JEE Main 2022 (Online) 25th June Evening Shift

Paper was held on
Sat, Jun 25, 2022 9:30 AM

## Chemistry

The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is

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At 25$$^\circ$$C and 1 atm pressure, the enthalpy of combustion of benzene (I) and acetylene (g) are $$-$$ 3268 kJ mol$$

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Solute A associates in water. When 0.7 g of solute A is dissolved in 42.0 g of water, it depresses the freezing point by

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The Ksp for bismuth sulphide (Bi2S3) is 1.08 $$\times$$ 10$$-$$73. The solubility of Bi2S3 in mol L$$-$$1 at 298 K is

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Match List I with List II
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The correct order of electron gain enthalpies of Cl, F, Te and Po is

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Given below are two statements.
Statement I : During electrolytic refining, blister copper deposits precious metals.
Sta

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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 : The

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The correct order of reduction potentials of the following pairs is
A. Cl2/Cl$$-$$
B. I2/I$$-$$
C. Ag+/Ag
D. Na+/Na
E. L

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The number of bridged oxygen atoms present in compound B formed from the following reactions is
Pb(NO3)2 $$\buildrel {67

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The metal ion (in gaseous state) with lowest spin-only magnetic moment value 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 A : Pol

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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 : A m

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During halogen test, sodium fusion extract is boiled with concentrated HNO3 to

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Amongst the following, the major product of the given chemical reaction is

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In the given reaction
'A' can be

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Which of the following conditions or reaction sequence will NOT give acetophenone as the major product?

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The major product formed in the following reaction, is

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Which of the following ketone will NOT give enamine on treatment with secondary amines? [where t-Bu is $$-$$C(CH3)3]

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An antiseptic dettol is a mixture of two compounds 'A' and 'B' where A has 6$$\pi$$ electrons and B has 2$$\pi$$ electro

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A protein 'A' contains 0.30% of glycine (molecular weight 75). The minimum molar mass of the protein 'A' is __________ $

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A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27$$^\circ

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Amongst BeF2, BF3, H2O, NH3, CCl4 and HCl, the number of molecules with non-zero net dipole moment is ____________.

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At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When th

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A solution of Fe2(SO4)3 is electrolyzed for 'x' min with a current of 1.5 A to deposit 0.3482 g of Fe. The value of x is

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Consider the following reactions:
PCl3 + H2O $$\to$$ A + HCl
A + H2O $$\to$$ B + HCl
The number of ionisable protons pre

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Amongst FeCl3.3H2O, K3[Fe(CN)6] and [Co(NH3)6]Cl3, the spin-only magnetic moment value of the inner-orbital complex that

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The Novolac polymer has mass of 963 g. The number of monomer units present in it are

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How many of the given compounds will give a positive Biuret test ____________ ?
Glycine, Glycylalanine, Tripeptide, Biur

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The neutralization occurs when 10 mL of 0.1M acid 'A' is allowed to react with 30 mL of 0.05 M base M(OH)2. The basicity

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## Mathematics

Let $$A = \{ x \in R:|x + 1|

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Let a, b $$\in$$ R be such that the equation $$a{x^2} - 2bx + 15 = 0$$ has a repeated root $$\alpha$$. If $$\alpha$$ and

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Let z1 and z2 be two complex numbers such that $${\overline z _1} = i{\overline z _2}$$ and $$\arg \left( {{{{z_1}} \ove

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The system of equations
$$ - kx + 3y - 14z = 25$$
$$ - 15x + 4y - kz = 3$$
$$ - 4x + y + 3z = 4$$
is consistent for all

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$$\mathop {\lim }\limits_{x \to {\pi \over 2}} \left( {{{\tan }^2}x\left( {{{(2{{\sin }^2}x + 3\sin x + 4)}^{{1 \over 2

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The area of the region enclosed between the parabolas y2 = 2x $$-$$ 1 and y2 = 4x $$-$$ 3 is

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The coefficient of x101 in the expression $${(5 + x)^{500}} + x{(5 + x)^{499}} + {x^2}{(5 + x)^{498}} + \,\,.....\,\, +

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The sum 1 + 2 . 3 + 3 . 32 + ......... + 10 . 39 is equal to :

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Let p be the plane passing through the intersection of the planes $$\overrightarrow r \,.\,\left( {\widehat i + 3\wideha

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A circle touches both the y-axis and the line x + y = 0. Then the locus of its center is :

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Water is being filled at the rate of 1 cm3 / sec in a right circular conical vessel (vertex downwards) of height 35 cm a

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If $${b_n} = \int_0^{{\pi \over 2}} {{{{{\cos }^2}nx} \over {\sin x}}dx,\,n \in N} $$, then

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If $$y = y(x)$$ is the solution of the differential equation $$2{x^2}{{dy} \over {dx}} - 2xy + 3{y^2} = 0$$ such that $$

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If the angle made by the tangent at the point (x0, y0) on the curve $$x = 12(t + \sin t\cos t)$$, $$y = 12{(1 + \sin t)^

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The value of 2sin (12$$^\circ$$) $$-$$ sin (72$$^\circ$$) is :

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A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark n i

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The negation of the Boolean expression (($$\sim$$ q) $$\wedge$$ p) $$\Rightarrow$$ (($$\sim$$ p) $$\vee$$ q) is logicall

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If the line $$y = 4 + kx,\,k > 0$$, is the tangent to the parabola $$y = x - {x^2}$$ at the point P and V is the vertex

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The value of $${\tan ^{ - 1}}\left( {{{\cos \left( {{{15\pi } \over 4}} \right) - 1} \over {\sin \left( {{\pi \over 4}}

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The line y = x + 1 meets the ellipse $${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$ at two points P and Q. If r is the ra

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Let $$A = \left( {\matrix{
2 & { - 2} \cr
1 & { - 1} \cr
} } \right)$$ and $$B = \left( {\matrix{
{ - 1}

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Let $$f(x) = \left[ {2{x^2} + 1} \right]$$ and $$g(x) = \left\{ {\matrix{
{2x - 3,} & {x

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The value of b > 3 for which $$12\int\limits_3^b {{1 \over {({x^2} - 1)({x^2} - 4)}}dx = {{\log }_e}\left( {{{49} \over

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If the sum of the co-efficient of all the positive even powers of x in the binomial expansion of $${\left( {2{x^3} + {3

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If the mean deviation about the mean of the numbers 1, 2, 3, .........., n, where n is odd, is $${{5(n + 1)} \over n}$$,

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Let $$\overrightarrow b = \widehat i + \widehat j + \lambda \widehat k$$, $$\lambda$$ $$\in$$ R. If $$\overrightarrow a

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The total number of three-digit numbers, with one digit repeated exactly two times, is ______________.

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Let $$f(x) = |(x - 1)({x^2} - 2x - 3)| + x - 3,\,x \in R$$. If m and M are respectively the number of points of local mi

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Let the eccentricity of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ be $${5 \over 4}$$. If t

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Let l1 be the line in xy-plane with x and y intercepts $${1 \over 8}$$ and $${1 \over {4\sqrt 2 }}$$ respectively, and l

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## Physics

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : Two

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Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by

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A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing t

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A solid metallic cube having total surface area 24 m2 is uniformly heated. If its temperature is increased by 10$$^\circ

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A copper block of mass 5.0 kg is heated to a temperature of 500$$^\circ$$C and is placed on a large ice block. What is t

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The ratio of specific heats $$\left( {{{{C_P}} \over {{C_V}}}} \right)$$ in terms of degree of freedom (f) is given by :

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For a particle in uniform circular motion, the acceleration $$\overrightarrow a $$ at any point P(R, $$\theta$$) on the

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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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Two cells of same emf but different internal resistances r1 and r2 are connected in series with a resistance R. The valu

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Given below are two statements :
Statement I : Susceptibilities of paramagnetic and ferromagnetic substances increase wi

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A long solenoid carrying a current produces a magnetic field B along its axis. If the current is doubled and the number

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A sinusoidal voltage V(t) = 210 sin 3000 t volt is applied to a series LCR circuit in which L = 10 mH, C = 25 $$\mu$$F a

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The electromagnetic waves travel in a medium at a speed of 2.0 $$\times$$ 108 m/s. The relative permeability of the medi

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The interference pattern is obtained with two coherent light sources of intensity ratio 4 : 1. And the ratio $${{{I_{\ma

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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 proton, a neutron, an electron and an $$\alpha$$ particle have same energy. If $$\lambda$$p, $$\lambda$$n, $$\lambda$$

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Which of the following figure represents the variation of $${l_n}\left( {{R \over {{R_0}}}} \right)$$ with $${l_n}A$$ (i

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Identify the logic operation performed by the given circuit:

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Match List I with List II
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If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. The

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For $$z = {a^2}{x^3}{y^{{1 \over 2}}}$$, where 'a' is a constant. If percentage error in measurement of 'x' and 'y' are

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A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without sk

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A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = $$\sqrt{x

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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 solid sphere a

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Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R1 = 3200 km and R2 = 800 km respe

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When a gas filled in a closed vessel is heated by raising the temperature by 1$$^\circ$$C, its pressure increases by 0.4

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27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be

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The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the res

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In a series LCR circuit, the inductance, capacitance and resistance are L = 100 mH, C = 100 $$\mu$$F and R = 10 $$\Omega

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In an experiment of CE configuration of n-p-n transistor, the transfer characteristics are observed as given in figure.

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