sound in a gas. in which two wavelengths 4.08 m and 4.16 m produce 40 beats in...

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When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted election...

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A fighter jet is flying horizontally at a certain altitude with a speed of 200 $\mathrm{ms}^{-1}$. When it passes directly...

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Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture...

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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Match List-I with List-II Choose the correct answer from the options given below :

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A force on an object of mass 100 g is $(10 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}) \mathrm{N}$. The position of that object at...

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A body of mass 5 kg moving with a uniform speed $3 \sqrt{2} \mathrm{~ms}^{-1}$ in $X-Y$ plane along the line...

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As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220...

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The current in a coil of self inductance 2.0 H is increasing according to $\mathrm{I}=2 \sin \left(\mathrm{t}^2\right) \mathrm{A}$. The amount...

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The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m is : [Permeability of free...

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Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R....

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Choose the correct statement for amplitude modulation:

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A particle is moving in a circle of radius 50 cm in such a way that at any instant the...

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A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10 mV is added to...

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The total current supplied to the circuit as shown in figure by the 5V battery is __________A

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For using a multimeter to identify diode from electrical components. choose the correct statement out of the following about the...

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Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each other....

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The velocity of a small ball of mass ‘m’ and density d1, when dropped in a container filled with glycerine,...

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A resistor develops 300 J of thermal energy in 15s, when a current of 2A is passed through it. If...

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The I-V characteristics of a p-n junction diode in forward bias is shown in the figure. The ratio of dynamic...

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0.056 kg of Nitrogen is enclosed in a vessel at a temperature of $127^{\circ} \mathrm{C}$. The amount of heat required...

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The equivalent capacitance between points A and B in below shown figure will be _____μF.

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What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary...

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Two metallic blocks $\mathrm{M}_1$ and $\mathrm{M}_2$ of same area of cross-section are connected to each other (as shown in figure)....

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In the given circuit, the current flowing through the resistance $20 \Omega$ is 0.3 A , while the ammeter reads...

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The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe....

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The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it,...

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How many alpha and beta particles are emitted when Uranium ${ }_{92} \mathrm{U}^{238}$ decays to lead $82 \mathrm{~Pb}^{206}$?

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In the following circuit, the correct relation between output (Y) and inputs A and B will be :

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A wire of length $L$ is hanging from a fixed support. The length changes to $L_1$ and $L_2$ when masses...

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A steam engine intakes 50 g of steam at $100^{\circ} \mathrm{C}$ per minute and cools it down to $20^{\circ} \mathrm{C}$....

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A parallel plate capacitor is formed by two plates each of area $30 \pi \mathrm{~cm}^2$ separated by 1 mm. A...

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The velocity of upper layer of water in a river is $36 \mathrm{kmh}^{-1}$. Shearing stress between horizontal layers of water...

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Given below are two statements : Statement I : The law of gravitation holds good for any pair of bodies...

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An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy...

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A 0.5 kg block moving at a speed of $12 \mathrm{~ms}^{-1}$ compresses a spring through a distance 30 cm when...

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A Carnot engine whose heat sinks at $27^{\circ} \mathrm{C}$, has an efficiency of $25 \%$. By how many degrees should...

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A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat...

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A uniform chain of 6 m length is placed on a table such that a part of its length is...

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A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation...

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A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students took the...

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In free space, an electromagnetic wave of 3 GHz of 3 GHz frequency strikes over the edge of an object...

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Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two...

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A 72 $\Omega$ galvanometer is shunted by a resistance of 8 $\Omega$. The percentage of the total current which passes...

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The de Brogue wavelengths for an electron and a photon are $\lambda_{\mathrm{e}}$ and $\lambda_{\mathrm{p}}$ respectively. For the same kinetic energy...

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The difference of speed of light in the two media $A$ and $B\left(v_A-v_B\right)$ is $2.6 \times 10^7 \mathrm{~m} / \mathrm{s}$....

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Choose the correct option from the following options given below :

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The aperture of the objective is 24.4 cm. The resolving power of this telescope. If a light of wavelength 2440...

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If electric field intensity of a uniform plane electro magnetic wave is given as $$ E=-301.6 \sin (k z-\omega t)...

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A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic...

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A signal of 100 THz frequency can be transmitted with maximum efficiency by :

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A spherical shell of 1 kg mass and radius $R$ is rolling with angular speed $\omega$ on horizontal plane (as...

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Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0)...

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The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode because.

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The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2)....

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The equations of two waves are given by : $...

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The ratio for the speed of the electron in the 3rd orbit of He+ to the speed of the electron...

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A proton and an alpha particle of the same enter in a uniform magnetic field which is acting perpendicular to...

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The activity of a radioactive material is $2.56 \times 10^{-3} \mathrm{Ci}$. If the half life of the material is 5...

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A radar sends an electromagnetic signal of electric field $\left(\mathrm{E}_0\right)=2.25 \mathrm{~V} / \mathrm{m}$ and magnetic field $\left(\mathrm{B}_0\right)=1.5 \times 10^{-8} \mathrm{~T}$...

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Given below are two statements Statement I : Davisson-Germer experiment establishes the wave nature of electrons. Statement II : If...

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A resistance of 40 $\Omega$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the...

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An infinitely long hollow conducting cylinder with radius R carries a uniform current along its surface. Choose the correct representation...

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An aluminium wire is stretched to make its length, 04% larger. Then percentage change in resistance is:

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A light wave travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with...

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The approximate height from the surface of earth at which the weight of the body becomes $\frac{1}{3}$ of its weight...

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The three charges q / 2, q and q / 2 are placed at the corners $A, B$ and $C$...

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The magnetic flux through a coil perpendicular to its plane is varying according to the relation $\phi=\left(5 t^3+4 t+2 t-5\right)$...

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A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a...

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A particle experiences a variable force $\vec{F}=\left(4 x \hat{i}+3 y^2 \hat{j}\right)$ in a horizontal $x-y$ plane. Assume distance in meters...

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A body of mass $M$ at rest explodes into three pieces, in the ratio of masses $1: 1: \mid 2$....

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Given below are two statements : Statement-I : A point charge is brought in an electric field. The value of...

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A sliver wire has mass $(0.6 \pm 0.006) \mathrm{g}$, radius $(0.5 \pm 0.005)$ mm and length $(4 \pm 0.04)$ cm....

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Given below are two statement: Statement -I : What $\mu$ amount of an ideal gas undergoes adiabatic change from state...

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The two light beams having intensities I and 91 interfere to produce a fringe pattern on a screen. The phase...

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Two balls $A$ and $B$ are placed at the top of 180 m tall tower. Ball $A$ is released from...

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The electric field in an electromagnetic wave is given by $\mathrm{E}=56.5 \sin \omega(\mathrm{t}-\mathrm{x} / \mathrm{c}) \mathrm{NC}^{-1}$. Find the intensity of...

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Two capacitors having capacitance $\mathrm{C}_1$ and $\mathrm{C}_2$ respectively are connected as shown in figure. Initially, capacitor C1 is charged to...

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A girl standing on road holds her umbrella at $45^{\circ}$ with the vertical to keep the rain away. If she...

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If wattless current flows in the AC circuit, then the circuit is

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A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of specific heats 1.4. Vessel is...

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A projectile is launched at an angle‘ $\alpha$ ’ with the horizontal with a velocity 20 $\mathrm{ms}^{-1}$. After 10 s,...

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Time period of a simple pendulum in a stationary lift is 'T'. If the lift accelerates with $\frac{g}{6}$, vertically upwards...

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The efficiency of a Carnot's engine, working between steam point and ice point, will be :

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A water drop of diameter cm is broken into 64 equal droplets. The surface tension of water is 0.075 N/m....

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A long straight wire with a circular crosssection having radius R , is carrying a steady current I . The...

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The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly represented...

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A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 $\mathrm{rads}^{-1}$ in...

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Two planets A and B of equal mass are having their period of revolutions $T_A$ and $T_B$ such that $...

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Q JEE MAIN 2023

Match List-I with List-II Choose the correct answer from the options given below :-

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In a single slit diffraction pattern, a light of wavelength $6000 \AA$ is used. The distance between the first and...

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A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio...

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In the figure, a very large plane sheet of positive charge is shown. $P_1$ and $P_2$ are two points at...

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A vertical electric field of magnitude $4.9 \times 10^5 \mathrm{~N} / \mathrm{C}$ just prevents a water droplet of a mass...

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In the given figure, the charge stored in $6 \mu \mathrm{~F}$ capacitor, when points A and B are joined by...

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The relation between root mean square speed $\left(v_{\mathrm{rms}}\right)$ and most probable speed $\left(v_p\right)$ for the molar mass $M$ of oxygen...

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A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls...

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An object is thrown vertically upwards. At its maximum height, which of the following quantity becomes zero ?

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Motion of a particle in x-y plane is described by a set of following equations $...

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The terminal velocity $\left(V_t\right)$ of the spherical rain drop depends on the radius (r) of the spherical rain drop as:-

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A simple harmonic oscillator has an amplitude A and time period $6 \pi$ second. Assuming the oscillation starts from its...

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A block of mass 10 kg starts sliding on a surface with an initial velocity of $9.8 \mathrm{~ms}^{-1}$. The coefficient...

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A particle of mass m is moving in a circular path of constant radius $r$ such that its centripetal acceleration...

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A charge of $4.0 \mu \mathrm{C}$ is moving with a velocity of $4.0 \times 10^6 \mathrm{~ms}^{-1}$ along the positive y...

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A projectile is projected with velocity of 25 m/s at an angle $\theta$ with the horizontal. After t seconds its...

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A person is standing in an elevator. In which situation, he experiences weight loss ?

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The height of any point P above the surface of earth is equal to diameter of earth. The value of...

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Hydrogen atom is bombarded with electrons accelerated through a potential different of $V$, which causes excitation of hydrogen atoms. If...

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Given below are two statements: One is labeled as Assertion A and the other is labelled as Reason R. Assertion...

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If force $\vec{F}=3 \hat{i}+4 \hat{j}-2 \hat{k}$ acts on a particle having position vector $2 \hat{i}+\hat{j}+2 \hat{k}$ then, the torque about...

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Identify the pair of physical quantities which have different dimensions :

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A horizontal straight wire 5 m long extending from east to west falling freely at right angle to horizontal component...

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An expression for a dimensionless quantity P is given by $P=\frac{\alpha}{\beta} \log _e\left(\frac{k t}{\beta x}\right)$ ; where $\alpha$ and $\beta$...

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Which of the following relations is true for two unit vectors $\hat{A}$ and $\hat{B}$ making an angle $\theta$ to each...

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Two metallic wires P and Q have same volume and are made up of same material. If their area of...

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Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each...

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An electric field is given by $(6 \hat{\imath}+5 \hat{\jmath}+3 \hat{k}) N / C$. The electric flux through a surface area...

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$\overrightarrow{\mathrm{A}}$ is a vector quantity such that $|\overrightarrow{\mathrm{A}}|=$ non zero constant. Which of the following expressions is true for $\overrightarrow{\mathrm{A}}$...

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Given below are two statements : One is labeled as Assertion (A) and the other is labelled as Reason (R)....

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Given below are two statements : Statement I : Most of the mass of the atom and all its positive...

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If $Z=\frac{A^2 B^3}{C^4}$, then the relative error in $Z$ will be

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Suppose a uniformly charged wall provides a uniform electric field of $2 \times 10^4 \mathrm{~N} / \mathrm{C}$ normally. A charged...

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The bulk modulus of a liquid is $3 \times 10^{10} \mathrm{Nm}^{-2}$ The pressure required to reduce the volume of liquid...

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N moles of a polyatomic gas (f=6) must be mixed with two moles of a monoatomic gas so that the...

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A particle is moving in a straight line. The variation of position ' $x$ ' as a function of time...

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A uniform rod AB of mass 2 kg and Length 30 cm at rest on a smooth horizontal surface. An...

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In the given circuit, the current in resistance $R_3$ is i.

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In Young's double slit experiment, monochromatic light of wavelength 5000 Å is used. The slits are 1.0 mm apart and...

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A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular point (in...

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A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun...

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A wire of length L and radius r is clamped at one end. If its other end is pulled by...

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A coil of 200 turns and area $0.20 \mathrm{~m}^2$ is rotated at half a revolution per second and is placed...

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In an electrical circuit drawn below the amount of charge stored in the capacitor is $\mu \mathrm{C}$.

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A bob of mass ' $m$ ' is suspended by a light string of length ' $L$ '. It is...

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A nucleus has mass number $A_1$ and volume $V_1$. Another nucleus has mass number $A_2$ and volume $V_2$. If relation...

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A small liquid drop of radius R is divided into 27 identical liquid drops. If the surface tension is T,...

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A series $L C R$ circuit with $L=\frac{100}{\pi} \mathrm{mH}, \mathrm{C}=\frac{10^{-3}}{\pi} \mathrm{~F}$ and $\mathrm{R}=10 \Omega$, is connected across an ac source...

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A particular hydrogen - like ion emits the radiation of frequency $3 \times 10^{15} \mathrm{~Hz}$ when it makes transition from...

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Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light...

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If Rydberg's constant is R, the longest wavelength of radiation in Paschen series will be $\frac{\alpha}{7 \mathrm{R}}$, where α=

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Two identical spheres each of mass 2 kg and radius 50 cm are fixed at the ends of a light...

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The electric potential at the surface of an atomic nucleus (z=50) of radius $9 \times 10^{-13} \mathrm{~cm}$ is $...

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One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the...

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A body of mass ' $m$ ' is projected with a speed ' $u$ ' making an angle of $45^{\circ}$...

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A parallel beam of monochromatic light of wavelength 5000Å is incident normally on a single narrow slit of width 0.001...

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Two circular coils P and Q of 100 turns each have same radius of $\pi \mathrm{cm}$. The currents in P...

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A moving coil galvanometer has 100 turns and each turn has an area of $2.0 \mathrm{~cm}^2$. The magnetic field produced...

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A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii...

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The magnetic flux $\phi$ (in weber) linked with a closed circuit of resistance $8 \Omega$ varies with time (in seconds)...

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The reading of pressure metre attached with a closed pipe is $4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2$. On opening the...

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A particle initially at rest starts moving from reference point. x=0 along x-axis, with velocity v that varies as v=$...

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A body falling under gravity covers two points A and B separated by 80 m in 2 s. The distance...

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A closed organ pipe 150 cm long gives 7 beats per second with an open organ pipe of length 350"...

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A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency $f_1$. The...

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Two charges of $-4 \mu \mathrm{C}$ and $+4 \mu \mathrm{C}$ are placed at the points $\mathrm{A}(1,0,4) \mathrm{m}$ and $\mathrm{B}(2,-1,5) \mathrm{m}$...

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A body of mass 4 kg experiences two forces $\overrightarrow{\mathrm{F}}_1=5 \hat{\imath}+8 \hat{\jmath}+7 \hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{F}}_2=3 \hat{\imath}-4 \hat{\jmath}-3 \hat{\mathrm{k}}$. The acceleration...

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In Young's double slit experiment, light from two identical sources are superimposing on a screen. The path difference between the...

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A light planet is revolving around a massive star in a circular orbit of radius R with a period of...

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Two particles $X$ and $Y$ having equal charges are being accelerated through the same potential difference. Thereafter they enter normally...

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A transformer has an efficiency of 80% and works at 10 V and 4 kW. If the secondary voltage is...

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If the distance between object and its two times magnified virtual image produced by a curved mirror is 15 cm...

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Consider two physical quantities A and B related to each other as $\mathrm{E}=\frac{\mathrm{B}-\mathrm{x}^2}{\mathrm{At}}$ where $\mathrm{E}, \mathrm{x}$ and t have dimensions...

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Q JEE MAIN 2024

Match List - I with List - II. Choose the correct answer from the options given below :

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The output of the given circuit diagram is

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In a metre-bridge when a resistance in the left gap is 2Ω and unknown resistance in the right gap, the...

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A galvanometer (G) of 2Ω resistance is connected in the given circuit. The ratio of charge stored in $\mathrm{C}_1$ and...

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Train A is moving along two parallel rail tracks towards north with speed 72 km/h and train B is moving...

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A body of mass 2 kg begins to move under the action of a time dependent force given by $...

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If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2 km/s, the root...

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A small spherical ball of radius $r$, falling through a viscous medium of negligible density has terminal velocity ' $v$...

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The mass of the moon is 1 / 144 times the mass of a planet and its diameter $...

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$\mathrm{C}_1$ and $\mathrm{C}_2$ are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as shown in figure. The ratio...

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Q JEE MAIN 2023

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192

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A microwave of wavelength 2.0cm falls normally on a slit of width 4.0 cm. The angular spread of the central...

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Q JEE MAIN 20241

If two vectors $\overrightarrow{\mathrm{A}}$ and $\overrightarrow{\mathrm{B}}$ having equal magnitude $R$ are inclined at an angle $\theta$, then

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Q JEE MAIN 2024

By what percentage will the illumination of the lamp decrease if the current drops by 20% ?

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Monochromatic light of frequency $6 \times 10^{14}$ Hz is produced by a laser. The power emitted is $...

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A block of mass 5" " kg is placed on a rough inclined surface as shown in the figure. If...

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The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10 m ....

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A cricket player catches a ball of mass 120 g moving with 25 m/s speed. If the catching process is...

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In a photoelectric effect experiment a light of frequency 1.5 times the threshold frequency is made to fall on the...

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If frequency of electromagnetic wave is 60MHz and it travels in air along z direction then the corresponding electric and...

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Given below are two statements: Statement I: Electromagnetic waves carry energy as they travel through space and this energy is...

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Two resistance of $100 \Omega$ and $200 \Omega$ are connected in series with a battery of 4 V and negligible...

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Q JEE MAIN 2024

The resistance per centimeter of a meter bridge wire is r , with $\mathrm{X} \Omega$ resistance in left gap. Balancing...

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A point source is emitting sound waves of intensity $16 \times 10^{-8} \mathrm{Wm}^{-2}$ at the origin. The difference in intensity...

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A stone of mass 900 g is tied to a string and moved in a vertical circle of radius 1...

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A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational...

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A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius...

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The temperature of a gas having $2.0 \times 10^{25}$ molecules per cubic meter at 1.38 atm (Given, $...

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Two identical charged spheres are suspended by string of equal lengths. The string make an angle of $37^{\circ}$ with each...

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The speed of sound in oxygen at S.T.P. will be approximately: (Given, $\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1}, \gamma=1.4$ )

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The current of 5 A flows in a square loop of sides 1 m is placed in air. The magnetic...

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When unpolarized light is incident at an angle of $60^{\circ}$ on a transparent medium from air. The reflectec ray is...

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In an a.c. circuit, voltage and current are given by. $\mathrm{V}=100 \sin (100 \mathrm{t}) \mathrm{V}$ and $...

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A vector has magnitude same as that of $\overrightarrow{\mathrm{A}}-=3 \hat{\jmath}+4 \hat{\jmath}$ and is parallel to $\overrightarrow{\mathrm{B}}=4 \hat{\imath}+3 \hat{\jmath}$. The $x$...

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In an experiment to measure the focal length (f) of a convex lens, the magnitude of object distance (x) and...

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A physical quantity $Q$ is found to depend on quantities $a, b, c$ by the relation $Q=\frac{a^4 b^3}{c^2}$. The percentage...

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An $A C$ voltage $V=20 \sin 200 \pi t$ is applied to a series $L C R$ circuit which drives...

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Two discs of moment of inertia $I_1=4 \mathrm{~kg} \mathrm{~m}^2$ and $\mathrm{I}_2=2 \mathrm{~kg} \mathrm{~m}^2$ about their central axes \& normal to...

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The magnetic field at the centre of a wire loop formed by two semicircular wires of radii $\mathrm{R}_1=2 \pi \mathrm{~m}$...

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Q JEE-Main_2025

The truth table for this given circuit is :

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A big drop is formed by coalescing 1000 small identical drops of water. If $E_1$ be the total surface energy...

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Force between two point charges $\mathrm{q}_1$ and $\mathrm{q}_2$ placed in vacuum at ' $r$ ' cm apart is $F$. Force...

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Q JEE MAIN 2024

A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding having...

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Projectiles A and B are thrown at angles of $45^{\circ}$ and $60^{\circ}$ with vertical respectively from top of a 400...

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The measured value of the length of a simple pendulum is 20" " cm with 2" " mm accuracy. The...

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A heavy iron bar of weight 12 kg is having its one end on the ground and the other on...

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A uniform magnetic field of $2 \times 10^{-3} \mathrm{~T}$ acts along positive Y -direction. A rectangular loop of sides 20...

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Match List I with List II

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Two sources of light emit with a power of 200" " W. The ratio of number of photons of visible...

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Given below are two statements : one is labelled a Assertion (A) and the other is labelled as Reason(R) Assertion...

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A light string passing over a smooth light fixed pulley connects two blocks of masses 1 m and 2 m...

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An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity $...

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When a potential difference V is applied across a wire of resistance R, it dissipates energy at a rate W....

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Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80" " N...

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When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for a...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)...

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If three moles of monoatomic gas $\left(\gamma=\frac{5}{3}\right)$ is mixed with two moles of a diatomic gas $\left(\gamma=\frac{7}{5}\right)$, the value of...

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In the given circuit, the voltage across load resistance ( $R_L$ ) is:

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The threshold frequency of a metal with work function 6.63eV is :

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Let a curve $y=f(x), x \in(0, \infty)$ pass through the points $P\left(1, \frac{3}{2}\right)$ and $Q\left(a, \frac{1}{2}\right)$. If the tangent at...

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During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute...

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Primary side of a transformer is connected to 230 V,50 Hz supply. Turns ratio of primary to secondary winding is...

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If mass is written as $\mathrm{m}=\mathrm{kc}^{\mathrm{P}} \mathrm{G}^{-1 / 2} \mathrm{~h}^{1 / 2}$ then the value of P will be :...

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A particle of charge ${ }^{\prime}-q$ ' and mass ${ }^{\prime} m$ ' moves in a circle of radius $...

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Escape velocity of a body from earth is 11.2" " km/s. If the radius of a planet be one-third the...

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A beam of unpolarised light of intensity I_0 is passed through a polaroid A and then through another polaroid B...

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If the total energy transferred to a surface in time $t$ is $6.48 \times 10^5 \mathrm{~J}$, then the magnitude of...

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A block of mass $m$ is placed on a surface having vertical cross section given by $y=x^2 / 4$. If...

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An alternating voltage $V(t)=220 \sin 100 \pi t$ volt is applied to a purely resistive load of $50 \Omega$. The...

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An electron revolving in $\mathrm{n}^{\text {th }}$ Bohr orbit has magnetic moment $\mu_n$. If $\mu_n \alpha n^x$, the value of...

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Choose the correct statement for processes A & B shown in figure.

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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From the statements given below : (A) The angular momentum of an electron in orbit is an integral multiple of...

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The total kinetic energy of 1 mole of oxygen at $27^{\circ} \mathrm{C}$ is: [Use universal gas constant $(\mathrm{R})=8.31 \mathrm{~J} /$...

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In a nuclear fission reaction of an isotope of mass $M$, three similar daughter nuclei of same mass are formed....

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Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across...

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To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor, an electrical arrangement shown in the figure is prepared....

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A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme...

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The atomic mass of ${ }_6 \mathrm{C}^{12}$ is 12.000000 u and that of ${ }_6 \mathrm{C}^{13}$ is 13.003354 u ....

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The sum of the series $...

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A current of $200 \mu \mathrm{~A}$ deflects the coil of a moving coil galvanometer through $60^{\circ}$. The current to cause...

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The truth table of the given circuit diagram is :

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In an ammeter, 5 % of the main current passes through the galvanometer. If resistance of the galvanometer is G...

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For the photoelectric effect, the maximum kinetic energy $\left(E_k\right)$ of the photoelectrons is plotted against the frequency (v) of the...

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Given below are two statements : Statement (I) : The limiting force of static friction depends on the area of...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R...

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A block of mass 1" " kg is pushed up a surface inclined to horizontal at an angle of 60^∘...

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Wheatstone bridge principle is used to measure the specific resistance $\left(S_1\right)$ of given wire, having length L , radius r...

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If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of...

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The equation of state of a real gas is given by $\left(P+\frac{a}{V^2}\right)(V-b)=R T$, where $P, V$ and $T$ are pressure....

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If a solid sphere of mass 5 kg and a disc of mass 4 kg have the same radius. Then...

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A series LCR circuit is connected to an AC source of 220 V, 50 Hz. The circuit contains a resistance...

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A proton with a kinetic energy of 2.0 eV moves into a region of uniform magnetic field of magnitude $...

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Experimentally it is found that 12.8 eV energy is required to separate a hydrogen atom into a proton and an...

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A body is dropped on ground from a height ' $\mathrm{h}_1$ ' and after hitting the ground, it rebounds to...

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Two cells are connected between points A and B as shown. Cell 1 has emf of 12 V and internal...

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A beam of light consisting of two wavelengths $7000 \AA$ and $5500 \AA$ is used to obtain interference pattern in...

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Two concentric circular coils with radii 1 cm and 1000 cm , and number of turns 10 and 200 respectively...

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A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of amplitude 10 cm...

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A ring and a solid sphere rotating about an axis passing through their centers have same radii of gyration. The...

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A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2. The ratio of...

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As shown in the figure, two parallel plate capacitors having equal plate area of $200 \mathrm{~cm}^2$ are joined in such...

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A metal block of mass m is suspended from a rigid support through a metal wire of diameter $...

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As shown in the figure, the voltmeter reads 2 V across $5 \Omega$ resistor. The resistance of the voltmeter is...

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A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision,...

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The weight of a body on the surface of the earth is 100 N. The gravitational force on it when...

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For an amplitude modulated wave the minimum amplitude is 3V, while the modulation index is 60%. The maximum amplitude of...

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A spherical drop of liquid splits into 1000 identical spherical drops. If$\mathrm{u}_{\mathrm{i}}$ is the surface energy of the original drop...

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A small particle of mass $m$ moves in such a way that its potential energy $U=\frac{1}{2} m \omega^2 r^2$ where...

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Light from a point source in air falls on a spherical glass surface (refractive index, $\mu=1.5$ and radius of curvature...

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A solid sphere with uniform density and radius R is rotating initially with constant angular velocity $\left(\omega_1\right)$ about its diameter....

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A body cools in 7 minutes from 60°C to 40°C. The temperature of the surrounding is 10°C. The temperature of...

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Two long parallel wires carrying currents 8A and 15 A in opposite directions are placed at a distance of 7...

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Two cells of emf 1 V and 2 V and internal resistances $2 \Omega$ and $1 \Omega$, respectively, are connected...

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A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm ....

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In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is...

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A student is provided with a variable voltage source V , a test resistor $\mathrm{R}_{\mathrm{r}}=10 \Omega$, two identical galvanometers $\mathrm{G}_1$...

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is connected in parallel with it. The effective capacitance of this combination is $\_\_\_\_$ $\mathrm{pF}_{\text {in }}$ (Given $...

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An inductor of self inductance 1 H is connected in series with a resistor of $100 \pi \mathrm{ohm}$ and an...

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The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B...

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The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas at...

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A sample of a liquid is kept at 1 atm . It is compressed to 5 atm which leads to...

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A particle of charge $1.6 \mu \mathrm{C}$ and mass $16 \mu \mathrm{~g}$ is present in a strong magnetic field of...

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A physical quantity $C$ is related to four other quantities $p, q, r$ and $s$ as follows $$ C=\frac{p q^2}{r^3...

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A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends...

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An object is placed on the principal axis of convex lens of focal length 10 cm as shown. A plane...

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The energy density associated with electric field $E$ and magnetic field $B$ of an electromagnetic wave in free space is...

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If an optical medium possesses a relative permeability of $\frac{10}{\pi}$ and relative permittivity of $\frac{1}{0.0885}$, then the velocity of light...

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An electron in the hydrogen atom initially in the fourth excited state makes a transition to $n^{\text {th }}$ energy...

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An electron is released from rest near an infinite non-conducting sheet of uniform charge density ' $-\sigma$. The rate of...

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A dipole comprises of two charged particles of identical magnitude $q$ and opposite in nature. The mass ' $m$ '...

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Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A...

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A train blowing a whistle of frequency 320 Hz approaches an observer standing on the platform at a speed of...

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In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, $...

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Choose the incorrect statement from the following:

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A stream of a positively charged particles having $\frac{\mathrm{q}}{\mathrm{m}} \times 2 \times 10^{11} \frac{\mathrm{C}}{\mathrm{kg}}$ and velocity $...

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A rod of linear mass density ' $\lambda$ ' and length ' $L$ ' is bent to form a ring...

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A particle starts with an initial velocity of $10.0 \mathrm{~ms}^{-1}$ along $x$-direction and accelerates uniformly at the rate of $...

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Assume that protons and neutrons have equal masses. Mass of a nucleon is $1.6 \times 10^{-27} \mathrm{~kg}$ and radius of...

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A capacitor has capacitance 5μF when it’s parallel plates are separated by air medium of thickness d. A slab of...

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Electric charge is transferred to an irregular metallic disk as shown in figure. If $\sigma_1, \sigma_2, \sigma_3$ and $\sigma_4$ are...

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Vectors $a \hat{i}+b \hat{j}+\hat{k}$ and $2 \hat{i}-3 \hat{j}+4 \hat{k}$ are perpendicular to each other when $3 a+2 b=7$, the ratio...

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A child of mass 5 kg is going round a merry-goround that makes 1 rotation in 3.14 s. The radius...

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The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same...

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A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20...

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Solid sphere A is rotating about an axis PQ. If the radius of the sphere is 5 cm then its...

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The work functions of Aluminium and Gold are 4.1 eV and 5.1 eV respectively. The ratio of the slope of...

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A body of mass 2 kg moving with velocity of $\vec{v}_{\mathrm{in}}=3 \hat{\mathrm{i}}+4 \hat{\mathrm{j}} \mathrm{ms}^{-1}$ enters into a constant force field...

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As shown in the figure, a combination of a thin plano concave lens and a thin plano convex lens is...

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As shown in the figure, a particle is moving with constant speed $\pi \mathrm{m} / \mathrm{s}$. Considering its motion from...

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A quantity Q is formulated as $\mathrm{X}^{-2} \mathrm{Y}^{+\frac{3}{2}} \mathrm{Z}^{-\frac{2}{5}} \cdot \mathrm{X}, \mathrm{Y}$ and Z are independent parameters which have fractional...

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A hollow cylindrical conductor has length of 3.14 m , while its inner and outer diameters are 4 mm and...

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Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming...

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In the circuit shown in the figure, the ratio of the quality factor and the band width is ______ s.

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Figure shows a part of an electric circuit. The potentials at points a, b and c are 30 V, 12...

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A hole is drilled in a metal sheet. At $27^{\circ} \mathrm{C}$, the diameter of hole is 5 cm . When...

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Two metal spheres of radius $R$ and 3 R have same surface charge density $\sigma$. If they are brought in...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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A block of mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason Assertion A...

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For a nucleus of mass number and radius , the mass density of nucleus can be represented as 1.

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A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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Match List I with List II

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Figure shows a current carrying square loop $A B C D$ of edge length is ' a ' lying in...

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A conducting loop of radius $\frac{10}{\sqrt{\pi}}$ is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is...

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The output voltage in the following circuit is (Consider ideal diode case)

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The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto...

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An infinitely long wire has uniform linear charge density $\lambda=2 \mathrm{nC} / \mathrm{m}$. The net flux through a Gaussian cube...

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Given below are two statements : Statements 1 : The temperature of a gas is $-73^{\circ} \mathrm{C}$. When the gas...

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A capacitor of capacitance $150.0 \mu \mathrm{~F}$ is connected to an alternating source of emf given by $...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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A monoatomic gas having $\gamma=\frac{5}{3}$ is stored in a thermally insulated container and the gas is suddenly compressed to $...

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Width of one of the two slits in a Young's double slit interference experiment is half of the other slit....

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Two cylindrical rods $A$ and $B$ made of different materials, are joined in a straight line. The ratios of lengths,...

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Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height...

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The truth table corresponding to the circuit given below is :

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An inductor of reactance $100 \Omega$, a capacitor of reactance $50 \Omega$, and a resistor of resistance $50 \Omega$ are...

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A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20...

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A block of mass 1 kg , moving along $x$ with speed $v_i=10 \mathrm{~m} / \mathrm{s}$ enters a rough region...

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A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a...

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The electric field in a region is given by $\overrightarrow{\mathrm{E}}=(2 \hat{i}+4 \hat{j}+6 \hat{k}) \times 10^3 \mathrm{~N} / \mathrm{C}$. The flux...

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A block of mass 2 kg is attached to one end of a massless spring whose other end is fixed...

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$M$ and $R$ be the mass and radius of a disc. A small disc of radius $R / 3$ is...

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Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that,...

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A parallel plate capacitor has charge $5 \times 10^{-6} \mathrm{C}$. A dielectric slab is inserted between the plates and almost...

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Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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A dipole with two electric charges of $2 \mu \mathrm{C}$ magnitude each, with separation distance $0.5 \mu \mathrm{~m}$, is placed...

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Two cylindrical vessels of equal cross sectional area of $2 \mathrm{~m}^2$ contain water upto heights 10 m and 6 m...

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A capillary tube of radius 0.1 mm is partly dipped in water (surface tension $70 \mathrm{dyn} / \mathrm{cm}$ and glass...

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A motor operating on 100 V draws a current of 1 A. If the efficiency of the motor is $...

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Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio...

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Displacement of a wave is expressed as $x(t)=5 \cos \left(628 \mathrm{t}+\frac{\pi}{2}\right) \mathrm{m}$. The wavelength of the wave when its velocity...

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A mirror is used to produce an image with magnification of $\frac{1}{4}$. If the distance between object and its image...

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The helium and argon are put in the flask at the same room temperature (300K). The ratio of average kinetic...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason Assertion A...

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There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains...

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A particle is projected with velocity $u$ so that its horizontal range is three times the maximum height attained by...

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The dimension of $\sqrt{\frac{\mu_0}{\epsilon_0}}$ is equal to that of : ( $\mu_0=$ Vacuum permeability and $\varepsilon_0=$ Vacuum permittivity)

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A particle moves along the $x$-axis and has its displacement $x$ varying with time t according to the equation: $$...

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There are two vessels filled with an ideal gas where volume of one is double the volume of other. The...

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The equation of a wave travelling on a string is $y=\sin [20 \pi x+10 \pi t]$, where $x$ and $t$...

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An object with mass 500 g moves along x -axis with speed $v=4 \sqrt{x} \mathrm{~m} / \mathrm{s}$. The force acting...

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Pressure of an ideal gas, contained in a closed vessel, is increased by $0.4 \%$ when heated by $1^{\circ} \mathrm{C}$....

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Consider two blocks A and B of masses $m_1=10 \mathrm{~kg}$ and $m_2=5 \mathrm{~kg}$ that are placed on a frictionless table....

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Match List - I with List - II. Choose the correct answer from the options given below :

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A block of mass 25 kg is pulled along a horizontal surface by a force at an angle with the...

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An ideal gas exists in a state with pressure $P_0$, volume $V_0$. It is isothermally expanded to 4 times of...

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In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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A metallic ring is uniformly charged as shown in figure. AC and BD are two mutually perpendicular diameters. Electric field...

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A monochromatic light of frequency $5 \times 10^{14} \mathrm{~Hz}$ travelling through air, is incident on a medium of refractive index...

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Match List - I with List - II. Choose the correct answer from the options given below :

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A magnetic dipole experiences a torque of $80 \sqrt{3} \mathrm{Nm}$ when placed in uniform magnetic field in such a way...

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Consider the following logic circuit. The output is Y = 0 when :

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The displacement x versus time graph is shown below. (A)The average velocity during 0 to 3 s is $...

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Which one of the following forces cannot be expressed in terms of potential energy?

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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A radioactive material first decays into Q and then Q decays to non-radioactive material . Which of the following figure...

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Given below are two statements : Statement (I): The dimensions of Planck's constant and angular momentum are same. Statement (II)...

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In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15...

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Three parallel plate capacitors $C_1, C_2$ and $C_3$ each of capacitance $5 \mu \mathrm{~F}$ are connected as shown in figure....

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A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex...

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Consider a rectangular sheet of solid material of length $l=9 \mathrm{~cm}$ and width $\mathrm{d}=4 \mathrm{~cm}$. The coefficient of linear expansion...

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A transparent block A having refractive index $\mu=1.25$ is surrounded by another medium of refractive index $\mu=1.0$ as shown in...

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An object is kept at rest at a distance of 3R above the earth's surface where is earth's radius. The...

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The unit of $\sqrt{\frac{2 \mathrm{I}}{\epsilon_0 \mathrm{C}}}$ is : $\mathrm{I}=$ intensity of an electromagnetic wave, C : speed of light)

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A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear...

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An electric bulb rated as 100W-220V is connected to an ac source of rms voltage 220 V. The peak value...

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A photo-emissive substance is illuminated with a radiation of wavelength $\lambda_i$ so that it releases electrons with de-Broglie wavelength $\lambda_e$....

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Consider a n-type semiconductor in which $n_e$ and $n_h$ are number of electrons and holes, respectively. (A) Holes are minority...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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A wheel is rolling on a plane surface. The speed of a particle on the highest point of the rim...

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A helicopter flying horizontally with a speed of at an altitude of 2 km , drops an object at an...

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A solid steel ball of diameter 3.6 mm acquired terminal velocity $2.45 \times 10^{-2} \mathrm{~m} / \mathrm{s}$ while falling under...

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For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal...

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Better method for preparation of BeF2, among the following is: (1) $\left(\mathrm{NH}_4\right)_2 \mathrm{BeF}_4 \xrightarrow{\Delta} \mathrm{BeF}_2$ (2) $\mathrm{BeH}_2+\mathrm{F}_2 \xrightarrow{\Delta} \mathrm{BeF}_2$ (3)...

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An electron revolves around an infinite cylindrical wire having uniform linear change density $2 \times 10^{-8} \mathrm{Cm}^{-1}$ in circular path...

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If the maximum load carried by an elevator is 1400 kg ( 600 kg - Passenger + 800 kg -...

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A force of $-P \hat{k}$ acts on the origin of the coordinate system. The torque about the point $(2,-3)$ is...

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A rectangular parallelopiped is measured as $1 \mathrm{~cm} \times 1 \mathrm{~cm} \times 100 \mathrm{~cm}$. If its specific resistance is $...

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A straight wire AB of mass 40 g and length 50 cm is suspended by a pair of flexible leads...

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A point object, ‘O’ is placed in front of two thin symmetrical coaxial convex lenses L1 and L2 with focal...

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Two plates A and B have thermal conductivities $84 \mathrm{Wm}^{-1} \mathrm{~K}^{-1}$ and $126 \mathrm{Wm}^{-1} \mathrm{~K}^{-1}$ respectively. They have same surface...

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A straight wire carrying a current of 14 A is bent into a semicircular are of radius 2.2 cm as...

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A car accelerates from rest to u m/s. The energy spent in this process is E J. The energy required...

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A body of mass 500 g moves along x-axis such that it’s velocity varies with displacement x according to the...

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The logic operations performed by the given digital circuit is equivalent to:

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Figure below shows a liquid being pushed out of the tube by a piston having area of cross section 2.0...

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A light rope is wound around a hollow cylinder of mass 5 kg and radius 70 cm. The rope is...

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If 917 Å be the lowest wavelength of Lyman series then the lowest wavelength of Balmer series will be ____...

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In an experiment with sonometer when a mass of 180 g is attached to the string, it vibrates with fundamental...

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An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the crosssectional area $24 \mathrm{~cm}^2$....

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In the network shown below, the charge accumulated in the capacitor in steady state will be :

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Three point charges $q,-2 q$ and $2 q$ are placed on $x$-axis at a distance $x=0, x=\frac{3}{4} R$ and $x=R$...

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An atom absorbs a photon of wavelength 500 nm and emits another photon of wavelength 600 nm. The net energy...

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A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to...

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The mean free path of molecules of a certain gas at STP is 1500d, where d is the diameter of...

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Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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In a Young's double slits experiment, the ratio of amplitude of light coming from slits is 2:1. The ratio of...

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In the equation $\left[X+\frac{a}{Y^2}\right][Y-b]=R T, X$ is pressure, $Y$ is volume, $R$ is universal gas constant and $T$ is temperature....

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A 10$\mu \mathrm{C}$ charge is divided into two parts and placed at 1 cm distance so that the repulsive force...

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A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1...

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Given below are two statements: Statement I : Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the...

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The ratio of magnetic field at the centre of a current carrying coil of radius $r$ to the magnetic field...

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A square loop of side 2.0 cm is placed inside a long solenoid that has 50 turns per centimetre and...

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To radiate EM signal of wavelength $\lambda$ with high efficiency, the antennas should have a minimum size equal to :

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Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature...

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A bar magnet is released from rest along the axis of a very long vertical copper tube. After some time...

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A 600 pF capacitor is charged by 200 V supply. It is then disconnected from the supply and is connected...

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A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity...

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If each diode has a forward bias resistance of $25 \Omega$ in the below circuit, Which of the following options...

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A body of mass 5 kg is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. Now a force of 2...

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Given below are two statements: Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor...

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A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3 m/s (as shown...

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Two planets A and B of radii R and 1.5 R have densities $\rho$ and $\rho / 2$ respectively. The...

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A message signal of frequency 3kHz is used to modulate a carrier signal of frequency 1.5 MHz. The bandwidth of...

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Two projectiles are projected at 30° and 60° with the horizontal with the same speed. The ratio of the maximum...

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A steel rod of length 1 m and cross sectional area $10^{-4} \mathrm{~m}^2$ is heated from $0^{\circ} \mathrm{C}$ to $...

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The distance travelled by an object in time t is given by $s=(2.5) t^2$. The instantaneous speed of the object...

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Young’s moduli of the material of wires A and B are in the ratio of 1 : 4, while its...

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The number density of free electrons in copper is nearly $8 \times 10^{28} \mathrm{~m}^{-3}$. A copper wire has its area...

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In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z-axis...

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In a metallic conductor, under the effect of applied electric field, the free electrons of the conductor

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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The ratio of wavelength of spectral lines $\mathrm{H}_\alpha$ and $\mathrm{H}_\beta$ in the Balmer series is $\_\_\_\_$ .

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For a periodic motion represented by the equation $Y=\sin \omega t+\cos \omega t$ The amplitude of the motion is

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A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string...

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The variation of stopping potential (V0) as a function of the frequency (v) of the incident light for a metal...

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A series combination of resistor of resistance $100 \Omega$, inductor of inductance 1 H and capacitor of capacitance $...

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The initial pressure and volume of an ideal gas are $P_0$ and $V_0$. The final pressure of the gas when...

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The power radiated from a linear antenna of length $(\ell)$ is proportional to (Given, $\lambda=$ Wavelength of wave):

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The ratio of intensities at two points $P$ and $Q$ on the screen in a Young's double slit experiment where...

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A passenger sitting in a train A moving at 90 km/h observes another train B moving in the opposite direction...

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A bullet of mass 0.1 kg moving horizontally with speed $400 \mathrm{~ms}^{-1}$ hits a wooden block of mass 3.9 kg...

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A gas is compressed adiabatically, which one of the following statement is NOT true.

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A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to...

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The amplitude of magnetic field in an electromagnetic wave propagating along y -axis is $6.0 \times 10^{-7} \mathrm{~T}$. The maximum...

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Given below are two statements : Statement I : For a planet, if the ratio of mass of the planet...

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An emf of 0.08 V is induced in a metal rod of length 10 cm held normal to a uniform...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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In the network shown below, the charge accumulated in the capacitor in steady state will be :

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The time period of a satellite, revolving above earth’s surface at a height equal to R will be

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In photo electric effect A. The photocurrent is proportional to the intensity of the incident radiation. B. Maximum Kinetic energy...

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Given below are two statements: Statement-I: Rotation of the earth shows effect on the value of acceleration due to gravity...

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The output from a NAND gate having inputs A and B given below will be.

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Given below are two statements; one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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The width of fringe is 2 mm on the screen in a double slits experiment for the light of wavelength...

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The distance between two plates of a capacitor is $d$ and its capacitance is $C_1$, when air is the medium...

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The waves emitted when a metal target is bombarded with high energy electrons are

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R...

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A uniform disc of mass 0.5 kg and radius r is projected with velocity 18 m/s at t = 0...

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Given below are two statements: Statement-I: Area under velocity- time graph gives the distance travelled by the body in a...

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Given below are two statements: Statement-I: For diamagnetic substance $-1 \leq \chi \leq 0$, where $\chi$ is the magneticsusceptibility. Statement-II:...

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In an experiment with Vernier callipers of least count 0.1 mm, when two jaws are joined together the zero of...

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A stone tied to 180 cm long string at its end is making 28 revolutions in horizontal circle in every...

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A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T. Neglecting all vibrational...

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The acceleration due to gravity at height h above the earth if h

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The temperature at which the kinetic energy of oxygen molecules becomes double than its value at $27^{\circ} \mathrm{C}$ is

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In an ac generator, a rectangular coil of 100 turns each having area $14 \times 10^{-2} \mathrm{~m}^2$ is rotated at...

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The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h...

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As shown in figure, a cuboid lies in a region with electric field $E=2 x^2 \hat{i}-4 y \hat{j}+6 \hat{k}$ N/C....

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If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will...

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A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the influence of a source...

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A car $P$ travelling at $20 \mathrm{~ms}^{-1}$ sounds its horn at a frequency of 400 Hz . Another car $Q$...

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Every planet revolves around the sun in an elliptical orbit : A. The force acting on a planet is inversely...

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Given below are two statements : Statement I : Stopping potential in photoelectric effect does not depend on the power...

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The resistance of a wire is 5$\Omega$ . It’s new resistance in ohm if stretched to 5 times of it’s...

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Two objects are projected with same velocity ‘u’ however at different angles$\alpha$ and $\beta$ with the horizontal. If$\alpha+\beta=90^{\circ}$, the ratio...

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The velocity of a particle executing SHM varies with displacement (x) as $4 v^2=50-x^2$.. The time period of oscillations is...

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A hydraulic automobile lift is designed to lift vehicles of mass 5000 kg . The area of cross section of...

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The equivalent resistance between A and B as shown in figure is:

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A 2 meter long scale with least count of 0.2 cm is used to measure the locations of objects on...

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A radio-active material is reduced to $1 / 8$ of its original amount in 3 days. If $...

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The distance travelled by a particle is related to time t as$x=4 t^2$. The velocity of the particle at t...

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If the potential difference between B and D is zero, the value of x is $\Omega$. The value of n...

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The trajectory of projectile, projected from the ground is given by $y=x-\frac{x^2}{20}$. Where $x$ and $y$ are measured in meter....

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For a given transistor amplifier circuit in CE configuration $\mathrm{V}_{c c}=1 \mathrm{~V}, \mathrm{R}_{\mathrm{G}}=1 \mathrm{k} \Omega, \mathrm{R}_{\mathrm{b}}=100 \mathrm{k} \Omega$ and $\beta=$...

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A wire of length 1 m moving with velocity 8 m/s at right angles to a magnetic field of 2T....

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A faulty thermometer reads 5°C in melting ice and 95°C in steam. The correct temperature on absolute scale will be...

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A body of mass is taken from earth surface to the height h equal to twice the radius of earth...

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For particle P revolving round the centre O with radius of circular path r and angular velocity , as shown...

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A person travels $x$ distance with velocity $v_1$ and then $x$ distance with velocity $v_2$ in the same direction ....

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Electric potential at a point ' P ' due to a point charge of $5 \times 10^{-9} \mathrm{C}$ is 50...

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Consider the following radioactive decay process The mass number and the atomic number A6 are given by :

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If two charges $q_1$ and $q_2$ are separated with distance ' $d$ ' and placed in a medium of dielectric...

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Given below are two statements : Statement I : If the Brewster's angle for the light propagating from air to...

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As shown in the figure, a network of resistors is connected to a battery of 24 V with an internal...

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Match List I with List II Choose the correct answer from the options given below :

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A null point is found at 200 cm in potentiometer when cell in secondary circuit is shunted by $5 \Omega$....

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A travelling wave is described by the equation y(x, t) = [0.05 sin (8x – 4t] m. The velocity of...

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A circular loop of radius r is carrying current I A. The ratio of magnetic field at the centre of...

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If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector...

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Match List I with List II Choose the correct answer from the options given below

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A current carrying rectangular loop PQRS is made of uniform wire. The length PR = QS = 5 cm and...

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Unpolarised light is incident on the boundary between two dielectric media, whose dielectric constants are 2.8 (medium -1 ) and...

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R...

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As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the...

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Match List I with List II: Choose the correct answer from the options given below :

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A modulating signal is a square wave, as shown in the figure. If the carrier wave is given as $...

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1 g of a liquid is converted to vapour at $3 \times 10^5 \mathrm{~Pa}$ pressure. If $10 \%$ of the...

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A 100 m long wire having cross-sectional area $6.25 \times 10^{-4} \mathrm{~m}^2$ and Young’s modulus is $10^{10} \mathrm{Nm}^{-2}$ is subjected...

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A metal block of base area $0.20 \mathrm{~m}^2$ is placed on a table, as shown in figure. A liquid film...

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The weight of a body at the surface of earth is 18 N. The weight of the body at an...

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An inductor of inductance $2 \mu \mathrm{H}$ is connected in series with a resistance, a variable capacitor and an AC...

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From the photoelectric effect experiment, following observations are made. Identify which of these are correct A. The stopping potential depends...

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A particle executes simple harmonic motion between x = –A and$x=+A$. If time taken by particle to go from$x=0$ to...

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A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration...

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For a charged spherical ball, electrostatic potential inside the ball varies with r as $\mathrm{V}=2 a \mathrm{r}^2+\mathrm{b}$. Here, a and...

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Two bodies are projected from ground with same speeds $40 \mathrm{~ms}^{-1}$ at two different angles with respect to horizontal. The...

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The displacement equations of two interfering waves are given by $y_1=10 \sin \left(\omega t+\frac{\pi}{3}\right) \mathrm{cm}$ and $...

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In an experiment of measuring the refractive index of a glass slab using travelling microscope in physics lab, a student...

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Two parallel plate capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ each having capacitance of $10 \mu \mathrm{~F}$ are individually charged by a 100...

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Match List I with List II. Choose the correct answer from the options given below :

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A particle of mass 100 g is projected at time $\mathrm{t}=0$ with a speed $20 \mathrm{~ms}^{-1}$ at an angle $45^{\circ}$...

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The energy levels of an atom is shown is figure. Which one of these transitions will result in the emission...

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For the given circuit, in the steady state, $\left|\mathrm{V}_{\mathrm{B}}-\mathrm{V}_{\mathrm{D}}\right|=$ $\_\_\_\_$ V.

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When two resistance $\mathrm{R}_1$ and $\mathrm{R}_2$ connected in series and introduced into the left gap of a meter bridge and...

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If the binding energy of ground state electron in a hydrogen atom is 13.6 eV , then, the energy required...

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A square loop of area $25 \mathrm{~cm}^2$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic...

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Two discs of same mass and different radii are made of different materials such that their thicknesses are 1 cm...

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A point charge of 10 μC is placed at the origin. At what location on the X-axis should a point...

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A ball is dropped from a height of 20 m. If the coefficient of restitution for the collision between ball...

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A water heater of power 2000 W is used to heat water. The specific heat capacity of water is $...

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The equation of a circle is given by $x^2+y^2=a^2$, where $a$ is the radius. If the equation is modified to...

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Two light waves of wavelengths 800 and 600 nm are used in Young's double slit experiment to obtain interference fringes...

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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A series LCR circuit consists of R $=80 \Omega \mathrm{X}_{\mathrm{L}}=100 \Omega$ and $\mathrm{X}_{\mathrm{C}}=40 \Omega$. The input voltage is $...

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Consider a block kept on an inclined plane (inclined at 45°) as shown in the figure. If the force required...

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Given below are two statements: Statement I: In a typical transistor, all three regions emitter, base and collector have same...

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The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite...

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For the given figures, choose the correct options:

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A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute with...

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The surface of water in a water tank of cross section area $750 \mathrm{~cm}^2$ on the top of a house...

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Statement I : When a Si sample is doped with Boron, it becomes P type and when doped by Arsenic...

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A Spherical ball of radius 1mm and density 10.5 g/cc is dropped in glycerine of coefficient of viscosity 9.8 poise...

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A cubical volume is bounded by the surfaces $x=0, x=a, y=0, y=a, z=0, z=a$. The electric field in the region...

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As shown in the figure, in Young's double slit experiment, a thin plate of thickness $\mathrm{t}=10 \mid \mathrm{a} \cdot \mathrm{m}$...

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A convex lens of refractive index 1.5 and focal length 18 cm in air is immersed in water. The change...

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A hypothetical gas expands adiabatically such that its volume changes from 08 litres to 27 litres. If the ratio of...

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Three identical resistors with resistance $\mathrm{R}=12 \Omega$ and two identical inductors with sell inductance L = 5 mH are connected...

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In the given circuit the value of $\left|\frac{I_1+I_3}{I_2}\right|$ is:

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Heat energy of 184 kJ is given to ice of mass 600 g at $-12^{\circ} \mathrm{C}$, Specific heat of ice...

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A block is fastened to a horizontal spring. The block is pulled to a distance $x=10 \mathrm{~cm}$ from its equilibrium...

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A single turn current loop in the shape of a right angle triangle with sides 5 cm, 12 cm, 13...

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A body of mass 10 kg is moving with an initial speed of $20 \mathrm{~m} / \mathrm{s}$. The body stops...

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Given below are two statements: Statement I: Electromagnetic waves are not deflected by electric and magnetic field. Statement IIn: The...

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Match List I with List II : Choose the correct answer from the options given below :

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A square shaped coil of area $70 \mathrm{~cm}^2$ having 600 turns rotates in a magnetic field of $0.4 \mathrm{wbm}^{-2}$, about...

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If a copper wire is stretched to increase its length by 20°%. The percentage increase in resistance of the wire...

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Considering a group of positive charges, which of the following statements is correct?

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A scientist is observing a bacteria through a compound microscope. For better analysis and to improve its resolving power he...

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Nucleus a having $Z=17$ and equal number of protons and neutrons has 1.2 MeV binding energy per nucleon. Another nucleus...

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Under the same load, wire $A$ having length 5.0 m and cross section $2.5 \times 10^{-5} \mathrm{~m}^2$ stretches uniformly by...

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As shown in the figure, a point charge Q is placed at the centre of conducting spherical shell of inner...

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Moment of inertia of a dise of mass $M$ and radius ' $R$ ' about any of its diameter is...

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A body of mass 1 kg begins to move under the action of a time dependent force $...

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The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3rd orbit will be

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With the help of potentiometer, we can determine the value of emf of a given cell. The sensitivity of the...

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A force $F=\left(5+3 y^2\right)$ acts on a particle in the $y$-direction, where $F$ is newton and $y$ is in meter....

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Match List–I with List–II Choose the correct answer from the option given below:

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A parallel plate capacitor with air between the plate has a capacitance of 15pF. The separation between the plate becomes...

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The electric current in a circular coil of four turns produces a magnetic induction 32 T at its centre. The...

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The energy released per fission of nucleus of 240X is 200 MeV. The energy released if all the atoms in...

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For a train engine moving with speed of $20 \mathrm{~ms}^{-1}$ the driver must apply brakes at a distance of 500...

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An alternating voltage source V = 260 sin (628t) is connected across a pure inductor of 5 mH. Inductive reactance...

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C P and Q is shown in the figure. Between upper fixed point and lower fixed point there are 150...

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The modulation index for an A.M. wave having maximum and minimum peak to peak voltages of 14 mV and 6...

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A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass...

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The threshold frequency of metal is $f_0$. When the light of frequency $2 f_0$ is incident on the metal plate,...

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Match List–I with List–II Choose the correct answer from the options given below:

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A point charge 2 × $10^{-2}$ C is moved from P to S in a uniform electric field of 30...

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A uniform solid cylinder with radius R and length L has moment of inertia I1, about the axis of cylinder....

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The ratio of average electric energy density and total average energy density of electromagnetic wave is:

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A body weight W, is projected vertically upwards from earth's surface to reach a height above the earth which is...

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An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin....

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If two vectors $\vec{P}=\hat{i}+2 m \hat{j}+m \hat{k}$ and $\vec{Q}=4 \hat{i}-2 \hat{j}+m \hat{k}$ are perpendicular to each other. Then, the value...

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For three low density gases A, B, C pressure versus temperature graphs are plotted while keeping them at constant volume,...

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If the two metals $A$ and $B$ are exposed to radiation of wavelength 350 nm . The work functions of...

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In an Isothermal change, the change in pressure and volume of a gas can be represented for three different temperature;...

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The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity...

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If the velocity of light c, universal gravitational constant G and planck's constant h are chosen as fundamental quantities. The...

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Identify the correct statements from the following: (A) Work done by a man in lifting a bucket out of a...

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Given below are two statements Statement I: For transmitting a signal, size of antenna (l) should be comparable to wavelength...

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A photon is emitted in transition from n = 4 to n = 1 level in hydrogen atom. The corresponding...

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Figures (a), (b), (c) and (d) show variation of force with time. The impulse is highest in figure

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A fully loaded boeing aircraft has a mass of 5.4 × $10^5$ kg. Its total wing area is $500 \mathrm{~m}^2$.....

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Heat energy of 735 J is given to a diatomic gas allowing the gas to expand at constant pressure. Each...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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An electron of a hydrogen like atom, having $Z=4$, jumps from $4^{\text {th }}$ energy state to $2^{\text {nd }}$...

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A long conducting wire having a current I flowing through it, is bent into a circular coil of N turns....

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A thin prism P1 with an angle 6° and made of glass of refractive index 1.54 is combined with another...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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The escape velocities of two planets $A$ and $B$ are in the ratio $1: 2$. If the ratio of their...

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Choose the correct length $(\mathrm{L})$ versus square of time period $\left(\mathrm{T}^2\right)$ graph for a simple pendulum executing simple harmonic motion.

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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Choose the correct statement about Zener diode:

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For a moving coil galvanometer, the deflection in the coil is 0.05 rad when a current of 10 mA is...

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The velocity time graph of a body moving in a straight line is shown in figure. The ratio of displacement...

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The electric field and magnetic field components of an electromagnetic wave going through vacuum is described by $$ \begin{aligned} &...

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Force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases...

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Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R....

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The time taken by an object to slide down 45° rough inclined plane is n times as it takes to...

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A cell of emf 90 V is connected across series combination of two resistors each of $100 \Omega$ resistance. A...

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For a solid rod, the Young's modulus of elasticity is $3.2 \times 10^{11} \mathrm{Nm}^{-2}$ and density is $...

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A flask contains hydrogen and oxygen in the ratio of 2 : 1 by mass at temperature 27°C. The ratio...

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Equivalent resistance between the adjacent corners of a regular n-sided polygon of uniform wire of resistance R would be:

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For the given logic gates combination, the correct truth table will be

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The light rays from an object have been reflected towards an observer from a standard flat mirror, the image observed...

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A stone of mass 1 kg is tied to end of a massless string of length 1 m. If the...

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A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of...

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The Young's modulus of a steel wire of length 6 m and cross-sectional area $3 \mathrm{~mm}^2$, is $...

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A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\frac{5}{3}$ is...

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The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density (p) of liquid...

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A body is moving with constant speed, in a circle of radius 10 m. The body completes one revolution in...

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Two objects A and B are placed at 15 cm and 25 cm from the pole in front of a...

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The ratio of de-Broglie wavelength of an -particle and a proton accelerated from rest by the same potential is $\frac{1}{\sqrt{m}}$,...

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The H amount of thermal energy is developed by a resistor in 10 s when a current of 4A is...

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For a body projected at an angle with the horizontal from the ground, choose the correct statement. (1) Gravitational potential...

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When a beam of white light is allowed to pass through convex lens parallel to principal axis, the different colours...

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At 300 K, the rms speed of oxygen molecules is $\sqrt{\frac{\alpha+5}{\alpha}}$ times to that of its average speed in the...

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A metallic rod of length 'L' is rotated with an angular speed of ‘’ normal to a uniform magnetic field...

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A block of kg is attached to a string whose other end is attached to the wall. An unknown force...

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Given below are two statements: Statement I: Acceleration due to earth's gravity decreases as you go 'up' or 'down' from...

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Substance A has atomic mass number 16 and half life of 1 day. Another substance B has atomic mass number...

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A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field....

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A long solenoid is formed by winding 70 turns cm–1. If 2.0 A current flows, then the magnetic field produced...

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According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the...

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As shown in the figure, a long straight conductor with semicircular arc of radius $\frac{\pi}{10} \mathrm{~m}$ is carrying current $...

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https://competishun.com/given-below-are-two-statements-one-is-labelled-as-assertion-a-and-the-other-is-labelled-as-reason-r-brassertion-a-two-metallic-spheres-are-charged-to-the-same-potential-one-of-them-is-hollow-and-another-is-solid-and-both-have-the-same-radii-solid-sphere-will-have-lower-charge-than-the-hollow-one-brreason-r-capacitance-of-metallic-spheres-depend-on-the-radii-of-spheres-in-the-light-of-the-above-statements-choose-the-correct-answer-from-the-options-given-below/

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The logic gate equivalent to the given circuit diagram is :

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A Carnot engine operating between two reservoirs has efficiency $\frac{1}{3}$. When the temperature of cold reservoir raised by $x$, its...

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Match List I with List II Match List I with List II Choose the correct answer from the options given...

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Match List I with List II Choose the correct answer from the options given below:

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If the distance of the earth from Sun is 1.5 × $10^6$ km. Then the distance of an imaginary planet...

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An $\alpha$-particle, a proton and an electron have the same kinetic energy. Which one of the following is correct in...

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Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of...

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The electric potential at the centre of two concentric half rings of radii $\mathrm{R}_1$ and $\mathrm{R}_2$, having same linear charge...

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From the given transfer characteristic of a transistor in CE configuration, the value of power gain of this configuration is...

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A solid sphere is rolling on a horizontal plane without slipping. If the ratio of angular momentum about axis of...

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A fish rising vertically upward with a uniform velocity of $8 \mathrm{~ms}^{-1}$, observes that a bird is diving vertically downward...

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n the given figure, an inductor and a resistor are connected in series with a battery of emf E volt....

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A thin infinite sheet charge and an infinite line charge of respective charge densities $+\sigma$ and $+\lambda$ are placed parallel...

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The radius of $2^{\text {nd }}$ orbit of $\mathrm{He}^{+}$of Bohr's model is $\mathrm{r}_1$ and that of fourth orbit of Be...

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When a resistance of $5 \Omega$ is shunted with a moving coil galvanometer, it shows a fullscale deflection for a...

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64 identical drops each charged upto potential of 10 mV are combined to form a bigger dorp. The potential of...

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At a given point of time the value of displacement of a simple harmonic oscillator is given as $...

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A potential $V_0$ is applied across a uniform wire of resistance $R$. The power dissipation is $P_1$. The wire is...

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The elastic potential energy stored in a steel wire of length 20 m stretched through 2 cm is 80 J....

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Glycerine of density $1.25 \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ is flowing through the conical section of pipe. The area of crosssection...

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Two convex lenses of focal length 20 cm each are placed coaxially with a separation of 60 cm between them....

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${ }_{92}^{238} \mathrm{~A}|\rightarrow|_{90}^{234} \mathrm{~B}+{ }_2^4 \mathrm{D}+\mathrm{Q}$ In the given nuclear reaction, the approximate amount of energy released will be :...

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The current flowing through a conductor connected across a source is 2A and 1.2 A at 0oC and 100oC respectively....

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Two wires each of radius 0.2 cm and negligible mass, one made of steel and other made of brass are...

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In the given figure the total charge stored in the combination of capacitors is $100 \mu \mathrm{C}$. The value of...

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Which graph represents the difference between total energy and potential energy of a particle executing SHM Vs it’s distance from...

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A common example of alpha decay is The energy released $(Q)$ during the alpha decay of ${ }_{92}^{238} U$ is...

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10 resistors each of resistance 10 can be connected in such as to get maximum and minimum equivalent resistance. The...

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For the following circuit and given inputs A and B, choose the correct option for output ‘Y’

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Three concentric spherical metallic shells X, Y and Z of radius a, b and c respectively [a < b <...

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A block of mass 10 kg is moving along x-axis under the action of force F = 5x N. The...

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The decay constant for a radioactive nuclide is 1.5 × 10–5 s–1. Atomic of the substance is 60g mole–1, (NA...

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There is an air bubble of radius 1.0 mm in a liquid of surface tension $0.075 \mathrm{Nm}^{-1}$ and density 1000...

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A transverse harmonic wave on a string is given by y(x, t) = 5 sin(6t + 0.003x) where x and...

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Under isothermal condition, the pressure of a gas is given by \mathrm{P}=\mathrm{a} \mathrm{~V}^{-3}, where a is a constant and V...

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An electron in a hydrogen atom revolves around its nucleus with a speed of $6.76 \times 10^6 \mathrm{~ms}^{-1}$ in an...

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A 1m long metal rod XY completes the circuit as shown in figure. The plane of the circuit is perpendicular...

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The refractive index of a transparent liquid filled in an equilateral hollow prism is 2 . The angle of minimum...

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The figure shows a liquid of given density flowing steadily in horizontal tube of varying cross-section. Cross sectional areas at...

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A conducting circular loop is placed in a uniform magnetic field of 0.4 T with its plane perpendicular to the...

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The current required to be passed through a solenoid of 15 cm length and 60 turns in order to demagnetise...

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A solid sphere and a solid cylinder of same mass and radius are rolling on a horizontal surface without slipping....

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Two bodies are having kinetic energies in the ratio 16 : 9. If they have same linear momentum, the ratio...

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As per given figure $A, B$ and $C$ are the first, second and third excited energy level of hydrogen atom...

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For a rolling spherical shell, the ratio of rotational kinetic energy and total kinetic energy is $\frac{x}{5}$. The value of...

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A body of mass $(5 \pm 0.5) \mathrm{kg}$ is moving with a velocity of $(20 \pm 0.4) \mathrm{m} / \mathrm{s}$....

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For a certain organ pipe, the first three resonance frequencies are in the ratio of $1: 3: 5$ respectively. If...

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The fundamental frequency of vibration of a string stretched between two rigid support is 50 Hz . The mass of...

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The rms speed of oxygen molecule in a vessel at particular temperature is $\left(1+\frac{5}{x}\right)^{\frac{1}{2}} v$, where u is the average...

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In the circuit diagram shown in figure given below, the current flowing through resistance $3 \Omega$ is $\frac{x}{3} A$. is...

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Given below are two statements: Statement-I : When the frequency of an a.c. source in a series LCR circuit increases,...

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A network of four resistances is connected to 9V battery, as shown in figure. The magnitude of voltage difference between...

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Match List – I with List – II Choose the correct answer from the options given below:

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The ratio of escape velocity of a planet to the escape velocity of earth will be: Given: Mass of the...

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A projectile fired at 30° to the ground is observed to be at same height at time 3s and 5s...

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A 20 cm long metallic rod is rotated with 210 rpm about an axis normal to the rod passing through...

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A disc is rolling without slipping on a surface. The radius of the disc is R. At t = 0,...

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The position-time graphs for two students A and B returning from the school to their homes are shown in figure...

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In the given circuit, the current (I) through the battery will be :

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The magnetic field B crossing normally a square metallic plate of area $4 \mathrm{~m}^2$ is changing with time as shown...

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A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted...

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A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the particle is and...

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A single slit of width $a$ is illuminated by a monochromatic light of wavelength 600 nm . The value of...

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Two charges each of magnitude 0.01 C and separated by a distance of 0.4 mm constitute an electric dipole. If...

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Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R....

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The de Broglie wavelength of a molecule in a gas at room temperature (300 K) is 1. If the temperature...

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The length of wire becomes $\mathrm{I}_1$ and $\mathrm{I}_2$ when 100 N and 120 N tensions are applied respectively. If $...

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A thermodynamic system is taken through cyclic process. The total work done in the process is :

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A bullet 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun...

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Given below are two statement: one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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An object is placed at a distance of 12 cm in front of a plane mirror. The virtual and erect...

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The speed of a wave produced in water is given by $v=\lambda^{\mathrm{a}} \mathrm{g}^{\mathrm{b}} \rho^{\mathrm{c}}$. Where $\lambda, \mathrm{g}$ and $\rho$ are...

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A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with angular...

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A nucleus with mass number 242 and binding energy per nucleon as 7.6 MeV breaks into fragment each with mass...

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The difference between threshold wavelengths for two metal surfaces A and B having work function $\phi_A=9 e \mathrm{~V}$ and $...

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A ball is thrown vertically upward with an initial velocity of $150 \mathrm{~m} / \mathrm{s}$. The ratio of velocity after...

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The energy of an electromagnetic wave contained in a small volume oscillates with

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A current of 2 A flows through a wire of cross-sectional area $25.0 \mathrm{~mm}^2$. The number of free electrons in...

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A vector in $x$ - $y$ plane makes an angle of $30^{\circ}$ with $y$-axis. The magnitude of $y$-component of vector...

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As shown in the figure. a configuration of two equal point charges (q0 = +2μ C) is placed on an...

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A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when...

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The magnetic intensity at the centre of a long current carrying solenoid is found to be $1.6 \times 10^3 \mathrm{Am}^{-1}$....

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Match List I with List II of electromagnetic waves with corresponding wavelength range:Choose the correct answer from the options given...

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The equivalent capacitance of the combination shown is

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The ratio of powers of two motors is $\frac{3 \sqrt{x}}{\sqrt{x}+1}$, that are capable of raising 300 kg water in 5...

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A force $\vec{F}=(2+3 x) \hat{i}$ acts on a particle in the x direction where F is in newton and x...

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An oscillating LC circuit consists of a 75 mH inductor and a $1.2 \mu \mathrm{~F}$ capacitor. If the maximum charge...

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The position vector of a particle related to time $t$ is given by $$ \overrightarrow{\mathrm{r}}=\left(10 t \hat{\mathrm{i}}+15 t^2 \hat{\mathrm{j}}+7 \hat{\mathrm{k}}\right)...

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Given below are two statements: Statement I : A truck and a car moving with same kinetic energy are brought...

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The equation of wave is given by $Y=10^{-2} \sin 2 \pi\left(160 t-0.5 x+\frac{\pi}{4}\right)$ Where x and Y are in m...

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An air bubble of diameter 6 mm rises steadily through a solution of density $1750 \mathrm{~kg} / \mathrm{m}^3$ at the...

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Given below are two statements:

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Two trains ‘A’ and ‘B’ of length ‘l’ and ‘4l’ are travelling into a tunnel of length ‘L’ in parallel...

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The position of a particle related to time is given by $x=\left(5 t^2-4 t+5\right) m$. The magnitude of velocity of...

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An organ pipe 40 cm long is open at both ends. The speed of sound in air is $360 \mathrm{~ms}^{-1}$....

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The radius of curvature of each surface of a convex lens having refractive index 1.8 is 20 cm. The lens...

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The source of time varying magnetic field may be (A) a permanent magnet (B) an electric field changing linearly with...

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An engine operating between the boiling and freezing points of water will have 1. efficiency more than 27%

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The moment of inertia of semicircular ring about an axis, passing through the center and perpendicular to the plane of...

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A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and...

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Two satellites of masses m and 3m revolve around the earth in circular orbits of radii r & 3r respectively....

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A vessel of depth ‘d’ is half filled with oil of refractive index $\mathrm{n}_1$ and the other half is filled...

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Two radioactive elements A and B initially have same number of atoms. The half life of A is same as...

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The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is...

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Given below are two statements:

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A body cools from $80^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ in 5 minutes. The temperature of the surrounding is $20^{\circ} \mathrm{C}$....

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A wire of length ' $L$ ' and radius ' $r$ ' is clamped rigidly at one end. When the...

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Different combination of 3 resistors of equal resistance R are shown in the figures. The increasing order for power dissipation...

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An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g at...

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Two vertical parallel mirrors A and B are separated by 10 cm. A point object O is placed at a...

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Three force $F_1=10 \mathrm{~N}, F_2=8 \mathrm{~N}, F_3=6 \mathrm{~N}$ are acting on a particle of mass 5 kg . The forces...

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An electric dipole of dipole moment is $6.0 \times 10^{-6} \mathrm{Cm}$ placed in a uniform electric field of $...

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Consider two containers A and B containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The...

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Match List I with List II Choose the correct answer from the options given below:

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Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the...

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Proton $(P)$ and electron $(e)$ will have same de-Broglie wavelength when the ratio of their momentum is (assume, $\mathrm{m}_{\mathrm{p}}=1849 \mathrm{~m}$...

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Which of the following Maxwell’s equations is valid for time varying conditions but not valid for static conditions :

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The equivalent resistance of the circuit shown below between points a and b is:

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A wire of resistance $160 \Omega$ is melted and drawn in wire of one-fourth of its length. The new resistance...

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A cylindrical wire of mass $(0.4 \pm 0.01) \mathrm{g}$ has length $(8 \pm 0.04) \mathrm{cm}$ and radius $...

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Given below are two statements: Statements I : Astronomical unit (Au). Parsec (Pc) and Light year (ly) are units for...

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Match List I with List II:

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An air bubble of volume $1 \mathrm{~cm}^3$ rises from the bottom of a lake 40 m deep to the surface...

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Given below are two statements: Statement-I : The diamagnetic property depends on temperature. Statement-II : The included magnetic dipole moment...

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On a temperature scale ‘X’. The boiling point of water is 65° X and the freezing point is –15°X. Assume...

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The engine of a train moving with speed $10 \mathrm{~ms}^{-1}$ towards a platform sounds a whistle at frequency 400 Hz...

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Given below are two statement: Statement-wir if the number of turns in the coil of a moving coil galvanometer is...

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A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric...

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A proton and an $\alpha$-particle are accelerated from rest by 2 V and 4 V potentials, respectively. The ratio of...

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Two identical solid spheres each of mass 2 kg and radii 10 cm are fixed at the ends of a...

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Two forces having magnitude A and $\frac{\mathrm{A}}{2}$ are perpendicular to each other. The magnitude of their resultant is-

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The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean...

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A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they...

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If the $\mathrm{r} . \mathrm{m}$ s speed of chlorine molecule is $490 \mathrm{~m} / \mathrm{s}$ at $27^{\circ} \mathrm{C}$, the rass...

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The current sensitivity of moving coil galvanometer is increased by 25%. This increase is achieved only by changing in the...

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An ideal transformer with purely resistive load operates at 12 kV on the primary side. It supplies electrical energy to...

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The angular momentum for the electron in Bohr’s orbit is L. If the electron is assumed to revolve in second...

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Graphical variation of electric field due to a uniformly charged insulating solid sphere of radius R, with distance r from...

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In an $\mathrm{n}-\mathrm{p}-\mathrm{n}$ common emitter (CE) transistor the collector current changes from 5 mA to 16 mA for the change...

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The free space inside a current carrying toroid is filled with a material of susceptibility $2 \times 10^{-2}$. The percentage...

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A carrier wave of amplitude 15V is modulated by a sinusoidal base band signal of amplitude 3V. The ratio of...

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A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN...

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The amplitude of $15 \sin (1000 \pi \mathrm{t})$ is modulated by $10 \sin (4 \pi \mathrm{t})$ signal. The amplitude modulated...

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In this figure the resistance of the coil of galvanometer $G$ is $2 \Omega$. The emf of the cell is...

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A metallic surface is illuminated with radiation of wavelength $\lambda$, the stopping potential is $V_0$.. If the same surface is...

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The range of the projectile projected at an angle of 15° with horizontal is 50 m. If the projectile is...

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The radius of fifth orbit of the Li++ is _____ $\times 10^{-12} \mathrm{~m}$. Take radius of hydrogen atom $=0.51 \AA$

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Dimension of $\frac{1}{\mu_0 \epsilon_0}$ should be equal to

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A person driving car at a constant speed of 15 m/s is approaching a vertical wall. The person notices a...

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The critical angle for a denser-rarer interface is 45°. The speed of light in rarer medium is $...

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A zener diode of power rating 1.6 W is to be used as voltage regulator. If the zener diode has...

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Two satellites A and B move round the earth in the same orbit. The mass of A is twice the...

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Given below are two statements: Statement-I: If E be the total energy of a satellite moving around the earth, then...

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Two identical circular wires of radius 20 cm and carrying current $\sqrt{2} \mathrm{~A}$ are placed in perpendicular planes as shown...

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1 kg of water at 100°C is converted into steam at 100°C by boiling at atmospheric pressure. The volume of...

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For a nucleus having mass number A and atomic number Z A. The surface energy per nucleon (bs) = a1A2/3...

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Assuming the earth to be a sphere of uniform mass density, the weight of a body at a depth from...

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A particle of mass 10 g moves in a straight line with retardation 2x, where x is the displacement in...

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An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is 12...

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For the logic circuit shown, the output waveform at Y is:

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As per the given graph choose the correct representation for curve A and curve B. {Where $X_C$ = reactance of...

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A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive...

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Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio...

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A parallel plate capacitor of capacitance 2 F is charged to a potential V. The energy stored in the capacitor...

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A 12 V battery connected to a coil of resistance $6 \Omega$ through a switch, drives a constant current in...

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The logic performed by the circuit shown in figure is equivalent to :

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A body is released from a height equal to the radius (R) of the earth. The velocity of the body...

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A coin placed on a rotating table just slips when it is placed at a distance of 1 cm from...

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Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller than...

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The radii of two planets ‘A’ and ‘B’ are ‘R’ and ‘4R’ and their densities are $\rho$ and $...

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(A flask contains Hydrogen and Argon in the ratio 2:1 by mass. The temperature of the mixture is 30°C. The...

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The length of a metallic wire is increased by 20% and its area of cross section is reduced by 4%....

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For designing a voltmeter of range 50 V and an ammeter of range 10 mA using a galvanometer which has...

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At any instant the velocity of a particle of mass 500 g is $\left(2 t \hat{\mathrm{i}}+3 t^2 \hat{\mathrm{j}}\right) \mathrm{ms}^{-1}$. If...

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A pole is vertically submerged in swimming pool, such that it gives a length of shadow 2.15 m within water...

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The de Broglie wavelength of an electron having kinetic energy $E$ is $\lambda$. If the kinetic energy of electron becomes...

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A particle is placed at the point A of a frictionless track ABC as shown in figure. It is gently...

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A series LCR circuit is connected to an ac source of 220V, 50Hz. The circuit contain a resistance $...

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The half-life of a radioactive nucleus is 5 years, The fraction of the original sample that would decay in 15...

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The height of transmitting antenna is 180 m and the height of the receiving antenna is 245 m. The maximum...

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Two identical particles each of mass ‘m’ go round a circle of radius a under the action of their mutual...

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In a linear simple harmonic motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The acceleration and...

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An aluminium rod with Young's modulus $Y=7.0 \times 10^{10} \mathrm{~N} / \mathrm{m}^2$ undergoes elastic strain of $0.04 \%$. The energy...

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The electric field due to a short electric dipole at a large distance (r) from center of dipole on the...

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The weight of a body on the earth is 400 N. Then weight of the body when taken to a...

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Given below are two statements: [JEE-Main 08-4-2023_(M)_KTG_M] M0derate Statement-I: If heat is added to a system, its temperature must increase....

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In a reflecting telescope, a secondary mirror is used to:

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A TV transmitting antenna is 98 m high and the receiving antenna is at the ground level. If the radius...

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Form the v-t graph shown. The ratio of distance to displacement in 25s of motion

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A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed...

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The induced emf can be produced in a coil by A. moving the coil with uniform speed inside magnetic field...

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A mass m is attached to two springs as shown in figure. The spring constants of two springs are $\mathrm{K}_1$...

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Certain galvanometers have a fixed core made of non-magnetic metallic material. The function of this metallic material is

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The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is

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By what percentage will the transmission range of a TV tower be affected when the height of the tower is...

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The kinetic energy of an electron, $\alpha$-particle and a proton are given as 4K, 2K and K respectively. The de-Broglie...

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A charge particle moving in magnetic field B, has the components of velocity along B as well as perpendicular to...

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The electric field in an electromagnetic wave is given as $\vec{E}=20 \sin \omega\left(t-\frac{x}{c}\right) \vec{j} N C^{-1}$ Where $\omega$ and c...

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The range of the projectile projected at an angle of 15° with horizontal is 50 m. If the projectile is...

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The resistivity $(\rho)$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour

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For a uniformly charged thin spherical shell, the electric potential (V) radially away from the center (O) of shell can...

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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A planet has double the mass of the earth. Its average density is equal to the that of the earth....

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Two resistances are given as $\mathrm{R}_1=(10 \pm 0.5) \Omega$ and $\mathrm{R}_2=(10 \pm 0.5) \Omega$. The percentage error in the measurement...

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Given below are two statements; one is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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A zener diode of power rating 1.6 W is to be used as voltage regulator. If the zener diode has...

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A monochromatic light wave with wavelength $\lambda_1$ and frequency $V_1$ in air enters another medium. If the angle of incidence...

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A small block of mass 100 g is tied to a spring of spring constant 7.5 N/m and length 20...

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A particle is moving with constant speed in a circular path. When the particle turns by an angle $90^{\circ}$,the ratio...

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A source supplies heat to a system at the rate of 1000 W. If the system performs work at a...

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The number of air molecules per $\mathrm{cm}^3$ increased from $3 \times 10^{19}$ to $12 \times 10^{19}$. The ratio of collision...

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A small ball of mass M and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After some...

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Name the logic gate equivalent to the diagram attached

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For the plane electromagnetic wave given by $E=E_0 \sin (\omega t-k x)$ and $B=B_0 \sin (\omega t-k x)$, ), the...

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A thin uniform rod of length 2 m . cross sectional area ' $A$ ' and density ' d '...

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In an experiment for estimating the value of focal length of converging mirror, image of an object placed at 40...

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In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5 mm...

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For 1 mol of gas, the plot of pV vs p is shown below. p is the pressure and V...

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If and then, The unit vector in the direction of is . The value of x is

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An LCR series circuit of capacitance 62.5 nF and resistance of 50. is connected to an A.C. source of frequency...

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As shown in figures, three identical polaroids $P_1, P_2$ and $P_3$ are placed one after another. The pass axis of...

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In an alpha particle scattering experiment distance of closest approach for the $$ \alpha $$ particle is $...

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A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in figure). An electron...

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A point source of light is placed at the center of curvature of a hemispherical surface. The source emits a...

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A parallel beam of monochromatic light of wavelength 600nm passes through single slit of 0.4mm width. Angular divergence corresponding to...

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A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a...

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The distance between two consecutive points with phase difference of 60° in a wave of frequency 500 Hz is 6.0...

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ICM is moment of inertia of a circular disc about an axis (CM) passing through its center and perpendicular to...

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The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy will be 25%...

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In a metre bridge experiment the balance point in obtained if the gaps are closed by $2 \Omega$ and $...

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A horse rider covers half the distance with $5 \mathrm{~m} / \mathrm{s}$ speed. The remaining part of the distance was...

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Three vectors $\overrightarrow{\mathrm{OP}}, \overrightarrow{\mathrm{OQ}}$ and $\overrightarrow{\mathrm{OR}}$ each of magnitude A are acting as shown in figure. The resultant of the...

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A solid cylinder is released from rest from the top of an inclined plane of inclination 30° and length 60...

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The wavelength of the radiation emitted is 0 when an electron jumps from the second excited state to the first...

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A point charge q1 = 4q0 is placed at origin. Another point charge q2 = –q0 is placed at x...

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In the following circuit, the magnitude of current $l_1$, is $\_\_\_\_$ A.

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An object of mass 'm' initially at rest on a smooth horizontal plane starts moving under the action of force...

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A thin cylindrical rod of length 10 cm is placed horizontally on the principle axis of a concave mirror of...

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A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is...

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As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted....

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In Young's double slit experiment, two slits $\mathrm{S}_1$ and $\mathrm{S}_2$ are 'd' distance apart and the separation from slits to...

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A liquid column of height 0.04cm balances excess pressure of soap bubble of certain radius. If density of liquid is...

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In the given circuit, the equivalent resistance between the terminal A and B is _____ .

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A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height...

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A certain pressure 'P' is applied to 1 litre of water and 2 litre of a liquid separately. Water gets...

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A ray of light is incident from air on a glass plate having thickness $\sqrt{3} \mathrm{~cm}$ and refractive index $\sqrt{2}$....

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An electric field, $\overrightarrow{\mathrm{E}}=\frac{2 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+8 \hat{\mathrm{k}}}{\sqrt{6}}$ passes through the surface of $4 \mathrm{~m}^2$ area having unit vector $\hat{n}=\left(\frac{2 \hat{i}+\hat{j}+\hat{k}}{\sqrt{6}}\right)$...

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A 0.4 kg mass takes 8s to reach ground when dropped from a certain height ‘P’ above surface of earth....

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A light of energy 12.75 eV is incident on a hydrogen atom in its ground state. The atom absorbs the...

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A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m....

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A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic energy 2240 J...

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Resistance of a wire at $0^{\circ} \mathrm{C}, 100^{\circ} \mathrm{C}$ and $t^{\circ} \mathrm{C}$ is found to be$10 \Omega, 10.2 \Omega$ and...

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A bowl filled with very hot soup cools from 98°C to 86°C in 2 minutes when the room temperature is...

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A small particle moves to position $5 \hat{i}-2 \hat{j}+\hat{k}$ from its initial position $2 \hat{i}+3 \hat{j}-4 \hat{k}$ under the action...

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The general displacement of a simple harmonic oscillator is $x=A \sin \omega t$. Let $J$ be its time period. The...

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A body cools from 60ºC to 40ºC in 6 minutes. If, temperature of surroundings is 10ºC. Then, after the next...

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A uniform metallic wire carries a current 2 A. when 3.4 V battery is connected across it. The mass of...

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In an experiment to find emf of a cell using potentiometer, the length of null point for a cell of...

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Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the...

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A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and...

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A square loop PQRS having 10 turns, area $3.6 \times 10^{-3} \mathrm{~m}^2$ and resistance 100Ω is slowly and uniformly being...

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The figure represents the momentum time ( $p-t$ ) curve for a particle moving along an axis under the influence...

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Given below are two statements; one is labeled as Assertion A and the other is labelled as Reason R Assertion...

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A radioactive element ${ }_{92}^{242} \mathrm{X}$ emits two $\alpha$-particles, one electron and two positrons. The product nucleus is represented by...

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Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5 \Omega$....

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An electron with kinetic energy 5eV enters a region of uniform magnetic field of 3μT perpendicular to its direction. An...

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A block of mass 5 kg is placed at rest on a table of rough surface. Now, if a force...

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Match Column-I with Column-II: Choose the correct answer from the options given below:

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For hydrogen atom, $\lambda_i$ and $\lambda_2$ are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in...

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Which of the following statement is not correct in the case of light emitting diodes? A. It is a heavily...

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Math List I with List II

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The average kinetic energy of a molecule of the gas is

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A uniform thin metal plate of mass with dimensions is shown. The ratio of x and y coordinates of center...

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A lift of mass $M=500 \mathrm{~kg}$ is descending with speed of $2 \mathrm{~ms}^{-1}$. Its supporting cable begins to slip thus...

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$\left(P+\frac{a}{V^2}\right)(V-b)=R T$ represents the equation of state of some gases. Where P is the pressure, V is the volume, T...

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A ball of mass 200 g rests on a vertical post of height 20 m . A bullet of mass...

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Expression for an electric field is given by $\overrightarrow{\mathrm{E}}=4000 \mathrm{x}^2 \hat{\mathrm{i}} \frac{\mathrm{V}}{\mathrm{m}}$. The electric flux through the cube of side...

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In Young's double slits experiment, the position of 5th bright fringe from the central maximum is 5 cm. The distance...

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The mass of proton, neutron and helium nucleus are respectively 1.0073 u, 1.0087 u and 4.0015u. The binding energy of...

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The diameter of a sphere is measured using a vernier caliper whose 9 divisions of main scale are equal to...

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If the gravitational field in the space is given as $\left(-\frac{\mathrm{K}}{\mathrm{r}^2}\right)$. Taking the reference point to be at $\mathrm{r}=2 \mathrm{~cm}$...

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An inductor of 0.5 mH , a capacitor of $20 \mu \mathrm{~F}$ and resistance of $20 \Omega$ are connected in...

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A mercury drop of radius $10^(–3)$ m is broken into 125 equal size droplets. Surface tension of mercury is 0.45...

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Critical angle of incidence for a pair of optical media is $45^{\circ}$.. The refractive indices of first and second media...

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In a series $L R$ circuit with $X_L=R$. power factor is $P_1$. If a capacitor of capacitance $C$ with $X_C=X_L$...

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A solid sphere of mass 1 kg rolls without slipping on a plane surface. Its kinetic energy is $...

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A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of 120 V...

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Let $\sigma$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric...

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In a medium the speed of light wave decreases to 0.2 times to its speed in free space The ratio...

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A stationary particle breaks into two parts of masses $\mathrm{m}_{\mathrm{A}}$ and $\mathrm{m}_{\mathrm{B}}$ which move with velocities $v_A$ and $v_B$ respectively....

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In the figure given below, a block of mass $\mathrm{M}=490 \mathrm{~g}$ placed on a frictionless table is connected with two...

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The equivalent resistance between A and B of the network shown in figure:

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The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is,...

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A player caught a cricket ball of mass 150 g moving at a speed of 20 m/s. If the catching...

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The speed of a swimmer is $4 \mathrm{~km} \mathrm{~h}^{-1}$ in still water. If the swimmer makes his strokes normal to...

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A sample of gas at temperature T is adiabatically expanded to double its volume. The work done by the gas...

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A thin rod having a length of 1 m and area of cross-section $3 \times 10^{-6} \mathrm{~m}^2$ is suspended vertically...

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Correct Bernoulli's equation is (symbols have their usual meaning) :

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100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same...

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A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of $\lambda$ . An...

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If $R, X_L$. and $X_c$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:

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A child stands on the edge of the cliff 10 m above the ground and throws a stone horizontally with...

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Two polaroide A and B are placed in such a way that the pass-axis of polaroids are perpendicular to each...

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A steel wire with mass per unit length 7.0 × $10^(–3)$ kg m$^(–1)$ is under tension of 70 N. The...

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The amplitude of $15 \sin (1000 \pi \mathrm{t})$ is modulated by $10 \sin (4 \pi \mathrm{t})$ signal. The amplitude modulated...

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Which of the following frequencies does not belong to FM broadcast.

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If a radioactive element having half-life of 30 min is undergoing beta decay, the fraction of radioactive element remains undecayed...

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As per given figure, a weightless pulley P is attached on a double inclined frictionless surface. The tension in the...

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The threshold wavelength for photoelectric emission from a material is 5500Ǻ. Photoelectrons will be emitted, when this material is illuminated...

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If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be...

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A person observes two moving trains, ‘A’ reaching the station and ‘B’ leaving the station with equal speed of 30...

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The output waveform of the given logical circuit for the following inputs A and B as shown below, is

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A bicycle tyre is filled with air having pressure of 270 kPa at 27ºC. The approximate pressure of the air...

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The correct relation between $\mu=\frac{C_p}{C_v}$ and temperature $T$ is :

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Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion...

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A rod with circular cross-section area $2 \mathrm{~cm}^2$ and length 40 cm is wound uniformly with 400 turns of an...

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'n' polarizing sheets are arranged such that each makes an angle 45° with the proceeding sheet. An unpolarized light of...

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Electric field in a certain region is given by $\vec{E}=\left(\frac{A}{x^2} \hat{i}+\frac{B}{y^3} \hat{j}\right)$. The $S I$ unit of $A$ and $B$...

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If 1000 droplets of water of surface tension $0.07 \mathrm{~N} / \mathrm{m}$. having same radius 1 mm each, combine to...

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Surface tension of a soap bubble is $2.0 \times 10^{-2} \mathrm{Nm}^{-1}$. Work done to increase the radius of soap bubble...

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If earth has a mass nine times and radius twice to the of a planet $P$. Then $\frac{v_e}{3} \sqrt{x} \mathrm{~ms}^{-1}$...

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At a certain depth "d" below surface of earth, value of acceleration due to gravity becomes four times that of...

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Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B....

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Match the List–I with List–II. Choose the correct answer from the options given below:

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Two particles of equal mass ‘m’ move in a circle of radius ‘r’ under the action of their mutual gravitational...

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The drift velocity of electrons for a conductor connected in an electrical circuit is Vd . The conductor in now...

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Given below are two statements : Statement I: Acceleration due to gravity is different at different places on the surface...

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A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will...

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Two isolated metallic solid spheres of radii $R$ and $2 R$ are charged such that both have same charge density...

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Which of the following correctly represents the variation of electric potential (V) of a charged spherical conductor of radius (R)...

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An object moves with speed $v_1, v_2$ and $v_3$ along a line segment $\mathrm{AB}, \mathrm{BC}$ and CD respectively as shown...

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The pressure of a gas changes linearly with volume from A to B as shown in figure. If no heat...

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A block of mass m slides down the plane inclined at angle 30º with an acceleration g/4 . The value...

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A massless square loop, of wire of resistance 10 D . supporting a mass of I g . hangs vertically...

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Match the List I with List II Choose the correct answer from the options given below:

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The maximum potential energy of a block executing simple harmonic motion is 25 J .A is amplitude of oscillation. At...

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A stone is projected at angle 30º to the horizontal. The ratio of kinetic energy of the stone at point...

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The effect of increase in temperature on the number of electrons in conduction band (ne) and resistance of a semiconductor...

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Speed of an electron in Bohr's $7^{\text {th }}$ orbit for Hydrogen atom is $3.6 \times 10^6 \mathrm{~m} / \mathrm{s}$....

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A free neutron decays into a proton but a free proton does not decay into neutron. This is because

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In a Young's double slit experiment, two slits are illuminated with a light of wavelength 800 nm . The line...

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A small object at rest, absorbs a light pulse of power 20 mWX and duration 300 ns . Assuming speed...

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Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose...

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A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth...

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Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B....

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The initial speed of a projectile fired from ground is $u$. At the highest point during its motion, the speed...

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The ratio of the density of oxygen nucleus and helium nucleus is

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In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency...

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As shown in figure, a 70 kg garden roller is pushed with a force of $\vec{F}=200 \mathrm{~N}$ at an angle...

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Choose the correct relationship between Poisson ratio $(\sigma)$, bulk modulus $(\mathrm{K})$ and modulus of rigidity $(\eta)$ of a given solid...

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Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ‘R’ is placed inside...

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Match List I with List II

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As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other...

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The magnitude of magnetic induction at mid-point O due to current arrangement as shown in Fig will be :

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The root mean square velocity of molecules of gas is (1) Proportional to square of temperature $\left(\mathrm{T}^2\right)$. (2) Inversely proportional...

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A single current carrying loop of wire carrying current I flowing in anticlockwise direction seen from +ve z direction and...

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A parallel plate capacitor has plate area 40 cm2 and plates separation 2 mm. The space between the plates is...

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The charge flowing in a conductor changes with time as $\mathrm{Q}(\mathrm{t})=\alpha \mathrm{t}-\beta \mathrm{t}^2+\gamma \mathrm{t}^3$. Where $\alpha, \beta$ and $\gamma$ are...

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Ratio of thermal energy released in two resistor R and 3R connected in parallel in an electric circuit is

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If a source of electromagnetic radiation having power 15 kW produces $10^{16}$ photons per second, the radiation belongs to a...

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A car travels a distance of 'x' with speed V1 and then same distance 'x' with speed V2 in the...

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In a cuboid of dimension 2L × 2L × L, a charge q is placed at the centre of the...

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The pressure (P) and temperature (T) relationship of an ideal gas obeys the equation PT2 = constant. The volume expansion...

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Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout...

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A bar magnet with a magnetic moment $5.0 \mathrm{Am}^2$ is placed in parallel position relative to a magnetic field of...

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T is the time period of simple pendulum on the earth's surface. Its time period becomes x T when taken...

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Match List I with List II Choose the correct answer from the options given below:

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A Carnot engine with efficiency 50% takes heat from a source at 600 K. In order to increase the efficiency...

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An object of mass 8 kg is hanging from one end of a uniform rod CD of mass 2 kg...

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Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV. has a de–Broglie wavelength of...

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Two long straight wires P and Q carrying equal current 10A each were kept parallel to each other at 5...

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The mass defect in a particular reaction is 0.4 g . The amount of energy liberated is $...

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A particle performs simple harmonic motion with amplitude A. Its speed is increased to three times at an instant when...

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The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume...

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A small square loop of wire of side $\ell$ is placed inside a large square loop of wire of side...

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Two waves of intensity ratio $1: 9$ cross each other at a point. The resultant intensities at the point, when...

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A body starts falling freely from height H hits an inclined plane in its path at height h. As a...

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A solid circular disc of mass 50" " kg rolls along a horizontal floor so that its center of mass...

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Equivalent resistance of the following network is Ω.

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A parallel plate capacitor with plate separation 5 mm is charged up by a battery. It is found that on...

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An electron moves through a uniform magnetic field B ⃗=B_0 i ˆ+2B_0 j ˆT. At a particular instant of time,...

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When a metal surface is illuminated by light of wavelength λ, the stopping potential is 8" " V. When the...

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An artillery piece of mass M_1 fires a shell of mass M_2 horizontally. Instantaneously after the firing, the ratio of...

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Two conductors have the same resistances at but their temperature coefficients of resistance are and . The respective temperature coefficients...

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A coin is placed on a disc. The coefficient of friction between the coin and the disc is μ. If...

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A small steel ball is dropped into a long cylinder containing glycerine. Which one of the following is the correct...

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The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe....

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A coil is placed perpendicular to a magnetic field of 5000" " T. When the field is changed to 3000"...

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In the given arrangement of a doubly inclined plane two blocks of masses M and m are placed. The blocks...

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Two charges q and 3q are separated by a distance ' $r$ ' in air. At a distance $x$ from...

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For three vectors $\vec{A}=(-x \hat{\imath}-6 \hat{\jmath}-2 \hat{k}), \vec{B}=(-\hat{\imath}+4 \hat{\jmath}+3 \hat{k})$ and $\vec{C}=(-8 \hat{\imath}-\hat{\jmath}+3 \hat{k})$, if $\overrightarrow{\mathrm{A}} \cdot(\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{C}})=0$, them...

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A particle is doing simple harmonic motion of amplitude 0.06 m and time period 3.14 s. The maximum velocity of...

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A force is represented by $F=a x^2+b t^{1 / 2}$ Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $...

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A circular coil having 200 turns, $2.5 \times 10^{-4} \mathrm{~m}^2$ area and carrying 100$\mu \mathrm{A}$ current is placed in a...

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In a plane EM wave, the electric field oscillates sinusoidally at a frequency of $5 \times 10^{10} \mathrm{~Hz}$ and an...

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Radius of a certain orbit of hydrogen atom is 8.48Å. If energy of electron in this orbit is E/x, then...

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If the percentage errors in measuring the length and the diameter of a wire are 0.1% each. The percentage error...

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The given figure represents two isobaric processes for the same mass of an ideal gas, then

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A wire of resistance R and radius r is stretched till its radius became r/2. If new resistance of the...

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The refractive index of prism is $\mu=\sqrt{3}$ and the ratio of the angle of minimum deviation to the angle of...

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Four identical particles of mass $m$ are kept at the four corners of a square. If the gravitational force exerted...

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When a dc voltage of 100V is applied to an inductor, a de current of 5A flows through it. When...

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Four identical particles of mass $m$ are kept at the four corners of a square. If the gravitational force exerted...

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A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets...

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Three infinitely long charged thin sheets are placed as shown in figure. The magnitude of electric field at the point...

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If the wavelength of the first member of Lyman series of hydrogen is λ. The wavelength of the second member...

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If the radius of earth is reduced to three-fourth of its present value without change in its mass then value...

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In photoelectric experiment energy of 2.48eV irradiates a photo sensitive material. The stopping potential was measured to be 0.5 V....

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A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged...

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A small ball of mass m and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After sometime,...

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The refractive index of a prism with apex angle A is cot⁡A/2. The angle of minimum deviation is :

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An element $\Delta l=\Delta x \hat{i}$ is placed at the origin and carries a large current I=10 A. The magnetic...

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$$ \text { The relation between time ' } t \text { ' and distance ' } x \text {...

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A train starting from rest first accelerates uniformly up to a speed of 80 km/h for time t, then it...

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Four particles A, B, C, D of mass$\frac{m}{2}, m, 2 m, 4 m$, have same momentum, respectively. The particle with...

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Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio...

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The output Y of following circuit for given inputs is :

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A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance...

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A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as...

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A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v...

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Two planets A and B having masses m1 and m2 move around the sun in circular orbits of $r_1$ and...

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A sphere of relative density σ and diameter D has concentric cavity of diameter d. The ratio of D/d, if...

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A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is 1.42eV. The wavelength of light...

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Given below are two statements: Statement (I): When an object is placed at the centre of curvature of a concave...

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A light string passing over a smooth light pulley connects two blocks of masses $\mathrm{m}_1$ and $\mathrm{m}_2$ (where $\left.m_2>m_1\right)$. If...

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A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If electric field is...

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Young's modulus is determined by the equation given by $\mathrm{Y}=49000 \frac{\mathrm{~m}}{\ell} \frac{\text { dyne }}{\mathrm{cm}^2}$ where M is the mass...

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A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen...

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A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered...

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The correct truth table for the following logic circuit is :

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A clock has 75" " cm,60" " cm long second hand and minute hand respectively. In 30 minutes duration the...

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Paramagnetic substances: A. align themselves along the directions of external magnetic field. B. attract strongly towards external magnetic field. C....

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Given below are two statements : Statement I : In an LCR series circuit, current is maximum at resonance. Statement...

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Match List I with List II Choose the correct answer from the options given below :

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Two forces $\vec{F}_1$ and $\vec{F}_2$ are acting on a body. One force has magnitude thrice that of the other force...

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In the given circuit, the terminal potential difference of the cell is :

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The specific heat at constant pressure of a real gas obeying $\mathrm{PV}^2=\mathrm{RT}$ equation is :

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An elastic spring under tension of 3 N has a length a . Its length is b under tension 2...

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A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:

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The value of unknown resistance (x) for which the potential difference between B and D will be zero in the...

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$\sigma$ is the uniform surface charge density of a thin spherical shell of radius R. The electric field at any...

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Three capacitors of capacitances 25μF,30μF and 45μF are connected in parallel to a supply of 100 V. Energy stored in...

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Two wavelengths $\lambda_1$ and $\lambda_2$ are used in Young's double slit experiment $\lambda_1=450 \mathrm{~nm}$ and $\lambda_2=650 \mathrm{~nm}$. The minimum order...

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While measuring diameter of wire using screw gauge the following readings were noted. Main scale reading is 1" " mm...

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In the experiment to determine the galvanometer resistance by half-deflection method, the plot of 1/θ vs the resistance (R) of...

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A soap bubble is blown to a diameter of 7 cm . 36960erg of work is done in blowing it...

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Which of the following phenomena does not explain by wave nature of light. (A) reflection (B) diffraction (C) photoelectric effect...

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Twelve wires each having resistance $2 \Omega$ are joined to form a cube. A battery of 6 V emf is...

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An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of 20μF is...

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A alternating current at any instant is given by $\mathrm{i}=\left[6+\sqrt{56} \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)\right] \mathrm{A}$. The rms value of the...

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If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is ............ ×...

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Three bodies A,B and C have equal kinetic energies and their masses are 400g,1.2kg and 1.6kg respectively. The ratio of...

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Electromagnetic waves travel in a medium with speed of $1.5 \times 10^8 \mathrm{~ms}^{-1}$ The relative permeability of the medium is...

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A body moves on a frictionless plane starting from rest. If S_n is distance moved between t=n-1 and t =n...

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To project a body of mass m from earth's surface to infinity, the required kinetic energy is (assume, the radius...

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The density and breaking stress of a wire are 6× 〖10〗^4 " " kg/m^3 and 1.2×〖10〗^8 " " N/m^2 respectively....

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Three blocks M_1,M_2,M_3 having masses 4 kg,6 kg and 10 kg respectively are hanging from a smooth pully using rope...

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The magnetic field existing in a region is given by $\vec{B}=0.2(1+2 x) \hat{k} T$. A square loop of edge 50...

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The ratio of the shortest wavelength of Balmer series to the shortest wavelength of Lyman series for hydrogen atom is...

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A particle is moving in one dimension (along x axis) under the action of a variable force. It's initial position...

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A bullet of mass 50 g is fired with a speed 100m/s on a plywood and emerges with 40 m/s....

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The electric field between the two parallel plates of a capacitor of 1.5μF capacitance drops to one third of its...

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The current in a conductor is expressed as $I=3 t^2+4 t^3$, where I is in Ampere and t is in...

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A 2 A current carrying straight metal wire of resistance 1Ω, resistivity 2×〖10〗^(-6) Ωm, area of cross-section 10〖" " mm〗^2...

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To find the spring constant (k) of a spring experimentally, a student commits 2% positive error in the measurement of...

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In Young's double slit experiment, carried out with light of wavelength 5000Å , the distance between the slits is 0.3...

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A tuning fork resonates with a sonometer wire of length 1" " m stretched with a tension of 6N. When...

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An alternating voltage of amplitude 40 V and frequency 4kHz is applied directly across the capacitor of 12μF. The maximum...

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The identical spheres each of mass 2M are placed at the corners of a right angled triangle with mutually perpendicular...

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In the given figure R_1=10Ω,R_2=8Ω,R_3=4Ω and R_4=8Ω. Battery is ideal with emf 12" " V. Equivalent resistant of the circuit...

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A hydrogen atom changes its state from $n=3$ to $\mathrm{n}=2$. Due to recoil, the percentage change in the wave length...

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The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having...

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The heat absorbed by a system in going through the given cyclic process is :

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An infinite plane sheet of charge having uniform surface charge density $+\sigma_3 \mathrm{C} / \mathrm{m}^2$ is placed on $\mathrm{x}-\mathrm{y}$ plane....

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Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as 4.62s,4.632s,4.6s and...

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Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle θ with each other....

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The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20" "...

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A body of mass 50kg is lifted to a height of 20m from the ground in the two different ways...

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A rectangular loop of sides 12cm and 5cm, with its sides parallel to the x-axis and y-axis respectively moves with...

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A simple pendulum doing small oscillations at a place R height above earth surface has time period of T_1=4" "...

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In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source...

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A wooden block of mass 5 kg rests on soft horizontal floor. When an iron cylinder of mass 25 kg...

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The co-ordinates of a particle moving in $x-y$ plane are given by: $x=2+4 t, y=3 t+8 t^2$. The motion of...

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A regular polygon of 6 sides is formed by bending a wire of length 4π meter. If an electric current...

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Match list-I with list-II: (Where a = radius of planet orbit, r = radius of planet, M = mass of...

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P-T diagram of an ideal gas having three different densities $\rho_1, \rho_2, \rho_3$ (in three different cases) is shown in...

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Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in...

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A monochromatic light of wavelength 6000Å is incident on the single slit of width 0.01mm. If the diffraction pattern is...

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The value of net resistance of the network as shown in the given figure is :

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Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment...

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Consider a block and trolley system as shown in figure. If the coefficient of kinetic friction between the trolley and...

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If the collision frequency of hydrogen molecules in a closed chamber at 〖27〗^∘ C is Z, then the collision frequency...

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An infinitely long positively charged straight thread has a linear charge density $\lambda \mathrm{Cm}^{-1}$. An electron revolves along a circular...

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To measure the internal resistance of a battery, potentiometer is used. For $\mathrm{R}=10 \Omega$, the balance point is observed at...

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An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of...

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A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If...

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A body travels 102.5 m in $\mathrm{n}^{\text {th }}$ second and 115.0 m in $(\mathrm{n}+2)^{\text {th }}$ second. The acceleration...

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In hydrogen like system the ratio of coulombian force and gravitational force between an electron and a proton is in...

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A simple pendulum of length 1" " m has a wooden bob of mass 1" " kg. It is struck...

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The equation of stationary wave is : Which of the following is NOT correct

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The angle between vector Q ⃗ and the resultant of (2Q ⃗+2P ⃗) and (2Q ⃗-2P ⃗) is:

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The dimensional formula of angular impulse is :

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If a rubber ball falls from a height h and rebounds upto the height of h/2. The percentage loss of...

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Given below are two statements: Statement-I: Figure shows the variation of stopping potential with frequency (v) for the two photosensitive...

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A wooden block, initially at rest on the ground, is pushed by a force which increases linearly with time t....

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The radius (r), length (l) and resistance (R) of a metal wire was measured in the laboratory as r=(0.35±0.05)cm R=(100±10)...

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Given below are two statements : Statement-I: When a capillary tube is dipped into a liquid, the liquid neither rises...

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Which figure shows the correct variation of applied potential difference $(V)$ with photoelectric current $(I)$ at two different intensities of...

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In series LCR circuit, the capacitance is changed from C to 4C. To keep the resonance frequency unchanged, the new...

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If G be the gravitational constant and u be the energy density then which of the following quantity have the...

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An effective power of a combination of 5 identical convex lenses which are kept in contact along the principal axis...

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10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each...

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Following gates section is connected in a complete suitable circuit. For which of the following combination, bulb will glow (ON):

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On celcius scale the temperature of body increases by 40ºC. The increase in temperature on Fahrenheit scale is:

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Light emerges out of a convex lens when a source of light kept at its focus. The shape of wavefront...

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A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc...

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The de Broglie wavelengths of a proton and an α particle are λ and 2λ respectively. The ratio of the...

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The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8...

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A galvanometer has a resistance of 50Ω and it allows maximum current of 5mA. It can be converted into voltmeter...

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Given below are two statements : Statement I : When speed of liquid is zero everywhere, pressure difference at any...

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In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the...

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Which of the following nuclear fragments corresponding to nuclear fission between neutron $\left(\begin{array}{l}1 \\ 0\end{array} \mathrm{n}\right)$ and uranium isotope $...

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A parallel plate capacitor has a capacitance C=200pF. It is connected to 230" " V ac supply with an angular...

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The electric field in an electromagnetic wave is given by $\overrightarrow{\mathrm{E}}=\hat{\mathrm{i}} 40 \cos \omega\left(\mathrm{t}-\frac{\mathrm{z}}{\mathrm{c}}\right) \mathrm{NC}^{-1}$. The magnetic field induction of...

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A ball of mass 0.5kg is attached to a string of length 50cm. The ball is rotated on a horizontal...

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An electron is projected with uniform velocity along the axis inside a current carrying long solenoid. Then :

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Two identical capacitors have same capacitance C. One of them is charged to the potential V and other to the...

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A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement...

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A ceiling fan having 3 blades of length 80 cm each is rotating with an angular velocity of 1200rpm. The...

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The reading in the ideal voltmeter (V) shown in the given circuit diagram is

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In the given circuit if the power rating of Zener diode is 10" " mW, the value of series resistance...

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In a closed organ pipe, the frequency of fundamental note is 30Hz. A certain amount of water is now poured...

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If R is the radius of the earth and the acceleration due to gravity on the surface of earth is...

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Consider a Disc of mass 5 kg, radius 2 m, rotating with angular velocity of 10rad/s about an axis perpendicular...

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A capacitor of capacitance C and potential V has energy E. It is connected to another capacitor of capacitance 2C...

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The displacement and the increase in the velocity of a moving particle in the time interval of t to (t+1)s...

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With rise in temperature, the Young's modulus of elasticity

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The distance between object and its two times magnified real image as produced by a convex lens is 45cm. The...

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Each of three blocks P,Q and R shown in figure has a mass of 3kg. Each of the wire A...

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A electron of hydrogen atom on an excited state is having energy $E_n$ =-0.85eV. The maximum number of allowed transitions...

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Two cells are connected in opposition as shown. Cell $E_1$ is of 8V emf and 2Ω internal resistance; the cell...

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The horizontal component of earth's magnetic field at a place is $3.5 \times 10^{-5} T$. A very long straight conductor...

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A series L,R circuit connected with an ac source E=(25sin⁡1000t)V has a power factor of 1/√2. If the source of...

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At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^{\circ}$ C...

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A particle of mass m projected with a velocity ' u ' making an angle of $30^{\circ}$ with the horizontal....

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A spherical body of mass 100" " g is dropped from a height of 10" " m from the ground....

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The electrostatic potential due to an electric dipole at a distance ' r ' varies as :

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Two thermodynamical process are shown in the figure. The molar heat capacity for process A and B are $C_A$ and...

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A Zener diode of breakdown voltage 10V is used as a voltage regulator as shown in the figure. The current...

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An electric toaster has resistance of 60Ω at room temperature $\left(27^{\circ} \mathrm{C}\right)$. The toaster is connected to a 220 V...

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The gravitational potential at a point above the surface of earth is $-5.12 \times 10^7 \mathrm{~J} / \mathrm{kg}$ and the...

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Primary coil of a transformer is connected to 220V ac. Primary and secondary turns of the transforms are 100 and...

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The diffraction pattern of a light of wavelength 400 nm diffracting from a slit of width 0.2 mm is focused...

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If the wavelength of the first member of Lyman series of hydrogen is λ. The wavelength of the second member...

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Two insulated circular loop A and B radius ' a ' carrying a current of 'I' in the anti clockwise...

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A rigid wire consists of a semicircular portion of radius R and two straight sections. The wire is partially immerged...

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The refractive index of a prism with apex angle A is cot⁡A/2. The angle of minimum deviation is :

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The electric field of an electromagnetic wave in free space is represented as $\vec{E}=E_0 \cos (\omega t-k z) \hat{\imath}$. The...

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The relation between time ' t ' and distance ' x ' is t= αx^2+βx, where α and β are...

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The work function of a substance is 3.0eV. The longest wavelength of light that can cause the emission of photoelectrons...

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Young's modules of material of a wire of length 'L' and cross-sectional area is . If the length of the...

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A potential divider circuit is shown in figure. The output voltage $\mathrm{V}_0$ is

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All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration...

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Match List-I with List-II.

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In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces...

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An electron is moving under the influence of the electric field of a uniformly charged infinite plane sheet s having...

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When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to...

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A $16 \Omega$ wire is bend to form a square loop. A 9 V battery with internal resistance $1 \Omega$...

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In a double slit experiment shown in figure, when light of wavelength 400 nm is used, dark fringe is observed...

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The magnetic potential due to a magnetic dipole at a point on its axis situated at a distance of 20...

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A cylinder is rolling down on an inclined plane of inclination $60^{\circ}$. It's acceleration during rolling down will be $...

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A square loop of side 10 cm and resistance $0.7 \Omega$ is placed vertically in east-west plane. A uniform magnetic...

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A ball rolls off the top of a stairway with horizontal velocity $u$. The steps are 0.1 m high and...

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When a hydrogen atom going from $n=2$ to $n=1$ emits a photon, its recoil speed is $\frac{\mathrm{x}}{5} \mathrm{~m} / \mathrm{s}$....

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Two vessels A and B are of the same size and are at same temperature. A contains 1 g of...

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The explosive in a Hydrogen bomb is a mixture of ${ }_1 \mathrm{H}^2,{ }_1 \mathrm{H}^3$ and ${ }_3 \mathrm{Li}^6$ in...

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A capacitor of capacitance 100μF is charged to a potential of 12 V and connected to a 6.4mH inductor to...

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At what distance above and below the surface of the earth a body will have same weight, (take radius of...

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A thermodynamic system is taken from an original state A to an intermediate state B by a linear process as...

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A biconvex lens of refractive index 1.5 has a focal length of 20 cm in air. Its focal length when...

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The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24Ω is applied....

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The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is 25%...

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A galvanometer having coil resistance 10Ω shows a full scale deflection for a current of 3 mA. For it to...

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If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then...

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Match List I with List II Chose the correct answer from the options given below

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A block of mass 100 kg slides over a distance of 10 m on a horizontal surface. If the co-efficient...

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The resistance $\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}$ where $\mathrm{V}=(200 \pm 5) \mathrm{V}$ and $\mathrm{I}=(20 \pm 0.2) \mathrm{A}$, the percentage error in the measurement of...

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The potential energy function (in J ) of a particle in a region of space is given as $...

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A body starts moving from rest with constant acceleration covers displacement $S_1$ in first (p-1) seconds and $S_2$ in first...

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Two charges of 5Q and -2Q are situated at the points (3a,0) and (-5a,0) respectively. The electric flux through a...

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A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object....

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Given below are two statements: Statement I : If a capillary tube is immersed first in cold water and then...

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The electric current through a wire varies with time as $I=I_0+\beta \mathrm{t}$. where $I_0=20 \mathrm{~A}$ and $\beta=3 \mathrm{~A} / \mathrm{s}$....

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In the given circuit, the breakdown voltage of the Zener diode is 3.0 V. What is the value of $I_z$...

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A satellite of mass 1000 kg is launched to revolve around the earth in an orbit at a height of...

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The internal energy of air in $4 m \times 4 m \times 3 m$ sized room at 1 atmospheric pressure...

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The length of a light string is 1.4 m when the tension on it is 5 N . If the...

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A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim...

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A ray of light suffers minimum deviation when incident on a prism having angle of the ${ }_{6}^{4}$ prism equal...

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In the digital circuit shown in the figure, for the given inputs the $P$ and $Q$ values are :

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Two water drops each of radius ' $r$ ' coalesce to form a bigger drop. If ' $T$ ' is...

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Consider a circular loop that is uniformly charged and has a radius $a \sqrt{2}$. Find the position along the positive...

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A solenoid having area $A$ and length ' $l$ ' is filled with a material having relative permeability 2 ....

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A bi-convex lens has radius of curvature of both the surfaces same as $1 / 6 \mathrm{~cm}$. If this lens...

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An electron with mass ' m ' with an initial velocity $(t=0) \vec{v}=v_{0} \hat{i}\left(v_{0}>0\right)$ enters a magnetic field $\vec{B}=B_{0} \hat{j}$....

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A sportsman runs around a circular track of radius $r$ such that he traverses the path $A B A B$....

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In a moving coil galvanometer, two moving coils $M_{1}$ and $M_{2}$ have the following particulars : $...

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The moment of inertia of a circular ring of mass M and diameter r about a tangential axis lying in...

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Energy released when two deuterons $\left({ }_{1} H^{2}\right)$ fuse to form a helium nucleus $\left({ }_{2} H e^{4}\right)$ is :...

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A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the $X$-direction in 0.3 sec ....

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Match List - I with List - II.

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A body of mass 1 kg is suspended with the help of two strings making angles as shown in figure....

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Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12...

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Assuming the validity of Bohr's atomic model for hydrogen like ions the radius of $\mathrm{Li}^{++}$ion in its ground state is...

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If $\mu_{0}$ and $\epsilon_{0}$ are the permeability and permittivity of free space, respectively, then the dimension of $\left(\frac{1}{\mu_{0} \epsilon_{0}}\right)$ is:

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Given a charge q , current I and permeability of vacuum $\mu_{o}$. Which of the following quantity has the dimension...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Two large plane parallel conducting plates are kept 10 cm apart as shown in figure. The potential difference between them...

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If average depth of an ocean is 4000 m and the bulk modulus of water is $2 \times 10^9 \mathrm{Nm}^{-2}$,...

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The charge accumulated on the capacitor connected in the following circuit is $\mu \mathrm{C} ($ Given $\mathrm{C}=150 \mu \mathrm{~F})$

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Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is...

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A particle executes simple harmonic motion with an amplitude of 4 cm . At the mean position, velocity of the...

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Four particles each of mass 1kg are placed at four corners of a square of side 2 m. Moment of...

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In a nuclear fission process, a high mass nuclide $(\mathrm{A} \approx 236)$ with binding energy $7.6 \mathrm{MeV} /$ Nucleon dissociated...

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Two immiscible liquids of refractive indices $\frac{8}{5}$ and $\frac{3}{2}$ respectively are put in a beaker as shown in the figure....

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Two coils have mutual inductance 0.002H. The current changes in the first coil according to the relation $i=i_0$ sin⁡ωt, where...

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A thin metallic wire having cross sectional area of $10^{-4}m^2$ is used to make a ring of radius 30 cm....

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A particle starts from origin at $t = 0$ with a velocity $5{\rm{\hat im}}/{\rm{s}}$ and moves in $x - y$...

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The average kinetic energy of a monatomic molecule is 0.414eV at temperature : (Use $K_B=1.38×10^{-23}J/mol-K$)

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A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallely,...

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A wire of length 10 cm and radius $\sqrt 7 \times {10^{ - 4}}\;{\rm{m}}$ connected across the right gap of...

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Given below are two statements : Statement (I) : Planck's constant and angular momentum have same dimensions. Statement (II) :...

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A plane electromagnetic wave propagating in x -direction is described by $...

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A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is...

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A convex lens of focal length 40 cm forms an image of an extended source of light on a photoelectric...

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An electric charge ${10^{ - 6}}\mu {\rm{C}}$ is placed at origin (0, 0)m of X-Y co-ordinate system. Two points P...

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A rectangular loop of length 2.5 m and width 2m is placed at $60^∘$ to a magnetic field of 4T....

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The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will...

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0.08 kg air is heated at constant volume through $5^∘$ C. The specific heat of air at constant volume is...

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Two bodies of mass 4g and 25g are moving with equal kinetic energies. The ratio of magnitude of their linear...

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Identify the physical quantity that cannot be measured using spherometer :

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Which of the following circuits is reverse - biased ?

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A train is moving with a speed of 12m/s on rails which are 1.5 m apart. To negotiate a curve...

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The acceleration due to gravity on the surface of earth is g. If the diameter of earth reduces to half...

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A proton moving with a constant velocity passes through a region of space without any change in its velocity. If...

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If the refractive index of the material of a prism is $\cot \left(\frac{A}{2}\right)$, where A is the angle of prism...

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Given below are two statements : Statement (I) :Viscosity of gases is greater than that of liquids. Statement (II) :...

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The magnetic field inside a 200 turns solenoid of radius 10 cm is $2.9 \times 10^{-4} \mathrm{Tesla}$. If the solenoid...

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Two planets, A and B are orbiting a common star in circular orbits of radii $R_{A}$ and $R_{B}$, respectively, with...

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Two cars $P$ and $Q$ are moving on a road in the same direction. Acceleration of car $P$ increases linearly...

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A physical quantity $Q$ is related to four observables $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}$ as follows : $\mathrm{Q}=\frac{\mathrm{ab}}{} \mathrm{a}^{4}$ where, $...

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A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current...

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A poly-atomic molecule ( $C_{V}=3 R, C_{P}=4 R$, where $R$ is gas constant) goes from phase space point $...

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The truth table for the circuit given below is :

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A plane electromagnetic wave propagates along the $+x$ direction in free space. The components of the electric field, $\vec{E}$ and...

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Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown...

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Two bodies A and B of equal mass are suspended from two massless springs of spring constant $k_{1}$ and $\mathrm{k}_{2}$,...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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Match List - I with List - II. Choose the correct answer from the options given below :

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A cup of coffee cools from $90^{\circ} \mathrm{C}$ to $80^{\circ} \mathrm{C}$ in $t$ minutes when the room temperature is $...

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In an experiment with photoelectric effect, the stopping potential

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A sand dropper drops sand of mass $m(t)$ on a conveyer belt at a rate proportional to the square root...

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Three equal masses $m$ are kept at vertices ( $\mathrm{A}, \mathrm{B}, \mathrm{C}$ ) of an equilateral triangle of side $a$...

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Q JEE MAIN 2025

Match List - I with List - II. Choose the correct answer from the options given below :

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Two identical symmetric double convex lenses of focal length $f$ are cut into two equal parts $\mathrm{L}_{1}, \mathrm{~L}_{2}$ by $...

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A convex lens made of glass (refractive index $=1.5$ ) has focal length 24 cm in air. When it is...

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An electric dipole is placed at a distance of 2 cm from an infinite plane sheet having positive charge density...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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A capacitor, $\mathrm{C}_{1}=6 \mu \mathrm{~F}$ is charged to a potential difference of $\mathrm{V}_{0}=5 \mathrm{~V}$ using a 5 V battery. The...

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Q JEE MAIN 2025

The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the...

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Q JEE MAIN 2024

Position of an ant ( S in metres) moving in Y-Z plane is given by $S=2 t^2 \hat{\jmath}+5 \hat{k}$ (where...

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Q JEE MAIN 2025

Four capacitors each of capacitance 16$mu$F are connected as shown in the figure. The capacitance between points A and B...

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Two slabs with square cross section of different materials (1,2) with equal sides $(l)$ and thickness ${d_1}$ and ${d_2}$ such...

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Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of $\frac{1}{{\sqrt 2 }}$ Tesla,...

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Distance between object and its image (magnified by $ - \frac{1}{3}$) is 30 cm . The focal length of the...

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Q JEE MAIN 2025

A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping....

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A small mirror of mass m is suspended by a massless thread of length $l$ . Then the small angle...

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A body of mass m is suspended by two strings making angles ${\theta _1}$ and ${\theta _2}$ with the horizontal...

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Two small spherical balls of mass 10 g each with charges $ - 2\mu {\rm{C}}$ and $2\mu {\rm{C}}$ , are...

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In an experiment with a closed organ pipe, it is filled with water by $\left( {\frac{1}{5}} \right)$ th of its...

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Two liquids A and B have ${\theta _A}$ and ${\theta _B}$ as contact angles in a capillary tube. If $...

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Current passing through a wire as function of time is given as ${\rm{I}}({\rm{t}}) = 0.02{\rm{t}} + 0.01\;{\rm{A}}$. The charge that...

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Considering the Bohr model of hydrogen like atoms, the ratio of the radius of 5th orbit of the electron in...

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Two infinite identical charged sheets and a charged spherical body of charge density '$\rho$' are arranged as shown in figure....

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Which of the following are correct expression for torque acting on a body? A. $...

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Two simple pendulums having lengths ${l_1}$ and ${l_2}$ with negligible string mass undergo angular displacements ${\theta _1}$ and ${\theta _2}$,...

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When an object is placed 40 cm away from a spherical mirror an image of magnification $\frac{1}{2}$ is produced. To...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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An alternating current is represented by the equation, $i = 100\sqrt 2 \sin (100\pi t)$ ampere. The RMS value of...

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In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of ${M^P}{L^Q}{T^R}{A^S}$, where...

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The Boolean expression ${\rm{Y}} = A\bar BC + \bar A\bar C$ can be realised with which of the following gate...

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If $\vec L$ and $\vec P$ represent the angular momentum and linear momentum respectively of a particle of mass '$m$'...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are $...

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In a Young's double slit experiment, the slits are separated by 0.2 mm. If the slits separation is increased to...

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Consider the sound wave travelling in ideal gases of ${\rm{He}},{\rm{C}}{{\rm{H}}_4}$, and ${\rm{C}}{{\rm{O}}_2}$. All the gases have the same ratio $...

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A thin transparent film with refractive index 1.4 , is held on circular ring of radius 1.8 cm . The...

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The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure...

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An electric dipole of dipole moment $6 \times 10^{-6} \mathrm{Cm}$ is placed in uniform electric field of magnitude $...

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The value of current $I$ in the electrical circuit as given below, when potential at $A$ is equal to the...

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A balloon and its content having mass $M$ is moving up with an acceleration ' $a$ '. The mass that...

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A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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The kinetic energy of translation of the molecules in 50 g of $\mathrm{CO}_{2}$ gas at $17^{\circ} \mathrm{C}$ is

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A concave mirror produces an image of an object such that the distance between the object and image is 20...

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A parallel plate capacitor of capacitance $1 \mu \mathrm{~F}$ is charged to a potential difference of 20 V . The...

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In a long glass tube, mixture of two liquids $A$ and $B$ with refractive indices 1.3 and 1.4 respectively, forms...

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The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered...

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The ratio of vapour densities of two gases at the same temperature is $\frac{4}{25}$, then the ratio of r.m.s. velocities...

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A body of mass 4 kg is placed on a plane at a point $P$ having coordinate $(3,4) m$. Under...

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A bar magnet has total length $2 l=20$ units and the field point $P$ is at a distance $d=10$ units...

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Which of the following phenomena can not be explained by wave theory of light ?

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The frequency of revolution of the electron in Bohr's orbit varies with $n$, the principal quantum number as

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In the circuit shown here, assuming threshold voltage of diode is negligibly small, then voltage $V_{A B}$ is correctly represented...

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Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum intensities...

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A loop ABCDA, carrying current I = 12 A, is placed in a plane, consists of two semi-circular segments of...

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In the figure shown below, a resistance of $150.4\Omega $ is connected in series to an ammeter A of resistance...

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Three identical spheres of mass m, are placed at the vertices of an equilateral triangle of length a. When released,...

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Which of the following curves possibly represent one-dimensional motion of a particle? Choose the correct answer from the options given...

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A force of 49 N acts tangentially at the highest point of a sphere (solid) of mass 20 kg ,...

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The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V....

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A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of...

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Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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The work function of a metal is 3 eV. The color of the visible light that is required to cause...

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The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of...

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The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away...

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A particle is released from height S above the surface of the earth. At certain height its kinetic energy is...

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A person measures mass of 3 different particles as 435.42 g, 226.3g and 0.125 g. According to the rules for...

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Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray inside...

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The angle of projection of a particle is measured from the vertical axis as $\phi $ and the maximum height...

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Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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A wire of length 25 m and cross-sectional area $5\;{\rm{m}}{{\rm{m}}^2}$ having resistivity of $2 \times {10^{ - 6}}\Omega \;{\rm{m}}$ is...

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Consider a completely full cylindrical water tank of height 1.6 m and of cross-sectional area $0.5\;{{\rm{m}}^2}$. It has a small...

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A piston of mass M is hung from a massless spring whose restoring force law goes as $...

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A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants ${\varepsilon _1}$ and ${\varepsilon _2}$ , as...

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Choose the correct logic circuit for the given truth table having inputs A and B.

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During the melting of a slab of ice at 273 K at atmospheric pressure:

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Two blocks of masses m and $M,(M > m)$, are placed on a frictionless table as shown in figure. A...

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A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the...

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A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm...

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An infinite wire has a circular bend of radius a , and carrying a current I as shown in figure....

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Young's double slit interference apparatus is immersed in a liquid of refractive index 1.44. It has slit separation of 1.5...

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An air bubble of radius 1.0 mm is observed at a depth of 20 cm below the free surface of...

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Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth...

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The magnetic field of an E.M. wave is given by $\overrightarrow{\mathrm{B}}=\left(\frac{\sqrt{3}}{2} \hat{i}+\frac{1}{2} \hat{j}\right) 30 \sin \left[\omega\left(\mathrm{t}-\frac{Z}{\mathrm{c}}\right)\right]$ (S.I. Units). The corresponding...

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Match List - I with List - II. Choose the correct answer from the options given below :

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The increase in pressure required to decrease the volume of a water sample by $0.2 \%$ is $...

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A string of length $L$ is fixed at one end and carries a mass of $M$ at the other end....

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Acceleration due to gravity on the surface of earth is ' $g$ '. If the diameter of earth is reduced...

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The ratio of the power of a light source $S_{1}$ to that the light source $S_{2}$ is $2 S_{1}$ is...

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A tightly wound long solenoid carries a current of 15 A . An electron is executing uniform circular motion inside...

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A solid sphere is rolling without slipping on a horizontal plane. The ratio of the linear kinetic energy of the...

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The magnitude of heat exchanged by a system for the given cyclic process ABCA (as shown in figure) is (in...

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The position vector of a moving body at any instant of time is given as $...

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The energy $E$ and momentum $p$ of a moving body of mass $m$ are related by some equation. Given that...

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In photoelectric effect, the stopping potential $\left(\mathrm{V}_{0}\right) \mathrm{v} / \mathrm{s}$ frequency $(v)$ curve is plotted. (h is the Planck's constant...

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The output of the circuit is low (zero) for : (A) $X=0, Y=0$ (B) $X=0, Y=1$ (C) $X=1, Y=0$ (D)...

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A small uncharged conducting sphere is placed in contact with an identical sphere but having $4 \times 10^{-8} \mathrm{C}$ charge...

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A solid sphere and a hollow sphere of the same mass and of same radius are rolled on an inclined...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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A long straight wire of a circular cross-section with radius 'a' carries a steady current I. The current I is...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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$N$ equally spaced charges each of value $q$, are placed on a circle of radius $R$. The circle rotates about...

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A photograph of a landscape is captured by a drone camera at a height of 18 km . The size...

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In a Young's double slit experiment, three polarizers are kept as shown in the figure. The transmission axes of $P_{1}$...

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A particle oscillates along the $x$-axis according to the law, $x(\mathrm{t})=x_{0} \sin ^{2}\left(\frac{\mathrm{t}}{2}\right)$ where $x_{0}=1 \mathrm{~m}$. The kinetic energy (...

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A, B and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are...

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A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire...

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An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in...

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A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid...

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For ac circuit shown in figure, ${\rm{R}} = 100{\rm{k}}\Omega $ and ${\rm{C}} = 100{\rm{pF}}$ and the phase difference between $...

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Two wires A and B are made of same material having ratio of lengths $\frac{{{L_A}}}{{{L_B}}} = \frac{1}{3}$ and their diameters...

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An ac current is represented as $i = 5\sqrt 2 + 10\cos \left( {650\pi t + \frac{\pi }{6}} \right)Amp$ The...

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Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power...

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A cubic block of mass m is sliding down on an inclined plane at ${60^\circ}$ with an acceleration of $\frac{g}{2}$,...

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Two projectiles are fired from ground with same initial speeds from same point at angles $\left( {{{45}^\circ}+\alpha}\right)$ and $\left({{{45}^\circ}-\alpha}\right)$ with...

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In a hydrogen like ion, the energy difference between the ${2^{{\rm{nd }}}}$ excitation energy state and ground is 108.8 eV...

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Match the LIST-I with LIST-I

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A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal...

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If ${_0}$ denotes the permittivity of free space and ${\Phi _E}$ is the flux of the electric field through the...

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Uniform magnetic fields of different strengths $\left( {{B_1}} \right.$ and $\left. {{B_2}} \right)$, both normal to the plane of the...

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In the following circuit, the reading of the ammeter will be ( Take Zener breakdown voltage = 4V)

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Two harmonic waves moving in the same direction superimpose to form a wave $x = {\rm{a}}\cos (1.5{\rm{t}})\cos (50.5{\rm{t}})$ where t...

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A particle of charge q, mass m and kinetic energy E enters in magnetic field perpendicular to its velocity and...

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Two charges ${q_1}$ and ${q_2}$ are separated by a distance of 30 cm. A third charge ${q_3}$ initially at 'C'...

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Two plane polarized light waves combine at a certain point whose electric field components are $...

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An object of mass 1000 g experiences a time dependent force $...

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A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same...

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For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is

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A rod of length 5 L is bent right angle keeping one side length as 2 L .

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The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility...

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A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of $100c{m^2}$ with hinged...

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A steel wire of length 2 m and Young's modulus $2.0 \times {10^{11}}N{m^{ - 2}}$ is stretched by a force....

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A person travelling on a straight line moves with a uniform velocity ${v_1}$ for a distance x and with a...

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${\gamma_A}$ is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. ${\gamma_B}$ is the specific...

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If the measured angular separation between the second minimum to the left of the central maximum and the third minimum...

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A river is flowing from west to east direction with speed of $9km{h^{-1}}$ . If a boat capable of moving...

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The relationship between the magnetic susceptibility $(\chi )$ and the magnetic permeability $(\mu )$ is given by : (${\mu _0}$...

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Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge...

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Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and...

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A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is...

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A light wave is propagating with plane wave fronts of the type $x + y + z = $ constant....

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A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The...

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A point charge + q is placed at the origin. A second point charge +9 q is placed at (d,...

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A monochromatic light is incident on a metallic plate having work function $\phi$. An electron, emitted normally to the plate...

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Considering Bohr's atomic model for hydrogen atom: (A) the energy of H atom in ground state is same as energy...

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Match List - I with List - II. List - I $\hspace{5cm}$ List - II (A) Coefficient of viscosity $\hspace{2cm}$(I)...

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A particle is subjected to two simple harmonic motions as: ${x_1} = \sqrt 7 \sin 5tcm$ and $...

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The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it...

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A small bob of mass 100 mg and charge $ + 10\mu C$ is connected to an insulating string of...

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A zener diode with 5 V zener voltage is used to regulate an unregulated dc voltage input of 25 V...

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The equation for real gas is given by $\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT$, where P, V,...

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In an adiabatic process, which of the following statements is true?

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At steady state the charge on the capacitor, as shown in the circuit below, is $\_\_\_\_$ $\mu \mathrm{C}$.

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A square Lamina OABC of length 10 cm is pivoted at 'O'. Forces act at Lamina as shown in figure....

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A satellite of mass $\frac{M}{2}$ is revolving around earth in a circular orbit at a height of $\frac{R}{3}$ from earth...

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Let ${B_1}$ be the magnitude of magnetic field at center of a circular coil of radius R carrying current I....

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A spherical surface separates two media of refractive indices 1 and 1.5 as shown in figure. Distance of the image...

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In a series LCR circuit, a resistor of $300 \Omega$, a capacitor of 25 nF and an inductor of 100...

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A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 \mu \mathrm{~F}$....

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The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3} x+600 t\right] \mathrm{mm}$,...

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Two point charges $-4 \mu \mathrm{c}$ and $4 \mu \mathrm{c}$, constituting an electric dipole, are placed at $(-9,0,0) \mathrm{cm}$ and...

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A massless spring gets elongated by amount $X_{1}$ under a tension of 5 N . Its elongation is $X_{2}$ under...

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Two light beams fall on a transparent material block at point 1 and 2 with angle ${\theta_1}$ and ${\theta_2}$, respectively,...

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The maximum speed of a boat in still water is 27km/h. Now this boat is moving downstream in a river...

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In a hydraulic lift, the surface area of the input piston is $6\;{\rm{c}}{{\rm{m}}^2}$ and that of the output piston is...

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A container of fixed volume contains a gas at ${27^\circ}{\rm{C}}$ . To double the pressure of the gas, the temperature...

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The coordinates of a particle with respect to origin in a given reference frame is (1,1,1) meters. If a force...

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The pair of physical quantities not having same dimensions is :

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Match List - I with List - II. List - I (A) Electric field inside (distance ${\rm{r}} > 0$ from...

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Consider ${{\rm{I}}_1}$ and ${{\rm{I}}_2}$ are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If $...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled. as Reason (R)....

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At the interface between two materials having refractive indices ${n_1}$ and ${n_2}$ , the critical angle for reflection of an...

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An electric dipole of mass m, charge q, and length $l$ is placed in a uniform electric field $...

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The expression given below shows the variation of velocity $(v)$ with time $({\rm{t}})$, $v = A{t^2} + \frac{{Bt}}{{C + t}}$....

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As shown below, bob A of a pendulum having massless string of length 'R' is released from ${60^\circ}$ to the...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R). Assertion...

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The workdone in an adiabatic change in an ideal gas depends upon only :

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Let $u$ and $v$ be the distances of the object and the image from a lens of focal length $f$....

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The fractional compression $\left( {\frac{{\Delta V}}{V}} \right)$ of water at the depth of 2.5 km below the sea level is...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly...

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A coil of area A and N turns is rotating with angular velocity $\omega$ in a uniform magnetic field $...

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Two projectiles are fired with same initial speed from same point on ground at angles of $\left(45^{\circ}-\alpha\right)$ and $\left(45^{\circ}+\alpha\right)$, respectively,...

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A body of mass 'm' connected to a massless and unstretchable string goes in verticle circle of radius 'R' under...

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If $\lambda $ and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The...

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Two iron solid discs of negligible thickness have radii ${R_1}$ and ${R_2}$ and moment of intertia ${I_1}$ and ${I_2}$, respectively....

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A double slit interference experiment performed with a light of wavelength 600 nm forms an interference fringe pattern on a...

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The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of...

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A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm, respectively. Using a specially designed...

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In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured...

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Choose the correct nuclear process from the below options [p : proton, n : neutron, ${{\rm{e}}^-}$ : electron, ${{\rm{e}}^+}$ :...

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The centre of mass of a thin rectangular plate (fig - x) with sides of length a and b, whose...

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A particle of mass 'm' and charge 'q' is fastened to one end 'A' of a massless string having equilibrium...

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Consider following statements: A. Surface tension arises due to extra energy of the molecules at the interior as compared to...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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Two capacitors ${C_1}$ and ${C_2}$ are connected in parallel to a battery. Charge-time graph is shown below for the two...

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Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion...

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A Carnot engine (E) is working between two temperatures 473 K and 273 K. In a new system two engines...

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Which of the following circuits has the same output as that of the given circuit?

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A proton of mass '${m_P}$' has same energy as that of a photon of wavelength '$\lambda $'. If the proton...

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Due to presence of an em-wave whose electric component is given by $...

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A thin prism ${P_1}$ with angle ${4^0}$ made of glass having refractive index 1.54, is combined with another thin prism...

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In the experiment for measurement of viscosity '$\eta$' of given liquid with a ball having radius R, consider following statements....

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A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square....

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Consider a long thin conducting wire carrying a uniform current I. A particle having mass "M" and charge "q" is...

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Three infinitely long wires with linear charge density $\lambda $ are placed along the x -axis, y -axis and z-...

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For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas...

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The temperature of 1 mole of an ideal monoatomic gas is increased by ${50^0{C}}$ at constant pressure. The total heat...

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A current of 5A exists in a square loop of side $\frac{1}{{\sqrt 2 }}\;{\rm{m}}$ . Then the magnitude of the...

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The least count of a screw gauge is 0.01 mm. If the pitch is increased by 75% and number of...

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A square loop of sides $a = 1\;{\rm{m}}$ is held normally in front of a point charge ${\rm{q}} = 1{\rm{C}}$....

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A wire of resistance $9\Omega$ is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices...

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A thin plano convex lens made of glass of refractive index 1.5 is immersed in a liquid of refractive index...

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An electron of mass 'm' with an initial velocity $\overrightarrow {\rm{v}} = {{\rm{v}}_0}\hat i\left( {{{\rm{v}}_0} > 0} \right)$ enters an...

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Consider the following statements: A. The junction area of solar cell is made very narrow compared to a photo diode....

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A plano-convex lens having radius of curvature of first surface 2 cm exhibits focal length of ${f_1}$ in air. Another...

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An object of mass 'm' is projected from origin in a vertical xy plane at an angle ${45^0}$ with the...

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A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm. If D and d...

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What is the relative decrease in focal length of a lens for an increase in optical power by 0.1 D...

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The amount of work done to break a big water drop of radius 'R' into 27 small drops of equal...

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Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If E is...

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An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a...

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An ideal gas goes from an initial state to final state. During the process, the pressure of gas increases linearly...

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A car of mass 'm' moves on a banked road having radius 'r' and banking angle $\theta $. To avoid...

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The Young's double slit interference experiment is performed using light consisting of 480 nm and 600 nm wavelengths to form...

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A force ${\rm{F}} - \alpha + \beta {{\rm{x}}^2}$ acts on an object in the x -direction. The work done by...

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A uniform solid cylinder of mass 'm' and radius 'r' rolls along an inclined rough plane of inclination $45º$. If...

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A parallel plate capacitor was made with two rectangular plates, each with a length of $l = 3\;{\rm{cm}}$ and breath...

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A satellite is launched into a circular orbit of radius 'R' around the earth. A second satellite is launched into...

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During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation...

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For an experimental expression $y = \frac{{32.3 \times 1125}}{{27.4}}$, where all the digits are significant. Then to report the value...

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An alternating current is given by $I = {I_A}\sin \omega t + {I_B}\cos \omega t$ . The r.m.s current will...

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A positive ion A and a negative ion B has charges $6.67\times {{10}^{{-19}}}\text{C}$ and $9.6\times {{10}^{{-10}}}\text{C}$, and masses $19.2\times {{10}^{{-27}}}~\text{kg}$...

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A force $\text{f}={{\text{x}}^{2}}\text{y}\widehat{\text{i}}+{{\text{y}}^{2}}\widehat{\text{j}}$ acts on a particle in a plane $\text{x}+\text{y}=10$ . The work done by this force during a...

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An ideal gas initially at ${{0}^{{}^\circ }}\text{C}$ temperature, is compressed suddenly to one fourth c the ratio of specific heat...

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Two particles are located at equal distance from origin. The position vectors of those are represented by $\overrightarrow{\text{A}}=2\widehat{\text{i}}+3n\widehat{\text{j}}+2\widehat{\text{k}}$ and $\overrightarrow{\text{B}}=2\widehat{\text{i}}-2\widehat{\text{j}}+4\text{p}\widehat{\text{k}}$,...

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In the given circuit the sliding contact is pulled outwards such that electric current in the circuit changes at the...

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The electric flux is $\phi =\alpha \sigma +\beta \lambda $ where $\lambda $ and $\sigma$ are linear and surface charge...

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The position of a particle moving on x -axis is given by $\text{x}(\text{t})=\text{A}\sin \text{t}+\text{B}{{\cos }^{2}}\text{t}+\text{C}{{\text{t}}^{2}}+\text{D}$ , where t is time....

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Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5...

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http://competishun.com/wp-content/uploads/2025/12/1-18-300x184.jpg

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A sub-atomic particle of mass ${{10}^{{-30}}}~\text{kg}$ is moving with a velocity $2.21\times {{10}^{6}}~\text{m}/\text{s}$. Under the matter wave consideration, the particle...

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A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of...

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What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness 'h' in terms of...

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A point particle of charge Q is located at P along the axis of an electric dipole 1 at a...

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Given below are two statements: Statement I: The hot water flows faster than cold water Statement II: Soap water has...

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Given a thin convex lens (refractive index $\mu_2$ ), kept in a liquid (refractive index $\mu_1, \mu_1

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Consider a moving coil galvanometer (MCG): A. The torsional constant in moving coil galvanometer has dimentions $\left[ {\text{M}{{\text{L}}^{2}}~{{\text{T}}^{{-2}}}} \right]$ B....

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A spherical surface of radius of curvature R, separates air from glass (refractive index = 1.5). The centre of curvature...

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Refer to the circuit diagram given in the figure. which of the following observations are correct? A. Total resistance of...

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A solid sphere of mass ' $m$ ' and radius ' $r$ ' is allowed to roll without slipping from...

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The motion of an airplane is represented by velocity-time graph as shown below. The distance covered by airplane in the...

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Regarding self-inductance: A. The self-inductance of the coil depends on its geometry. B. Self-inductance does not depend on the permeability...

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Using the given P-V diagram, the work done by an ideal gas along the path ABCD is :

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A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is...

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Match List - I with List - II.

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A radioactive nucleus $n_2$ has 3 times the decay constant as compared to the decay constant of another radioactive nucleus...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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What is the current through the battery in the circuit shown below ?

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The electric field of an electromagnetic wave in free space is $...

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Identify the valid statements relevant to the given circuit at the instant when the key is closed. A. There will...

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The energy of a system is given as $E(t)=\alpha^{3} e^{-\beta t}$, where $t$ is the time and $\beta=0.3 \mathrm{~s}^{-1}$. The...

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Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure gauge...

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The refractive index of the material of a glass prism is $\sqrt{3}$. The angle of minimum deviation is equal to...

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The width of one of the two slits in Young's double slit experiment is $d$ while that of the other...

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Water of mass m gram is slowly heated to increase the temperature from $\mathrm{T}_{1}$ to $\mathrm{T}_{2}$. The change in entropy...

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A ball having kinetic energy KE , is projected at an angle of $60^{\circ}$ from the horizontal. What will be...

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If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time...

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In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the...

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A concave mirror of focal length $f$ in air is dipped in a liquid of refractive index $\mu$. Its focal...

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A galvanometer having a coil of resistance $30 \Omega$ need 20 mA of current for full-scale deflection. If a maximum...

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A circular disk of radius R meter and mass M kg is rotating around the axis perpendicular to the disk....

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Two charges $7 \mu \mathrm{c}$ and $-4 \mu \mathrm{c}$ are placed at $(-7 \mathrm{~cm}, 0,0)$ and $(7 \mathrm{~cm}, 0,0)$ respectively....

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A plane electromagnetic wave of frequency 20 MHz travels in free space along the +x direction. At a particular point...

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The maximum percentage error in the measurement of density of a wire is [Given, mass of wire $...

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Given are statements for certain thermodynamic variables, (A) Internal energy, volume (V) and mass (M) are extensive variables. (B) Pressure...

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The tube of length L is shown in the figure. The radius of cross section at the point (1) is...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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A ball of mass 100 g is projected with velocity 20 m/s at 60° with horizontal. The decrease in kinetic...

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To obtain the given truth table, following logic gate should be placed at G :

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A light source of wavelength $\lambda$ illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2...

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Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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For a diatomic gas, if $\gamma_1=\left(\frac{C p}{C v}\right)$ for rigid molecules and $\gamma_2=\left(\frac{C p}{C v}\right)$ for another diatomic molecules, but...

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For a short dipole placed at origin $O$, the dipole moment $P$ is along $x$-axis, as shown in the figure....

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A rectangular metallic loop is moving out of a uniform magnetic field region to a field free region with a...

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A parallel plate capacitor of area $\mathrm{A}=16 \mathrm{~cm}^2$ and separation between the plates 10 cm is charged by a DC...

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A proton is moving undeflected in a region of crossed electric and magnetic fields at a constant speed of $...

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A tube of length 1 m is filled completely with an ideal liquid of mass 2 M and closed at...

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The net current flowing in the given circuit is ______A.

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Two long parallel wires $X$ and $Y$, separated by a distance of 6 cm , carry currents of 5 A...

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A transparent film of refractive index, 2.0 is coated on a glass slab of refractive index, 1.45. What is the...

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The position vectors of two 1 kg particles, (A) and (B), are given by $\overrightarrow{\mathbf{r}}_{\mathrm{A}}=\left(\alpha_1 \mathrm{t}^2 \hat{i}+\alpha_2 \hat{j}+\alpha_3 \hat{t}\right) \mathrm{m}$...

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Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius...

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The driver sitting inside a parked car is watching vehicles approaching from behind with the help of his side view...

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Three conductors of same length having thermal conductivity $\mathrm{k}_1, \mathrm{k}_2$ and $\mathrm{k}_3$ are connected as shown in figure. Area of...

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A particle is projected at an angle of $30^{\circ}$ from horizontal at a speed of $60 \mathrm{~m} / \mathrm{s}$. The...

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In the diagram given below, there are three lenses formed. Considering negligible thickness of each of them as compared to...

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A small rigid spherical ball of mass M is dropped in a long vertical tube containing glycerine. The velocity of...

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Given is a thin convex lens of glass (refractive index $\mu$) and each side having radius of curvature R. One...

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A series LCR circuit is connected to an alternating source of emf E. The current amplitude at resonant frequency is...

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A small point of mass $m$ is placed at a distance 2 R from the centre ' $O$ ' of...

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A bob of mass $m$ is suspended at a point $O$ by a light string of length $l$ and left...

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Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance $R_p=1 \Omega$ as shown in...

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A uniform circular disc of radius 'R' and mass 'M' is rotating about an axis perpendicular to its plane and...

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Which one of the following is the correct dimensional formula for the capacitance in F M, L, T and C...

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Given below are two statements : Statement-I : The equivalent emf of two nonideal batteries connected in parallel is smaller...

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A force $\overrightarrow{\mathrm{F}}=2 \hat{i}+\mathrm{b} \hat{j}+\hat{k}$ is applied on a particle and it undergoes a displacement $\hat{i}-2 \hat{j}-\hat{k}$. What will be...

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The torque due to the force $(2 \hat{i}+\hat{j}+2 \hat{k})$ about the origin, acting on a particle whose position vector is...

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)....

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A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in...

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A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different...

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Given below are two statements : Statement I: In a vernier callipers, one vernier scale division is always smaller than...

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An amount of ice of mass $10^{-3} \mathrm{~kg}$ and temperature $-10^{\circ} \mathrm{C}$ is transformed to vapour of temperature $110^{\circ} \mathrm{C}$...

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An electron is made to enter symmetrically between two parallel and equally but oppositely charged metal plates, each of 10...

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Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature...

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An electron projected perpendicular to a uniform magnetic field B moves in a circle. If Bohr's quantization is applicable, then...

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A parallel-plate capacitor of capacitance 40 $\mu$ F is connected to a 100 V power supply. Now the intermediate space...

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A body of mass 100 g is moving in circular path of radius 2 m on vertical plane as shown...

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Which of the following resistivity $(\rho )$ v/s temperature (T) curves is most suitable to be used in wire bound...

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A line charge of length $\frac{\mathrm{a}}{2}$ is kept at the center of an edge BC of a cube ABCDEFGH having...

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An electron in the ground state of the hydrogen atom has the orbital radius of $5.3 \times {10^{ - 11}}\;{\rm{m}}$...

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If B is magnetic field and $\mu_0$ is permeability of free space, then the dimensions of $\left(B / \mu_0\right)$ is

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The work functions of cesium (Cs) and lithium (Li) metals are 1.9 eV and 2.5 eV , respectively. If we...

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Which of the following circuits represents a forward biased diode?

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