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Q JEE MAIN 2019
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 $x, y$ and $z$ directions...
JEE Main Physics Hard
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Q JEE MAIN 2019
A magnetic compass needle oscillates 30 times per minute at a place where the dip is $45^{\circ}$, and 40 times per minute where the dip...
JEE Main Physics Easy
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Q JEE MAIN 2019
A point dipole $\hat{p}=-p_0 \hat{x}$ is kept at the origin. The potential and electric field due to this dipole on the $y$-axis at a distance...
JEE Main Physics Medium
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Q JEE MAIN 2019
A galvanometer of resistance $100 \Omega$ has 50 divisions on its scale and has sensitivity of $20 \mu \mathrm{~A} /$ division. It is to be...
JEE Main Physics Hard
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Q JEE MAIN 2019
In a double slit experiment, when a thin film of thickness $t$ having refractive index $\mu$ is introduced in front of one of the slits,...
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Q JEE MAIN 2019
The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. The value...
JEE Main Physics Easy
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Q JEE MAIN 2019
A shell is fired from a fixed artillery gun with an initial speed $u$ such that it hits the target on the ground at a...
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Q JEE MAIN 2019
The value of numerical aperture of the objective lens of a microscope is 1.25. If light of wavelength 5000 Å is used, the minimum separation...
JEE Main Physics Medium
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Q JEE-MAIN 2019
Determine the electric dipole moment of the system of three charges, placed on the vertices of an equilateral triangle, as shown in the figure
JEE Main Physics Easy
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Q JEE-MAIN 2019
In the figure shown, after the switch ‘S’ is turned from position ‘A’ to position ‘B’, the energy dissipated in the circuit in terms of...
JEE Main Physics Easy
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Q JEE-MAIN 2019
What is the position and nature of image formed by lens combination shown in figure? ( $f_1, f_2$ are focal lengths)
JEE Main Physics Easy
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Q JEE-MAIN 2019
A light wave is incident normally on a glass slab of refractive index 1.5. If 4% of light gets reflected and the amplitude of the...
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Q JEE-MAIN 2019
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 quantization conditions are applied, radii...
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Q JEE MAIN 2019
The position co-ordinates of a particle moving in a 3-D coordinate system is given by $x=a \cos \omega t, y=a \sin \omega t$, and $...
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Q JEE-MAIN 2019
A point source of light, S is placed at a distance L in front of the centre of plane mirror of width d which is...
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Q JEE MAIN 2019
The top of a water tank is open to air and its water level is maintained. It is giving out $0.74 \mathrm{~m}^3$ water per minute...
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Q JEE-MAIN 2019
A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass,...
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Q JEE MAIN 2019
A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the influence of a magnetic field...
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Q JEE-MAIN 2019
A particle A of mass ‘m’ and charge ‘q’ is accelerated by a potential difference of 50 V. Another particle B of mass ‘4 m’...
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Q JEE MAIN 2019
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 are constants. If $Q$ is...
JEE Main Physics Easy
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Q JEE MAIN 2019
Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror ( $\mathrm{M}_1$ ) and parallel to...
JEE Main Physics Medium
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Q JEE-MAIN 2019
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis...
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Q JEE MAIN 2019
A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations; if two masses each of...
JEE Main Physics Hard
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Q JEE-MAIN 2019
A simple pendulum, made of a string of length $I$ and a bob of mass $m$, is released from a small angle $\theta 0$. It...
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Q JEE MAIN 2019
Expression for time in terms of G(universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:
JEE Main Physics Medium
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Q JEE-MAIN 2019
Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod AB of length l and...
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Q JEE-MAIN 2019
A 100 V carrier wave is made to vary between 160 V and 40 V by a modulating signal. What is the modulation index?
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Q JEE-MAIN 2019
Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If...
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Q JEE-MAIN 2019
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed...
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Q JEE MAIN 2019
A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power...
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Q JEE-MAIN 2019
A cylinder of radius $R$ is surrounded by a cylindrical shell of inner radius $R$ and outer radius $2 R$. The thermal conductivity of the...
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Q JEE-MAIN 2019
An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m and...
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Q JEE MAIN_2019
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 seconds. The time taken for...
JEE Main Physics Medium
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Q JEE MAIN 2019
A rod of length 50 cm is pivoted at one end. It is raised such that it makes an angle of $30^{\circ}$ from the horizontal...
JEE Main Physics Hard
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Q JEE-MAIN 2019
As shown in the figure, two infinitely long, identical wires are bent by $90^{\circ}$ and placed in such a way that the segments LP and...
JEE Main Physics Easy
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Q JEE MAIN_2019
Given below in the left column are different modes of communication using the kinds of waves given in the right column. A. Optical Fibre P....
JEE Main Physics Hard
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Q JEE ADVANCED 2025
Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter D...
JEE Main Physics Easy
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Q JEE MAIN 2019
The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively. When the screw...
JEE Main Physics Easy
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Q JEE MAIN_2019_
A current of 5 A passes through a copper conductor (resistivity $=1.7 \times 10^{-8} \Omega \mathrm{~m}$ ) of radius of cross-section 5 mm . Find...
JEE Main Physics Medium
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Q JEE ADVANCED 2025
A conducting square loop initially lies in the XZ plane with its lower edge hinged along the X-axis. Only in the region y $\geq 0$,...
JEE Main Physics Easy
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Q JEE-MAIN 2019
The output of the given logic circuit is
JEE Main Physics Easy
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Q JEE MAIN_2019_
In a meter bridge experiment, the circuit diagram and the corresponding observation table are shown in figure
JEE Main Physics Easy
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Q JEE-MAIN 2019
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 its resistance R with length...
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Q JEE MAIN_2019_
The electric field of a plane electromagnetic wave is given by $$ \overline{\mathrm{E}}=\mathrm{E}_0 \hat{\mathrm{i}} \cos (\mathrm{kz}) \cos (\omega \mathrm{t}) $$ The corresponding magnetic field $\bar{B}$...
JEE Main Physics Easy
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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 and passes finishing point with...
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Q JEE MAIN_2019_
One plano-convex and one plano-concave lens of same radius of curvature ' R ' but of different materials are joined side by side as shown...
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Q JEE MAIN 2019
The magnetic field associated with a light wave is given, at the origin, by $\mathrm{B}=\mathrm{B}_0\left[\sin \left(3.14 \times 10^7\right) \mathrm{ct}+\sin \left(6.28 \times 10^7\right) \mathrm{ct}\right]$. If this...
JEE Main Physics Hard
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Q JEE MAIN 2019
For the given cyclic process CAB as shown for a gas, the work done is
JEE Main Physics Easy
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Q JEE ADVANCED 2025
In a scattering experiment, a particle of mass 2m collides with another particle of mass m, which is initially at rest. Assuming the collision to...
JEE Advance Physics Easy
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Q JEE-MAIN 2019
A proton and an $\alpha$-particle (with their masses in the ratio of $1: 4$ and charges in the ratio of $1: 2$ ) are accelerated...
JEE Main Physics Easy
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Q JEE MAIN 2019
A force acts on a 2 kg object so that its position is given as a function of time as $x=3 t^2+5$. What is the...
JEE Main Physics Easy
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Q JEE ADVANCED 2025
The center of a disk of radius r and mass m is attached to a spring of spring constant k, inside a ring of radius...
JEE Advance Physics Easy
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Q JEE MAIN_2019_
A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular...
JEE Main Physics Easy
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Q JEE-MAIN 2019
There is a uniform spherically symmetric surface charge density at a distance $\mathrm{R}_0$ from the origin. The charge distribution is initially at rest and starts...
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Q JEE MAIN 2019
The energy required to take a satellite to a height ' $h$ ' above Earth surface (radius of Earth $=6.4 \times 10^3 \mathrm{~km}$ ) is...
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Q JEE-MAIN 2019
A travelling harmonic wave is represented by the equation $y(x, t)=10^{-3} \sin (50 t+2 x)$, where $x$ and $y$ are in meter and $t$ is...
JEE Main Physics Easy
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Q JEE MAIN 2019
Two Carnot engines A and B are operated in series. The first one, A, receives heat at $T_1(=600 \mathrm{~K})$ and rejects to a reservoir at...
JEE Main Physics Medium
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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 on the roof at some...
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Q JEE MAIN 2019
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 $\mathrm{x}=4 \mathrm{~m}$ respectively. The electric...
JEE Main Physics Medium
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Q JEE MAIN 2020
Let $f(x)=x \cdot\left[\frac{x}{2}\right]$ for $-10
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word...
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Q JEE MAIN 2020
The natural number m , for which the coefficient of $x$ in the binomial expansion of $\left(x^m+\frac{1}{x^2}\right)^{22}$ is 1540 , is $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the line, $2 x-y+3=0$ is at a distance $\frac{1}{\sqrt{5}}$ and $\frac{2}{\sqrt{5}}$ from the lines $4 x-2 y+\alpha=0$ and $6 x-3 y+\beta=0$, respectively, then the...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five,...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the volume of a parallelopiped, whose coterminus edges are given by the vectors $\vec{a}=\hat{i}+\hat{j}+n \hat{k}, \vec{b}=2 \hat{i}+4 \hat{j}-n \hat{k}$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the point $P$ on the curve, $4 x^2+5 y^2=20$ is farthest from the point $\mathrm{Q}(0,-4)$, then $\mathrm{PQ}^2$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The product of the roots of the equation $9 x^2-18 |x|+5=0$, is :
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Q JEE MAIN 2020
If $2^{10}+2^9 \cdot 3^1+2^8 \cdot 3^2+\ldots .+2 \cdot 3^9+3^{10}=S-2^{11}$, then $S$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2020
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them,...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the minimum and the maximum values of the function $f: f:\left[\frac{\pi}{4}, \frac{\pi}{2}\right] \rightarrow R$, defined by $$ f(\theta)=\left|\begin{array}{ccc} -\sin ^2 \theta & -1-\sin ^2...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\alpha$ is the positive root of the equation, $p(x)=x^2-x -2=0$, then $\lim _{x \rightarrow \alpha^{+}} \frac{\sqrt{1-\cos (p(x))}}{x+\alpha-4}$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the four complex numbers $z, \bar{z}, \bar{z}-2 \operatorname{Re}(\bar{z})$ and $z-2 \operatorname{Re}(z)$ represent the vertices of a square of side 4 units in the Argand...
JEE Main Mathematics Hard
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Q JEE MAIN 2020
The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference...
JEE Main Mathematics Hard
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Q JEE MAIN 2020
If $3^{2 \sin 2 \alpha-1}, 14$ and $3^{4-2 \sin 2 \alpha}$ are the first three terms of an A.P. for some $\alpha$, then the sixth...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $(a, b, c)$ is the image of the point $(1,2,-3)$ in the line, $\frac{x+1}{2}=\frac{y-2}{-2}=\frac{z}{-1}$, then $a+b+c$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If S is the sum of the first 10 terms of the series
$\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)+\tan ^{-1}\left(\frac{1}{21}\right)+\ldots \ldots$
then tan(S) is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The value of $\int_{-\pi / 2}^{\pi / 2} \frac{1}{1+\mathrm{e}^{\sin x}} \mathrm{dx}$ is:
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let $A D$ and $B C$ be two vertical poles at $A$ and $B$ respectively on a horizontal ground. If $...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $y=y(x)$ is the solution of the differential equation $\frac{5+\mathrm{e}^{\mathrm{x}}}{2+\mathrm{y}} \cdot \frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{e}^{\mathrm{x}}=0$ satisfying $\mathrm{y}(0)=1$, then a value of $y\left(\log _e 13\right)$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\vec{a}$ and $\vec{b}$ are unit vectors, then the greatest value of $\sqrt{3}|\vec{a}+\vec{b}|+|\vec{a}-\vec{b}|$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The set of all values of $\lambda$ for which the system of linear equations $$ \begin{aligned} & x-2 y-2 z=\lambda x ; \quad x+2 y+z=\lambda...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The total number of irrational terms in the binomial expansion of $\left(7^{1 / 5}-3^{1 / 10}\right)^{60}$ is :
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Q JEE MAIN 2020
The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is...
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Q JEE MAIN 2019
if the sum of the first 15 terms of the series $\left(\frac{3}{4}\right)^3+\left(1 \frac{1}{2}\right)^3+\left(2 \frac{1}{4}\right)^3+3^3+\left(3 \frac{3}{4}\right)^3+\ldots$. is equal to $225 k$, then $k$ is equal to...
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Q JEE MAIN 2019
$\lim _{x \rightarrow 1} \frac{\sqrt{\pi}-\sqrt{2 \sin ^{-1} x}}{\sqrt{1-x}}$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes is bisected at P, then...
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Q JEE MAIN 2020
If $\alpha$ and $\beta$ be two roots of the equation $x^2-64 x+256=0$. Then the value of $\left(\frac{\alpha^3}{\beta^5}\right)^{1 / 8}+\left(\frac{\beta^3}{\alpha^5}\right)^{1 / 8}$ is :
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Q JEE MAIN 2019
The equation of a tangent to the parabola, $x^2=8 y$, which makes an angle $\theta$ with the positive direction of $x$-axis, is:
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Q JEE MAIN 2020
Let $a, b, c, d$ and $p$ be any non zero distinct real numbers such that $\left(a^2+b^2+c^2\right) p^2-2(a b+b c+c d) p+\left(b^2+c^2+d^2\right)=0$. Then :
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The integral $\int \frac{3 x+2 x}{\left(2 x^4+3 x^2+1\right)^4} d x$ is equal to (where C is a constant of integration)
JEE Main Physics Medium
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Q JEE MAIN 2020
If $\sum_{i=1}^n\left(x_i-a\right)=n$ and $\sum_{i=1}^n\left(x_i-a\right)^2=n a,(n, a>1)$ then the standard deviation of $n$ observations $x_1, x_2, \ldots, x_n$ is :
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Q JEE MAIN 2019
$\lim _{n \rightarrow \infty}\left(\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\frac{n}{n^2+3^2}+\ldots \ldots+\frac{1}{5 n}\right)$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2019
If a circle of radius R pases through the origin O and intersects the coordinate axes at A and B, then the locus of the...
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Q JEE MAIN 2019
If ${ }^{\mathrm{n}} \mathrm{C}_4,{ }^{\mathrm{n}} \mathrm{C}_5$ and ${ }^{\mathrm{n}} \mathrm{C}_6$ are in A.P., then n can be :
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The position of a moving car at time $t$ is given by $f(t)=a t^2+b t+c, t>0$, where $a, b$ and $c$ are real numbers greater...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
The number of integral values of $m$ for which the quadratic expression, $(1+2 m) x^2-2(1+3 m) x+4(1+m)$, $x \in R$, is always positive, is:
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Q JEE MAIN 2020
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, $\frac{x^2}{4}+\frac{y^2}{2}=1$ from any of...
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Q JEE MAIN 2020
Consider the data on $x$ taking the values $0,2,4,8$, $\ldots, 2^n$ with frequencies ${ }^n C_0,{ }^n C_1,{ }^n C_2, \ldots,{ }^n C_n$ respectively. If...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $z_1$ and $z_2$ be two complex numbers satisfying $\left|z_1\right|=9$ and $\left|z_2-3-4 i\right|=4$. Then the minimum value of $\mid z_1- \mathrm{z}_2$ | is
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the common tangent to the parabolas, $y^2=4 x$ and $x^2=4 y$ also touches the circle, $x^2+y^2=c^2$, then c is equal to:
JEE Main Mathematics Medium
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Q JEE MAIN 2020
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Q JEE MAIN 2019
If an angle between the line, $\frac{x+1}{2}=\frac{y-2}{1}=\frac{z-3}{-2}$ and the plane, $x-2 y-k z=3$ is $\cos ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)$
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $S$ be the set of all real values of $\lambda$ such that a plane passing through the points $\left(-\lambda^2, 1,1\right)$, $\_\_\_\_$ $\left(1,-\lambda^2, 1\right)$ and...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The number of words (with or without meaning) that can be formed from all the letters of the word “LETTER” in which vowels never come...
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Q JEE MAIN 2020
If the co-ordinates of two points $A$ and $B$ are $(\sqrt{7}, 0)$ and $(-\sqrt{7}, 0)$ respectively and $P$ is any point on the conic, $...
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Q JEE MAIN 2019
The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4; then the...
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Q JEE MAIN 2020
The negation of the Boolean expression $x \leftrightarrow \sim y$ is equivalent to:
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Q JEE MAIN 2020
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Q JEE MAIN 2019
The expression $\sim(\sim p \rightarrow q)$ is logically equivalent to
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Q JEE MAIN 2020
The sum of distinct values of λ for which the system of equations (λ – 1)x + (3λ + 1)y + 2λz = 0 (λ...
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Q JEE MAIN 2019
Let $Z$ be the set of integers. If $A=\left\{x \in Z: 2^{(x+2)\left(x^2-5 x+9\right)}=1\right\}$ and $B=\{x \in Z:-3<2 x-1<9\}$, then the number of subsets of the...
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Q JEE MAIN 2020
The area (in sq. units) of the region $A=\left\{(x, y)\right.$ : $\left.|x|+|y| \leq 1,2 y^2 \geq|x|\right\}$ is :
JEE Main Mathematics Hard
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Q JEE MAIN 2020
If the function $f(x)\left\{\begin{array}{ll}k_1(x-\pi)^2-1, & x \leq \pi \\ k_2 \cos x, & x>\pi\end{array}\right.$ is twice differentiable, then the ordered pair $\left(k_1, k_2\right)$ is equal...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of...
JEE Main Mathematics Medium
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Q JEE MAIN
The values of $\lambda$ and $\mu$ for which the system of linear equations
$$ \begin{aligned} & x+y+z=2 \\ & x+2 y+3 z=5 \\ & x+3...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let $\lambda \in \mathrm{R}$. The system of linear equations $$ \begin{aligned} & 2 x_1-4 x_2+\lambda x_3=1 \\ & x_1-6 x_2+x_3=2 \\ & \lambda x_1-10 x_2+4...
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Q JEE MAIN 2020
Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1,...
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Q JEE MAIN 2019
$$ \text { The correct order of the oxidation states of nitrogen in NO, N2O, NO2, and N2O3 is } $$
JEE Main Chemistry Easy
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Q JEE MAIN 2019
The element having greatest difference between its first and second ionization energies, is
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Q JEE MAIN 2019
JEE Main Chemistry Easy
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Q JEE MAIN 2019
For a reaction, $\mathrm{N}_2(\mathrm{~g})+3 \mathrm{H}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NH}_3(\mathrm{~g})$; Identify dihydrogen $\left(\mathrm{H}_2\right)$ as a limiting reagent in the following reaction mixtures.
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Q JEE MAIN_2019_
Major products of the following reaction are :
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Q JEE MAIN_2019_
The species that can have a trans-isomer is : (en = ethane-1, 2-diamine, ox = oxalate)
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Q JEE MAIN 2019
Excessive release of $\mathrm{CO}_2$ into the atmosphere results in
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Q JEE MAIN_2019_
The major product of the following reaction is :
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Q JEE MAIN 2019
Among the following, the INCORRECT statement about colloids is
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Q JEE MAIN_2019_
Increasing rate of $\mathrm{S}_{\mathrm{N}} 1$ reaction in the following compounds is:
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Q JEE MAIN 2019
In which one of the following equilibria, $\mathrm{K}_{\mathrm{P}} \neq \mathrm{K}_{\mathrm{C}}$ ?
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Q JEE MAIN 2019
Among the following, the molecule expected to be stabilized by anion formation is
$\mathrm{C}_2, \mathrm{O}_2, \mathrm{NO}, \mathrm{F}_2$
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Q JEE MAIN 2019
25 g of an unknown hydrocarbon upon burning produces 88 g of $\mathrm{CO}_2$ and 9 g of $\mathrm{H}_2 \mathrm{O}$. This unknown hydrocarbon contains:
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Q JEE MAIN_2019_
A process will be spontaneous at all temperatures if
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Q JEE MAIN_2019_
Ethylamine $\left(\mathrm{C}_2 \mathrm{H}_5 \mathrm{NH}_2\right)$ can be obtained from Nethylphthalimide on treatment with:
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Q JEE MAIN 2019
The major product of the following reaction
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Q JEE MAIN 2019
An ‘Assertion’ and a ‘Reason’ are given below.
Choose the correct answer from the following options :
Assertion (A) : Vinyl halides do not undergo...
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Q JEE MAIN 2019
The major product of the following reaction is
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Q JEE MAIN_2019_
The alloy used in the construction of aircrafts is :
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Q JEE MAIN_2019_
The isoelectronic set of ions is :
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Q JEE MAIN 2019
Consider the van der Waals constants, a and b, for the following gases.
Which gas is expected to have the highest critical temperature?
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Q JEE-MAIN 2019
In the Hall-Heroult process, aluminium is formed at the cathode. The cathode is made out of
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Consider the hydrated ions of $\mathrm{Ti}^{2+}, \mathrm{V}^{2+}, \mathrm{Ti}^{3+}$, and $\mathrm{Sc}^{3+}$. The correct order of their spin-only magnetic moments is i.
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Decomposition of X exhibits a rate constant of 0.05 g/year. How many years are required for the decomposition of 5 g of X into 2.5...
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Q JEE MAIN_2019_
The major product of the following reaction is :
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Q JEE MAIN 2019
The compound used in the treatment of lead poisoning is :
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The correct statement regarding the given Ellingham diagram is
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The standard electrode potential $E^{\circ}$ and its temperature coefficient $\left(\frac{d E^{\circ}}{d T}\right)$ for a cell are $2 V$ and $-5 \times 10^{-4} V K^{-1}$ at...
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A bacterial infection in an internal wound grows as $\mathrm{N}^{\prime}(\mathrm{t})=\mathrm{N}_0 \exp (\mathrm{t})$, where the time t is in hours. A dose of antibiotic, taken orally,...
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Q JEE-MAIN 2019
Two solids dissociate as follows
$\begin{aligned} & \mathrm{A}(\mathrm{s}) \rightleftharpoons \mathrm{B}(\mathrm{g})+\mathrm{C}(\mathrm{g}) ; \mathrm{K}_{\mathrm{P}_1}=\mathrm{x} \mathrm{atm}^2 \\ & \mathrm{D}(\mathrm{s}) \rightleftharpoons \mathrm{C}(\mathrm{g})+\mathrm{E}(\mathrm{g}) ; \mathrm{K}_{\mathrm{P}_2}=\mathrm{yatm}^2\end{aligned}$ The total pressure when both...
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Q JEE MAIN 2019
At $100^{\circ} \mathrm{C}$, copper $(\mathrm{Cu})$ has FCC unit cell structure with cell edge length of $\mathrm{x} \AA$. What is the approximate density of Cu (in...
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Q JEE MAIN 2019
The decreasing order of electrical conductivity of the following aqueous solutions is:
0.1 M Formic acid (A),
0.1 M Acetic acid (B),
0.1 M Benzoic...
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Q JEE MAIN_2019_
Amylopectin is composed of
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Consider the following table i \begin{tabular}{lll} Gas & $\mathrm{a} /\left(\mathrm{k} \mathrm{Pa} \mathrm{dm}^6 \mathrm{~mol}^{-1}\right)$ & $\mathrm{b} /\left(\mathrm{dm}^3 \mathrm{~mol}^{-1}\right)$ \\ A & 642.32 & 0.05196 \\ B...
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Q JEE MAIN 2019
The C–C bond length is maximum in :
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Consider the statements S1 and S2: S1: Conductivity always increases with decrease in the concentration of electrolyte. S2 : Molar conductivity always increases with decrease...
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Q JEE MAIN 2019
The osmotic pressure of a dilute solution of an ionic compound XY in water is four times that of a solution of 0.01 M $\mathrm{BaCl}_2$...
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The major product of the following reaction is :
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Q JEE MAIN 2019
The pair that has similar atomic radii is :
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A solution containing 62 g ethylene glycol in 250 g water is cooled to $-10^{\circ} \mathrm{C}$. If $\mathrm{K}_{\mathrm{f}}$ for water is $1.86 \mathrm{Kkg} \mathrm{mol}^{-1}$, the...
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The principle of column chromatography is:
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The INCORRECT statement is :
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The given plots represent the variation of the concentration of a reactant R with time for two different reactions (i) and (ii). The respective orders...
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Poly- $\beta$-hydroxybutyrate-co- $\beta$-hydroxyvalerate (PHBV) is a copolymer of $\_\_\_\_$ .
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Which of the following is a condensation polymer?
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The graph between $|\psi|^2$ and r(radial distance) is shown below. This represents i.
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Q JEE MAIN 2019
The increasing order of reactivity of the following compounds towards aromatic electrophilic substitution reaction is
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In the following reaction
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Q JEE MAIN_2019_
The oxoacid of sulphur that does not contain bond between sulphur atoms is :
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Q JEE MAIN 2019
The major product of the following reaction is
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Q JEE MAIN_2019_
Consider the following statements (a) The pH of a mixture containing 400 mL of 0.1 $\mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ and 400 mL of 0.1 M NaOH...
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Q JEE MAIN 2019
Among the following, the set of parameters that represents path functions, is
(A) q + w
(B) q
(C) w
(D)...
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Q JEE MAIN 2019
In which of the following processes, the bond order has increased and paramagnetic character has changed to diamagnetic?
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Q JEE MAIN 2019
The pH of rain water, is approximately
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The temporary hardness of water is due to
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When the first electron gain enthalpy $\left(\Delta_{\mathrm{eg}} \mathrm{H}\right)$ of oxygen is $-141 \mathrm{~kJ} / \mathrm{mol}$, its second electron gain enthalpy is
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Q JEE MAIN 2019
The major product of the following reaction
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Q JEE MAIN 2019
A solution containing 62 g ethylene glycol in 250 g water is cooled to $-10^{\circ} \mathrm{C}$. If $\mathrm{K}_{\mathrm{f}}$ for water is $1.86 \mathrm{Kkg} \mathrm{mol}^{-1}$, the...
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Q JEE MAIN 2019
When the first electron gain enthalpy $\left(\Delta_{e 0} \mathrm{H}\right)$ of oxygen is $-141 \mathrm{~kJ} / \mathrm{mol}$, its second electron gain enthalpy is
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