JEE Main 2022 (Online) 28th June Evening Shift

Paper was held on
Tue, Jun 28, 2022 9:30 AM

## Chemistry

Compound A contains 8.7% Hydrogen, 74% Carbon and 17.3% Nitrogen. The molecular formula of the compound is,
Given : Atom

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Consider the following statements :
(A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2

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In the structure of SF4, the lone pair of electrons on S is in.

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A student needs to prepare a buffer solution of propanoic acid and its sodium salt with pH 4. The ratio of $${{[C{H_3}C{

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Match List - I with List - II :
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Match List - I with List - II :
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In the metallurgical extraction of copper, following reaction is used :
FeO + SiO2 $$\to$$ FeSiO3
FeO and FeSiO3 respect

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Hydrogen has three isotopes : protium (1H), deuterium (2H or D) and tritium (3H or T). They have nearly same chemical pr

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Among the following, basic oxide is :

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Among the given oxides of nitrogen ; N2O, N2O3, N2O4 and N2O5, the number of compound/(s) having N - N bond is :

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Which of the following oxoacids of sulphur contains "S" in two different oxidation states?

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Correct statement about photo-chemical smog is :

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The correct IUPAC name of the following compound is :

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The major product (P) of the given reaction is
(where, Me is $$-$$CH3)

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In the above reaction 'A' is

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Isobutyraldehyde on reaction with formaldehyde and K2CO3 gives compound 'A'. Compound 'A' reacts with KCN and yields com

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With respect to the following reaction, consider the given statements :
(A) o-Nitroaniline and p-nitroaniline are the

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Given below are two statements, one is Assertion (A) and other is Reason (R).
Assertion (A) : Natural rubber is a linear

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When sugar 'X' is boiled with dilute H2SO4 in alcoholic solution, two isomers 'A' and 'B' are formed. 'A' on oxidation w

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The drug tegamet is :

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100 g of an ideal gas is kept in a cylinder of 416 L volume at 27$$^\circ$$C under 1.5 bar pressure. The molar mass of t

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For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, $$\Delta$$CH$$\Theta $$ = $$-$

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2.5 g of protein containing only glycine (C2H5NO2) is dissolved in water to make 500 mL of solution. The osmotic pressur

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For the given reactions
Sn2+ + 2e$$-$$ $$\to$$ Sn
Sn4+ + 4e$$-$$ $$\to$$ Sn
the electrode potentials are ; $$E_{S{n^{2 +

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A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ______

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$${[Fe{(CN)_6}]^{4 - }}$$
$${[Fe{(CN)_6}]^{3 - }}$$
$${[Ti{(CN)_6}]^{3 - }}$$
$${[Ni{(CN)_4}]^{2 - }}$$
$${[Co{(CN)_6}]^

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(a) CoCl3.4NH3, (b) CoCl3.5NH3, (c) CoCl3.6NH3 and&nbs

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The complete combustion of 0.492 g of an organic compound containing 'C', 'H' and 'O' gives 0.793 g of CO2 and 0.442 g o

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The major product of the following reaction contains ____________ bromine atom(s).

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0.01 M KMnO4 solution was added to 20.0 mL of 0.05 M Mohr's salt solution through a burette. The initial reading of 50 m

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## Mathematics

Let R1 = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b| $$\le$$ 13} and
R2 = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b|

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Let f(x) be a quadratic polynomial such that f($$-$$2) + f(3) = 0. If one of the roots of f(x) = 0 is $$-$$1, then the s

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The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C4 so that C2 receives at least

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The term independent of x in the expansion of $$(1 - {x^2} + 3{x^3}){\left( {{5 \over 2}{x^3} - {1 \over {5{x^2}}}} \rig

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If n arithmetic means are inserted between a and 100 such that the ratio of the first mean to the last mean is 1 : 7 and

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Let f, g : R $$\to$$ R be functions defined by
$$f(x) = \left\{ {\matrix{
{[x]} & , & {x

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Let f : R $$\to$$ R be a differentiable function such that $$f\left( {{\pi \over 4}} \right) = \sqrt 2 ,\,f\left( {{\pi

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Let f : R $$\to$$ R be a continuous function satisfying f(x) + f(x + k) = n, for all x $$\in$$ R where k > 0 and n is a

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The area of the bounded region enclosed by the curve $$y = 3 - \left| {x - {1 \over 2}} \right| - |x + 1|$$ and the x-ax

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Let x = x(y) be the solution of the differential equation $$2y\,{e^{x/{y^2}}}dx + \left( {{y^2} - 4x{e^{x/{y^2}}}} \righ

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Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 $$\tan x(\cos x - y)$$. If the curve passes thr

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Let a triangle be bounded by the lines L1 : 2x + 5y = 10; L2 : $$-$$4x + 3y = 12 and the line L3, which passes through t

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Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola $${{{x^2}

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Let $$\overrightarrow a = \alpha \widehat i + 2\widehat j - \widehat k$$ and $$\overrightarrow b = - 2\widehat i + \a

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If vertex of a parabola is (2, $$-$$1) and the equation of its directrix is 4x $$-$$ 3y = 21, then the length of its lat

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Let the plane ax + by + cz = d pass through (2, 3, $$-$$5) and is perpendicular to the planes 2x + y $$-$$ 5z = 10 and 3

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The probability that a randomly chosen one-one function from the set {a, b, c, d} to the set {1, 2, 3, 4, 5} satisfies f

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The value of $$\mathop {\lim }\limits_{n \to \infty } 6\tan \left\{ {\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {{1 \

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Let $$\overrightarrow a $$ be a vector which is perpendicular to the vector $$3\widehat i + {1 \over 2}\widehat j + 2\wi

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If cot$$\alpha$$ = 1 and sec$$\beta$$ = $$ - {5 \over 3}$$, where $$\pi

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Let the image of the point P(1, 2, 3) in the line $$L:{{x - 6} \over 3} = {{y - 1} \over 2} = {{z - 2} \over 3}$$ be Q.

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Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62, and their vari

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If one of the diameters of the circle $${x^2} + {y^2} - 2\sqrt 2 x - 6\sqrt 2 y + 14 = 0$$ is a chord of the circle $${(

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If $$\mathop {\lim }\limits_{x \to 1} {{\sin (3{x^2} - 4x + 1) - {x^2} + 1} \over {2{x^3} - 7{x^2} + ax + b}} = - 2$$,

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Let for n = 1, 2, ......, 50, Sn be the sum of the infinite geometric progression whose first term is n2 and whose commo

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If the system of linear equations $$2x - 3y = \gamma + 5$$, $$\alpha x + 5y = \beta + 1$$, where $$\alpha$$, $$\beta$$

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Let $$A = \left( {\matrix{
{1 + i} & 1 \cr
{ - i} & 0 \cr
} } \right)$$ where $$i = \sqrt { - 1} $$. Then, t

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Sum of squares of modulus of all the complex numbers z satisfying $$\overline z = i{z^2} + {z^2} - z$$ is equal to ____

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Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S $$\times$$ S $$\to$$ S : f is onto and f (a, b) = f

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The maximum number of compound propositions, out of p$$\vee$$r$$\vee$$s, p$$\vee$$r$$\vee$$$$\sim$$s, p$$\vee$$$$\sim$$q

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## Physics

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $${v_2} = {n \over {{m^2}}}{v_1}$$ and

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A ball is spun with angular acceleration $$\alpha$$ = 6t2 $$-$$ 2t where t is in second and $$\alpha$$ is in rads$$-$$2.

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A block of mass 2 kg moving on a horizontal surface with speed of 4 ms$$-$$1 enters a rough surface ranging from x = 0.5

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A $$\sqrt {34} $$ m long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from th

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Water falls from a 40 m high dam at the rate of 9 $$\times$$ 104 kg per hour. Fifty percentage of gravitational potentia

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Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-thi

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A water drop of radius 1 $$\mu$$m falls in a situation where the effect of buoyant force is negligible. Co-efficient of

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A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during th

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What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen mo

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Two point charges A and B of magnitude +8 $$\times$$ 10$$-$$6 C and $$-$$8 $$\times$$ 10$$-$$6 C respectively are placed

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Resistance of the wire is measured as 2 $$\Omega$$ and 3 $$\Omega$$ at 10$$^\circ$$C and 30$$^\circ$$C respectively. Tem

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The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility

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Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of x A in the same direction. If the for

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A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius o

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An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum mag

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In Young's double slit experiment performed using a monochromatic light of wavelength $$\lambda$$, when a glass plate ($

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Let K1 and K2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength $$\l

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Following statements related to radioactivity are given below :
(A) Radioactivity is a random and spontaneous process an

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In the given circuit the input voltage Vin is shown in figure. The cut-in voltage of p-n junction diode (D1 or D2) is 0.

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Amplitude modulated wave is represented by $${V_{AM}} = 10\,[1 + 0.4\cos (2\pi \times {10^4}t)\cos (2\pi \times {10^7}

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A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm a

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A zener of breakdown voltage Vz = 8 V and maximum zener current, IZM = 10 mA is subjectd to an input voltage Vi = 10 V w

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In a Young's double slit experiment, an angular width of the fringe is 0.35$$^\circ$$ on a screen placed at 2 m away for

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In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil

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All resistances in figure are 1 $$\Omega$$ each. The value of current 'I' is $${a \over 5}$$ A. The value of a is ______

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A capacitor C1 of capacitance 5 $$\mu$$F is charged to a potential of 30 V using a battery. The battery is then removed

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A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrica

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A liquid of density 750 kgm$$-$$3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 =

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A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal axle as shown in figure. A block

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A car covers AB distance with first one-third at velocity v1 ms$$-$$1, second one-third at v2 ms$$-$$1 and last one-thir

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