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 door is fitted at a...
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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. If Poisson ratio and transverse...
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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 uniform velocity ${v_2}$ for the...
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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 heat ratio of polyatomic gas...
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If the measured angular separation between the second minimum to the left of the central maximum and the third minimum to the right of the...
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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 at a maximum speed of...
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The relationship between the magnetic susceptibility $(\chi )$ and the magnetic permeability $(\mu )$ is given by : (${\mu _0}$ is the permeability of free...
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Consider two infinitely large plane parallel conducting plates as shown below. The plates are uniformly charged with a surface charge density $+ \sigma$ and $-2\sigma$....
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Moment of inertia of a rod of mass 'M' and length 'L' about an axis passing through its center and normal to its length is...
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A slanted object AB is placed on one side of convex lens as shown in the diagram. The image is formed on the opposite side....
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A light wave is propagating with plane wave fronts of the type $x + y + z = $ constant. The angle made by the...
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A cord of negligible mass is wound around the rim of a wheel supported by spokes with negligible mass. The mass of wheel is 10...
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A point charge + q is placed at the origin. A second point charge +9 q is placed at (d, 0,0) in Cartesian coordinate system....
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A monochromatic light is incident on a metallic plate having work function $\phi$. An electron, emitted normally to the plate from a point A with...
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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 of $H{e^ + }$ ion...
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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 when fully charged?
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A small bob of mass 100 mg and charge $ + 10\mu C$ is connected to an insulating string of length 1 m. It is...
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A zener diode with 5 V zener voltage is used to regulate an unregulated dc voltage input of 25 V . For a $400\Omega$ resistor...
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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, T and R are the...
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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. If Lamina remains stationary, then...
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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 surface. The angular momentum of...
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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. Let ${B_2}$ be the magnitude...
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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 of an object 'O', is...
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In a series LCR circuit, a resistor of $300 \Omega$, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum...
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A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 \mu \mathrm{~F}$. The dielectric constant of the...
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The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3} x+600 t\right] \mathrm{mm}$, where $x$ is in 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 $(9,0,0) \mathrm{cm}$ in a uniform...
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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 the tension of 7 N...
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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, as shown in figure. After...
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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 flowing at 9 km/h. A...
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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 $1500\;{\rm{c}}{{\rm{m}}^2}$. If 100 N force...
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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 of gas should be raised...
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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 of $...
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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 center) of a uniformly charged...
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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 ${{\rm{L}}_1} = $ self inductance of coil...
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Given below are two statements : one is labelled as Assertion (A) and the other is labelled. as Reason (R). Assertion (A) : Electromagnetic waves...
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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 em wave is ${\theta _{1c}}$....
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An electric dipole of mass m, charge q, and length $l$ is placed in a uniform electric field $\overrightarrow {\rm{E}} = {{\rm{E}}_0}\hat i$. When the...
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The expression given below shows the variation of velocity $(v)$ with time $({\rm{t}})$, $v = A{t^2} + \frac{{Bt}}{{C + t}}$. The dimension of ABC is...
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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 vertical. It hits another bob...
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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason(R). Assertion (A) : Time period of...
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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 $f$. The correct graphical representation of...
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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 ______ %. Given, the Bulk...
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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Emission 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 (A): Choke coil is simply...
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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 distributed across this cross-section. The...
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A coil of area A and N turns is rotating with angular velocity $\omega$ in a uniform magnetic field $\vec B$ about an axis perpendicular...
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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, with the horizontal direction. The...
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A body of mass 'm' connected to a massless and unstretchable string goes in verticle circle of radius 'R' under gravity g. The other end...
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If $\lambda $ and K are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for 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. For ${R_2} = 2{R_1}$, the...
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Let $S=\left\{m \in \mathbf{Z}: A^{m^2}+A^m=3 I-A^{-6}\right\}$, where $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 0\end{array}\right]$. Then $n(S)$ is equal to ______.
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Let $\mathrm{S}=\left\{x: \cos ^{-1} x=\pi+\sin ^{-1} x+\sin ^{-1}(2 x+1)\right\}$. Then $\sum_{x \in \mathrm{~S}}(2 x-1)^2$ is equal to ______.
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Let $f:(0,\infty ) \to {\bf{R}}$ be a twice differentiable function. If for some ${\rm{a}} \ne 0,\int_0^1 f (\lambda x){\rm{d}}\lambda = {\rm{a}}f(x),f(1) = 1$ and $...
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The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that...
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Let [t] be the greatest integer less than or equal to t. Then the least value of $p\in \mathbb{N}$ for which $...
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Let ${{\rm{L}}_1}:\frac{{x - 1}}{1} = \frac{{y - 2}}{{ - 1}} = \frac{{z - 1}}{2}$ and $...
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Let $\overrightarrow {\rm{a}} = \hat i + 2\hat j + \hat k$ and $\overrightarrow {\bf{b}} = 2\hat i + 7\hat j + 3\hat k$ ....
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Let $\overrightarrow {\rm{a}} = 2\hat i - \hat j + 3\hat k,\overrightarrow {\;{\rm{b}}} = 3\hat i - 5\hat j + \hat k$ and $...
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Let $A = \left[ {{a_{ij}}} \right] = \left[ {\begin{array}{*{20}{c}} {{{\log }_5}128}&{{{\log }_4}5}\\ {{{\log }_5}8}&{{{\log }_4}25} \end{array}} \right]$. If ${A_{ij}}$ is the cofactor of $...
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Let ${x_1},{x_2}, \ldots .,{x_{10}}$ be ten observations such that $...
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Let ABC be a triangle formed by the lines $7x - 6y + 3 = 0,x + 2y - 31 = 0$ and $...
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Two parabolas have the same focus (4, 3) and their directrices are the x-axis and the y-axis, respectively. If these parabolas intersects at the points...
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Let $\left| {{z_1} - 8 - 2i} \right| \le 1$ and $\left| {{z_2} - 2 + 6i} \right| \le 2,{z_1},{z_2} \in {\bf{C}}$. Then the minimum...
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Let M and N respectively be the maximum and the minimum values of $...
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The value of $\mathop {\lim }\limits_{n \to \infty } \left( {\sum\limits_{k = 1}^n {\frac{{{k^3} + 6{k^2} + 11k + 5}}{{(k + 3)!}}}} \right)$ is:
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Consider an A. P. of positive integers, whose sum of the first three terms is 54 and the sum of the first twenty terms lies...
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Let the line $x + y = 1$ meet the circle ${x^2} + {y^2} = 4$ at the points A and B . If the...
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The integral $80\int_0^{\frac{\pi }{4}} {\left( {\frac{{\sin \theta + \cos \theta }}{{9 + 16\sin 2\theta }}} \right)} d\theta $ is equal to :
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The number of solutions of the equation $...
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Let $y = y(x)$ be the solution of the differential equation $...
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Let the ellipse ${{\rm{E}}_1}:\frac{{{x^2}}}{{{{\rm{a}}^2}}} + \frac{{{y^2}}}{{\;{{\rm{b}}^2}}} = 1,{\rm{a}} > {\rm{b}}$ and ${{\rm{E}}_2}:\frac{{{x^2}}}{{\;{{\rm{A}}^2}}} + \frac{{{y^2}}}{{\;{{\rm{B}}^2}}} = 1,\;{\rm{A}} < {\rm{B}}$ have same eccentricity $\frac{1}{{\sqrt 3 }}$ ....
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Define a relation R on the interval $\left[ {0,\frac{\pi }{2}} \right)$ by if and only if ${\sec ^2}x - {\tan ^2}y = 1$. Then R...
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The least value of n for which the number of integral terms in the Binomial expansion of ${(\sqrt[3]{7} + \sqrt[{12}]{{11}})^n}$ is 183, is :
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Let P be the set of seven digit numbers with sum of their digits equal to 11 . If the numbers in P are formed...
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Let the area of the region $\left\{ {(x,y):2y \le {x^2} + 3,y + |x| \le 3,y \ge |x - 1|} \right\}$ be A . Then...
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If $\alpha = 1 + \sum\limits_{r = 1}^6 {{{( - 3)}^{r - 1}}} {\quad ^{12}}{{\rm{C}}_{2r - 1}}$, then the distance of the point $(12,\sqrt 3)$...
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Let $\vec a = \widehat {\rm{i}} + \widehat {\rm{j}} + \widehat {\rm{k}},\overrightarrow {\rm{b}} = 2\widehat {\rm{i}} + 2\widehat {\rm{j}} + \widehat {\rm{k}}$ and $...
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Let M denote the set of all real matrices of order $3 \times 3$ and let $...
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Let ${{\rm{E}}_1}:\frac{{{x^2}}}{9} + \frac{{{y^2}}}{4} = 1$ be an ellipse. Ellipses ${{\rm{E}}_1}$'s are constructed such that their centres and eccentricities are same as that of ${{\rm{E}}_1}$,...
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Let $...
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If $...
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Let ${{\rm{T}}_{\rm{r}}}$ be the ${{\rm{r}}^{{\rm{th }}}}$ term of an A.P. If for some ${\rm{m}},{{\rm{T}}_{\rm{m}}} = \frac{1}{{25}},\;{{\rm{T}}_{25}} = \frac{1}{{20}}$ , and $...
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The sum, of the squares of all the roots of the equation ${x^2} + |2x - 3| - 4 = 0$, is
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Let ABCD be a trapezium whose vertices lie on the parabola ${{\rm{y}}^2} = 4{\rm{x}}$. Let the sides AD and BC of the trapezium be parallel...
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If $f(x) = \frac{{{2^x}}}{{{2^x} + \sqrt 2 }},{\rm{x}} \in $, then $\sum\limits_{{\rm{k}} = 1}^{81} f \left( {\frac{{\rm{k}}}{{82}}} \right)$ is equal to
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Let O be the origin, the point A be ${z_1} = \sqrt 3 + 2\sqrt 2 i$, the point $B\left( {{z_2}} \right)$ be such that...
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Let the equation of the circle, which touches x-axis at the point $(a,0),a > 0$ and cuts off an intercept of length b on y-axis...
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The area (in sq. units) of the region $\left\{ {(x,{\rm{y}}):0 \le {\rm{y}} \le 2|x| + 1,0 \le {\rm{y}} \le {x^2} + 1,|x| \le 3} \right\}$...
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Let $^{\rm{n}}{{\rm{C}}_{{\rm{r}} - 1}} = 28{,^{\rm{n}}}{{\rm{C}}_{\rm{r}}} = 56$ and $^{\rm{n}}{{\rm{C}}_{{\rm{r}} + 1}} = 70$. Let ${\rm{A}}(4{\mathop{\rm cost}\nolimits} ,4\sin {\rm{t}}),{\rm{B}}(2\sin {\rm{t}}, - 2\cos {\rm{t}})$ and $...
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Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $...
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$\cos \left( {{{\sin }^{ - 1}}\frac{3}{5} + {{\sin }^{ - 1}}\frac{5}{{13}} + {{\sin }^{ - 1}}\frac{{33}}{{65}}} \right)$ is equal to:
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The relation $R = \{ (x,y):x,y \in $ and $x + y$ is even is:
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Let ${\rm{A}}(x,y,z)$ be a point in xy-plane, which is equidistant from three points (0,3,2),(2,0,3) and (0,0,1). Let ${\rm{B}} = (1,4, - 1)$ and $...
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Let $\left\langle {{a_{\rm{n}}}} \right\rangle $ be a sequence such that ${a_0} = 0,{a_1} = \frac{1}{2}$ and $...
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The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0 , 1,2,3,4,5,6,7, such that the sum of...
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The sum of all local minimum values of the function $...
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Let for some function ${\rm{y}} = f(x),\int_0^x t f(t)dt = {x^2}f(x),x > 0$ and $f(2) = 3$. Then $f(6)$ is equal to
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Three defective oranges are accidently mixed with seven good ones and on looking at them, it is not possible to differentiate between them. Two oranges...
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If the image of the point (4,4,3) in the line $\frac{{x - 1}}{2} = \frac{{y - 2}}{1} = \frac{{z - 1}}{3}$ is $...
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Two number ${k_1}$ and ${k_2}$ are randomly chosen from the set of natural numbers. Then, the probability that the value of $...
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Let f be a differentiable function such that $2{(x + 2)^2}f(x) - 3{(x + 2)^2} = 10\int_0^x {(t + 2)} f(t)dt,x \ge 0$. Then $f(2)$...
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Let $S = \left\{ {{p_1},{p_2} \ldots ,{p_{10}}} \right\}$ be the set of first ten prime numbers. Let $A = S \cup P$ , where P...
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If for some $\alpha ,\beta ;\alpha \le \beta ,\alpha + \beta = 8$ and $...
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The number of 3-digit numbers, that are divisible by 2 and 3, but not divisible by 4 and 9, is
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Let A be a $3 \times 3$ matrix such that ${X^T}AX = O$ for all nonzero $3 \times 1$ matrices $...
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If $I(m,n) = \int_0^1 {{x^{m - 1}}} {(1 - x)^{n - 1}}dx,m,n > 0$, then $I(9,14) + I(10,13)$ is
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A and B alternately throw a pair of dice. A wins if he throws a sum of 5 before B throws a sum of 8,...
For some ${\rm{n}} \ne 10$, let the coefficients of the 5th, 6th and 7th terms in the binomial expansion of ${(1 + x)^{n + 4}}$...
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A compound ' $X$ ' absorbs 2 moles of hydrogen and ' $X$ ' upon oxidation with $\mathrm{KMnO}_{4}{ }^{*} \mathrm{H}^{+}$gives The total number of $\sigma$...
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The bond dissociation enthalpy of $\mathrm{X}_{2} \Delta \mathrm{H}_{\text {bond }}^{\circ}$ calculated from the given data is $\_\_\_\_$ $\mathrm{kJmol}{ }^{-1}$. (Nearest integer) \end{enumerate} $$ \begin{aligned} &...
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When 81.0 g of aluminium is allowed to react with 128.0 g of oxygen gas, the mass of aluminium oxideproduced in grams is $\_\_\_\_$ (Nearest...
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0.01 mole of an organic compound $(X)$ containing $10 \%$ hydrogen, on complete-combustion produced$0.9 \mathrm{gH}_{2} \mathrm{O}$. Molar mass of $(\mathrm{X})$ is $\_\_\_\_$ $\mathrm{gmol}^{-1}$.
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Consider the following sequence of reactions.
Total number of $\mathrm{sp}^{3}$ hybridised carbon atoms in the major product C formed is $\_\_\_\_$ .
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Standard electrode potentials for a few half cells are mentioned below : $\mathrm{E}_{\mathrm{Cu}^{2+} / \mathrm{Cu}}^{\circ}=0.34 \mathrm{~V}, \mathrm{E}_{\mathrm{Zn}^{2+} / \mathrm{Zn}}^{\circ}=-0.76 \mathrm{~V}$ $...
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Identify $\mathrm{A}, \mathrm{B}$ and C in the given below reaction sequence
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The ascending order of relative rate of solvolysis of following compounds is :
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Identify the coordination complexes in which the central metal ion has $d^{4}$ configuration.
Choose the correct answer from the options given below :
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The $\alpha$-Helix and $\beta$-Pleated sheet structures of protein are associated with its :
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Given below are the atomic numbers of some group 14 elements. The atomic number of the element with lowest melting point is :
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Given below are two statements about X -ray spectra of elements : Statement (I): A plot of $\sqrt{v}$ ( $v=$ frequency of X-rays emitted) vs...
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Identify the products [A] and [B], respectively in the following reaction:
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Given below are two statements: Statement (I): The boiling points of alcohols and phenols increase with increase in the number of C -atoms. Statement...
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Which of the following graphs most appropriately represents a zero order reaction?
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Consider a binary solution of two volatile liquid components 1 and $2 . x_{1}$ and $y_{1}$ are the mole fractions of component 1 in liquid...
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When a non-volatile solute is added to the solvent, the vapour pressure of the solvent decreases by 10 mm of Hg . The mole fraction...
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Consider the reaction $\mathrm{X}_{2} \mathrm{Y}(\mathrm{g}) \rightleftharpoons \mathrm{X}_{2}(\mathrm{~g})+\frac{1}{2} \mathrm{Y}_{2}(\mathrm{~g})$. The equation representing correct relationship between the degree of dissociation $(x)$ of $X_{2} Y(g)$ with its equilibrium...
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Match List-I with List-II
Choose the correct answer from the options given below :
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The effect of temperature on spontaneity of reactions are represented as :
The incorrect combinations are:
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Given below are two statements : Consider the following reaction Statement (I) : In the case of formaldehyde K is about 2280, due to small...
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Match List - I with List - II. List - I List - II (A) Bronze (I) (B) Brass (II) (C) UK silver coin (III)...
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Consider the following reactions
$$
\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} \xrightarrow[-\mathrm{H}_{2} \mathrm{O}]{\mathrm{KOH}}[\mathrm{~A}] \xrightarrow[-\mathrm{H}_{2} \mathrm{O}]{\mathrm{H}_{2} \mathrm{O}_{4}}[\mathrm{~B}]+\mathrm{K}_{2} \mathrm{SO}_{4}
$$
The products $[\mathrm{A}]$ and $[\mathrm{B}]$, respectively are :
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Given below are two statements : Statement (I): For a given shell, the total number of allowed orbitals is given by $\mathrm{n}^{2}$. Statement (II): For...
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pH of water is 7 at $25^{\circ} \mathrm{C}$. If water is heated to $80^{\circ} \mathrm{C}$., it's pH will :
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The molar mass of the water insoluble product formed from the fusion of chromite ore (${\rm{FeC}}{{\rm{r}}_2}{{\rm{O}}_4}$) with ${\rm{N}}{{\rm{a}}_2}{\rm{C}}{{\rm{O}}_3}$ in presence of ${{\rm{O}}_2}$ is _______ $...
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0.1 mole of compound 'S' will weigh ______ g.
(Given molar mass in ${\rm{gmo}}{{\rm{l}}^{ - 1}}{\rm{C}}:12,{\rm{H}}:1,{\rm{O}}:16$ )
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Given below are some nitrogen containing compounds
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The sum of sigma ($\sigma$) and pi ($\pi$) bonds in Hex-1,3-dien-5-yne is
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If ${{\rm{A}}_2}\;{\rm{B}}$ is 30% ionised in an aqueous solution, then the value of van't Hoff factor (i) is ____$ \times {10^{ - 1}}$.
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The standard reduction potential values of some of the p-block ions are given below. Predict the one with the strongest oxidising capacity.
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Match List - I with List - II.
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The reaction ${A_2} + {B_2} \to 2{\rm{AB}}$ follows the mechanism
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An element 'E' has the ionisation enthalpy value of $374\;{\rm{kJ}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}$. 'E' reacts with elements A, B, C and D with electron gain enthalpy...
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The product (P) formed in the following reaction is :
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In the following substitution reaction :
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Match List - I with List - II.
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Given below are two statements : Statement (I) : The radii of isoelectronic species increases in the order. $...
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Total number of nucleophiles from the following is :
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Match List - I with List - II.
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The molar conductivity of a weak electrolyte when plotted against the square root of its concentration, which of the following is expected to be observed...
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The correct increasing order of stability of the complexes based on ${\Delta _0}$ value is : I. ${\left[ {{\rm{Mn}}{{({\rm{CN}})}_6}} \right]^{3 - }}$ II. $...
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If ${a_0}$ is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength $(\lambda )$ of the electron present in the...
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At temperature T, compound ${\rm{A}}{{\rm{B}}_{2(\;{\rm{g}})}}$ dissociates as ${\rm{A}}{{\rm{B}}_{2(\;{\rm{g}})}}$ ⇌ ${\rm{AB}}({\rm{g}}) + \frac{1}{2}\;{{\rm{B}}_{2(\;{\rm{g}})}}$ having degree of dissociation x (small compared to unity). The correct expression for...
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For a ${\rm{Mg}}\left| {{\rm{M}}{{\rm{g}}^{2 + }}({\rm{aq}})} \right|\left| {{\rm{A}}{{\rm{g}}^ + }({\rm{aq}})} \right|{\rm{Ag}}$ the correct Nernst Equation is :
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The correct option with order of melting points of the pairs $({\rm{Mn}},{\rm{Fe}}),({\rm{Tc}},{\rm{Ru}})$ and $({\rm{Re}},{\rm{Os}})$ is :
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1.24 g of ${\rm{A}}{{\rm{X}}_2}$ (molar mass $124\;{\rm{g}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}$) is dissolved in 1 kg of water to form a solution with boiling point of $...
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500 J of energy is transferred as heat to 0.5 mol of Argon gas at 298 K and 1.00 atm . The final temperature and...
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For the circuit shown above, equivalent GATE is :
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Consider the following sequence of reactions:
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Given below is the plot of the molar conductivity vs $\sqrt {{\rm{ concentration }}}$ for KCl in aqueous solution.
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Quantitative analysis of an organic compound (X) shows following % composition. C : 14.5% Cl : 64.46% H: 1.8% (Empirical formula mass of the compound...
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The formation enthalpies, $\Delta {{\rm{H}}_{\rm{f}}}^ \ominus $ for ${{\rm{H}}_{({\rm{g}})}}$ and ${{\rm{O}}_{({\rm{g}})}}$ are 220.0 and $250.0\;{\rm{kJ}}\;{\rm{mo}}{{\rm{l}}^{ - 1}}$ , respectively, at 298.15 K, and $...
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The molarity of a 70% (mass/mass) aqueous solution of a monobasic acid (X) is _____ $ \times {10^{ - 1}}$ M(Nearest integer) [Given: Density of...
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Consider ' n ' is the number of lone pair of electrons present in the equatorial position of the most stable structure of ${\rm{Cl}}{{\rm{F}}_3}$. The...
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Ice and water are placed in a closed container at a pressure of 1 atm and temperature 273.15 K . If pressure of the system...
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The molecules having square pyramidal geometry are
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The correct order of stability of following carbocations is :
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What is the freezing point depression constant of a solvent, 50 g of which contain 1 g non volatile solute (molar mass $256\;{\rm{g}}\;{\rm{mo}}{{\rm{l}}^{-1}}$) and the...
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For the circuit shown above, equivalent GATE is : 