Q JEE Advance 2009

A cylindrical vessel of height 500 mm has an orifice (small hole) at its bottom. The orifice is initially closed...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. These have masses...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A 20 cm long string, having a mass of 1.0 g , is fixed at both the ends. The tension...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Two soap bubbles A and B are kept in a closed chamber where the air is maintained at pressure $...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A metal rod AB of length 10 x has its one end A in ice at $0^{\circ} \mathrm{C}$ and the...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A solid sphere of radius $R$ has a charge $Q$ distributed in its volume with a charge density $\rho=\mathrm{kr}^{\mathrm{a}}$, where...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A steady current I goes through a wire loop PQR having shape of a right angle triangle with $...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Two metallic rings $A$ and $B$, identical in shape and size but having different resistivities $\rho_A$ and $\rho_B$, are kept...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

The figure shows the P-V plot of an ideal gas taken through a cycle ABCDA . The part ABC is...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Under the influence of the electric field of charge $+Q$, a charge $-q$ is moving around it in an elliptical...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

The mass M shown in the figure oscillates in simple harmonic motion with amplitude A . The amplitude of the...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A piece of wire is bent in the shape of a parabola $y=k x^2$ ( $y$-axis vertical) with a bead...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Photoelectric effect experiments are performed using three different metal plates $p, q$ and $r$ having work functions $...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Let $(\mathrm{x}, \mathrm{y}, \mathrm{z})$ be points with integer coordinates satisfying the system of homogeneous equations: $$ \begin{array}{r} 3 x-y-z=0 \\...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $p(x)$ be a polynomial of degree 4 having extremum at $x=1,2$ and $\lim _{x \rightarrow 0}\left(1+\frac{p(x)}{x^2}\right)=2$. Then the value...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

If the function $\mathrm{f}(\mathrm{x})=\mathrm{x}^3+\mathrm{e}^{\mathrm{x} / 2}$ and $\mathrm{g}(\mathrm{x})=\mathrm{f}^{-1}(\mathrm{x})$, then the value of $\mathrm{g}^{\prime}(1)$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let ABC and $\mathrm{ABC}^{\prime}$ be two non-congruent triangles with sides $\mathrm{AB}=4, \mathrm{AC}=\mathrm{AC}^{\prime}=2 \sqrt{2}$ and angle $\mathrm{B}= 30^{\circ}$. The absolute value...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The maximum value of the function $f(x)=2 x^3-15 x^2+36 x-48$ on the set $A=\left\{x\left|x^2+20 \leq 9 x\right|\right\}$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The smallest value of $k$, for which both the roots of the equation $x^2-8 k x+16\left(k^2-k+1\right)=0$ are real, distinct and...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The centres of two circles $C_1$ and $C_2$ each of unit radius are at a distance of 6 units from...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $f: R \rightarrow R$ be a continuous function which satisfies $f(x)=\int_0^x f(t) d t$. Then the value of $...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

If $I_n=\int_{-\pi}^\pi \frac{\sin n x}{\left(1+\pi^x\right) \sin x} d x, n=0,1,2, \ldots$, then

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

An ellipse intersects the hyperbola $2 x^2-2 y^2=1$ orthogonally. The eccentricity of the ellipse is reciprocal of that of the...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

For $0

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

For function $f(x)=x \cos \frac{1}{x}, x \geq 1$,

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The tangent PT and the normal PN to the parabola $y^2=4 a x$ at a point $P$ on it meet...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

If the sum of first $n$ terms of an A.P. is $\mathrm{cn}^2$, then the sum of squares of these $n$...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

A line with positive direction cosines passes through the point $\mathrm{P}(2,-1,2)$ and makes equal angles with the coordinate axes. The...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The locus of the orthocentre of the triangle formed by the lines $(1+p) x-p y+p(1+p)=0,(1+q) x-q y+ q(1+q)=0$ and $y=0$,...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The normal at a point P on the ellipse $\mathrm{x}^2+4 \mathrm{y}^2=16$ meets the x -axis at Q . If M...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

At 400 K , the root mean square (rms) speed of a gas $\mathbf{X}$ (molecular weight $=40$ ) is equal...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The total number of $\alpha$ and $\beta$ particles emitted in the nuclear reaction ${ }_{92}^{238} \mathrm{U} \rightarrow{ }_{82}^{214} \mathrm{~Pb}$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The total number of cyclic structural as well as stereo isomers possible for a compound with the molecular formula $...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The dissociation constant of a substituted benzoic acid at $25^{\circ} \mathrm{C}$ is $1.0 \times 10^{-4}$. The pH of a 0.01...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

In a constant volume calorimeter, 3.5 g of a gas with molecular weight 28 was burnt in excess oxygen at...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The coordination number of Al in the crystalline state of $\mathrm{AlCl}_3$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The number of water molecule(s) directly bonded to the metal centre in $\mathrm{CuSO}_4 \cdot 5 \mathrm{H}_2 \mathrm{O}$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The oxidation number of Mn in the product of alkaline oxidative fusion of $\mathrm{MnO}_2$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

For the reduction of $\mathrm{NO}_3^{-}$ion in an aqueous solution, $\mathrm{E}^0$ is +0.96 V . Values of $\mathrm{E}^0$ for some metal...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

Among the following, the state function(s) is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The correct statement(s) about the following sugars $\mathbf{X}$ and $\mathbf{Y}$ is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

In the reaction $ 2 \mathbf{X}+\mathrm{B}_2 \mathrm{H}_6 \rightarrow\left[\mathrm{BH}_2(\mathbf{X})_2\right]^{+}\left[\mathrm{BH}_4\right]^{-} $ the amine(s) $\mathbf{X}$ is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The nitrogen oxide(s) that contain(s) $\mathrm{N}-\mathrm{N}$ bond(s) is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

For a first order reaction $\mathrm{A} \rightarrow \mathrm{P}$, the temperature (T) dependent rate constant $(k)$ was found to follow the...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The spin only magnetic moment value (in Bohr magneton units) of $\mathrm{Cr}(\mathrm{CO})_6$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The correct stability order of the following resonance structures is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

In the following carbocation. $\mathrm{H} / \mathrm{CH}_3$ that is most likely to migrate to the positively charged carbon is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, ${ }_1^2 \mathrm{H}$ known as deuteron and...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, ${ }_1^2 \mathrm{H}$ known as deuteron and...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Scientists are working hard to develop nuclear fusion reactor. Nuclei of heavy hydrogen, ${ }_1^2 \mathrm{H}$ known as deuteron and...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

When a particle is restricted to move along x -axis between $\mathrm{x}=0$ and $\mathrm{x}=\mathrm{a}$, where a is of nanometer dimension,...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

When a particle is restricted to move along x -axis between $\mathrm{x}=0$ and $\mathrm{x}=\mathrm{a}$, where a is of nanometer dimension,...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

When a particle is restricted to move along x -axis between $\mathrm{x}=0$ and $\mathrm{x}=\mathrm{a}$, where a is of nanometer dimension,...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

If the resultant of all the external forces acting on a system of particles is zero, then from an inertial...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A student performed the experiment of determination of focal length of a concave mirror by $u-v$ method using an optical...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

$\mathrm{C}_{\mathrm{v}}$ and $\mathrm{C}_{\mathrm{p}}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

For the circuit shown in the figure

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A block of base $10 \mathrm{~cm} \times 10 \mathrm{~cm}$ and height 15 cm is kept on an inclined plane. The...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at $...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Three concentric metallic spherical shells of radii $\mathrm{R}, 2 \mathrm{R}, 3 \mathrm{R}$, are given charges $\mathrm{Q}_1, \mathrm{Q}_2, \mathrm{Q}_3$, respectively. It...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

A disk of radius a/4 having a uniformly distributed charge 6C is placed in the $x-y$ plane with its centre...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit....

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of...

JEE Advance Physics Easy

View Solution →

Q JEE Advance 2009

Let $\mathscr{A}$ be the set of all $3 \times 3$ symmetric matrices all of whose entries are either 0 or...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $\mathscr{A}$ be the set of all $3 \times 3$ symmetric matrices all of whose entries are either 0 or...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $\mathscr{A}$ be the set of all $3 \times 3$ symmetric matrices all of whose entries are either 0 or...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Area of the region bounded by the curve $\mathrm{y}=\mathrm{e}^{\mathrm{x}}$ and lines $\mathrm{x}=0$ and $\mathrm{y}=\mathrm{e}$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $\mathrm{L}=\lim _{\mathrm{x} \rightarrow 0} \frac{\mathrm{a}-\sqrt{\mathrm{a}^2-\mathrm{x}^2}-\frac{\mathrm{x}^2}{4}}{\mathrm{x}^4}, \mathrm{a}>0$. If L is finite, then

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

If $\frac{\sin ^4 x}{2}+\frac{\cos ^4 x}{3}=\frac{1}{5}$, then

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

In a triangle $A B C$ with fixed base $B C$, the vertex $A$ moves such that $...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Tangents drawn from the point $P(1,8)$ to the circle $x^2+y^2-6 x-4 y-11=0$ touch the circle at the points A and...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $f$ be a non-negative function defined on the interval $[0,1]$. If $...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $P(3,2,6)$ be a point in space and $Q$ be a point on the line $\vec{r}=(\hat{i}-\hat{j}+2 \hat{k})+\mu(-3 \hat{i}+\hat{j}+5 \hat{k})$. Then...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $\mathrm{z}=\cos \theta+\mathrm{i} \sin \theta$. Then the value of $\sum_{\mathrm{m}=1}^{15} \operatorname{Im}\left(\mathrm{z}^{2 \mathrm{~m}-1}\right)$ at $\theta=2^{\circ}$ is

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

The line passing through the extremity A of the major axis and extremity B of the minor axis of the...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

If $\vec{a}, \vec{b}, \vec{c}$ and $\vec{d}$ are unit vectors such that $(\vec{a} \times \vec{b}) \cdot(\vec{c} \times \vec{d})=1$ and $...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

Let $z=x+$ iy be a complex number where $x$ and $y$ are integers. Then the area of the rectangle whose...

JEE Advance Mathematics Easy

View Solution →

Q JEE Advance 2009

$p$-Amino- $N, N$-dimethylaniline is added to a strongly acidic solution of $\mathbf{X}$. The resulting solution is treated with a few...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

$p$-Amino- $N, N$-dimethylaniline is added to a strongly acidic solution of $\mathbf{X}$. The resulting solution is treated with a few...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

$p$-Amino- $N, N$-dimethylaniline is added to a strongly acidic solution of $\mathbf{X}$. The resulting solution is treated with a few...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

A carbonyl compound $\mathbf{P}$, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

A carbonyl compound $\mathbf{P}$, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

A carbonyl compound $\mathbf{P}$, which gives positive iodoform test, undergoes reaction with MeMgBr followed by dehydration to give an olefin...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The correct statement(s) regarding defects in solids is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The compound(s) that exhibit(s) geometrical isomerism is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The correct statement(s) about the compound $\mathrm{H}_3 \mathrm{C}(\mathrm{HO}) \mathrm{HC}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}(\mathrm{OH}) \mathrm{CH}_3(\mathbf{X})$ is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The compound(s) formed upon combustion of sodium metal in excess air is(are)

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The term that corrects for the attractive forces present in a real gas in the van der Waals equation is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

Among the electrolytes $\mathrm{Na}_2 \mathrm{SO}_4, \mathrm{CaCl}_2, \mathrm{Al}_2\left(\mathrm{SO}_4\right)_3$ and $\mathrm{NH}_4 \mathrm{Cl}$, the most effective coagulating agent for $\mathrm{Sb}_2 \mathrm{~S}_3$ sol is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The IUPAC name of the following compound is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

Given that the abundances of isotopes ${ }^{54} \mathrm{Fe},{ }^{56} \mathrm{Fe}$ and ${ }^{57} \mathrm{Fe}$ are $5 \%, 90 \%$...

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attraction is weakest is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The reaction of $\mathrm{P}_4$ with $\mathbf{X}$ leads selectively to $\mathrm{P}_4 \mathrm{O}_6$. The $\mathbf{X}$ is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The correct acidity order of the following is

JEE Advance Chemistry Easy

View Solution →

Q JEE Advance 2009

The Henry's law constant for the solubility of $\mathrm{N}_2$ gas in water at 298 K is $1.0 \times 10^5 \mathrm{~atm}$....

JEE Advance Chemistry Easy

View Solution →