JEE Main 2022 (Online) 29th June Morning Shift

Paper was held on
Wed, Jun 29, 2022 3:30 AM

## Chemistry

Production of iron in blast furnace follows the following equation
Fe3O4(s) + 4CO(g) $$\to$$ 3Fe(l) + 4CO2(g)
when 4.640

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Which of the following statements are correct?
(A) The electronic configuration of Cr is [Ar] 3d5 4s1.
(B) The magnetic

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Arrange the following in the decreasing order of their covalent character :
(A) LiCl
(B) NaCl
(C) KCl
(D) CsCl
Choose th

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The solubility of AgCl will be maximum in which of the following?

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Which of the following is a correct statement?

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The electronic configuration of Pt (atomic number 78) is :

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In isolation of which one of the following metals from their ores, the use of cyanide salt is not commonly involved?

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Which one of the following reactions indicates the reducing ability of hydrogen peroxide in basic medium?

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Match List-I with List-II
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Match List-I with List-II.
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The oxoacid of phosphorus that is easily obtained from a reaction of alkali and white phosphorus and has two P-H bonds,

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The acid that is believed to be mainly responsible for the damage of Taj Mahal is :

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Two isomers 'A' and 'B' with molecular formula C4H8 give different products on oxidation with KMnO4 in acidic medium. Is

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In the given conversion the compound A is :

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Given below are two statements :
Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic a

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Consider the above reactions, the product A and product B respectively are

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The polymer, which can be stretched and remains its original status on releasing the force is

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Sugar moiety in DNA and RNA molecules respectively are

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Which of the following compound does not contain sulphur atom?

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Given below are two statements :
Statement I : Phenols are weakly acidic.
Statement II : Therefore they are freely solub

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Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL$$-$$1 at 257$$^\

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17.0 g of NH3 completely vapourises at $$-$$33.42$$^\circ$$C and 1 bar pressure and the enthalpy change in the process i

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1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for thi

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A dilute solution of sulphuric acid is electrolysed using a current of 0.10 A for 2 hours to produce hydrogen and oxygen

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The activation energy of one of the reactions in a biochemical process is 532611 J mol$$-$$1. When the temperature falls

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The number of terminal oxygen atoms present in the product B obtained from the following reaction is _____________.
FeCr

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An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the produc

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Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from 0.55 g of the

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Observe structures of the following compounds
The total number of structures/compounds which possess asymmetric carbon

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C6H12O6 $$\buildrel \text{Zymase} \over
\longrightarrow $$ A $$\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_\Delta

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## Mathematics

The probability that a randomly chosen 2 $$\times$$ 2 matrix with all the entries from the set of first 10 primes, is si

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Let the solution curve of the differential equation
$$x{{dy} \over {dx}} - y = \sqrt {{y^2} + 16{x^2}} $$, $$y(1) = 3$$

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If the mirror image of the point (2, 4, 7) in the plane 3x $$-$$ y + 4z = 2 is (a, b, c), then 2a + b + 2c is equal to :

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Let $$f:R \to R$$ be a function defined by :
$$f(x) = \left\{ {\matrix{
{\max \,\{ {t^3} - 3t\} \,t \le x} & ; & {x \

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Let $$\overrightarrow a = \alpha \widehat i + 3\widehat j - \widehat k$$, $$\overrightarrow b = 3\widehat i - \beta \w

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The area enclosed by y2 = 8x and y = $$\sqrt2$$ x that lies outside the triangle formed by y = $$\sqrt2$$ x, x = 1, y =

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If the system of linear equations
2x + y $$-$$ z = 7
x $$-$$ 3y + 2z = 1
x + 4y + $$\delta$$z = k, where $$\delta$$, k $

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Let $$\alpha$$ and $$\beta$$ be the roots of the equation x2 + (2i $$-$$ 1) = 0. Then, the value of |$$\alpha$$8 + $$\be

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Let $$\Delta$$ $$\in$$ {$$\wedge$$, $$\vee$$, $$\Rightarrow$$, $$\Leftrightarrow$$} be such that (p $$\wedge$$ q) $$\Del

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Let $$A = [{a_{ij}}]$$ be a square matrix of order 3 such that $${a_{ij}} = {2^{j - i}}$$, for all i, j = 1, 2, 3. Then,

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Let a set A = A1 $$\cup$$ A2 $$\cup$$ ..... $$\cup$$ Ak, where Ai $$\cap$$ Aj = $$\phi$$ for i $$\ne$$ j, 1 $$\le$$ j, j

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Let $$\{ {a_n}\} _{n = 0}^\infty $$ be a sequence such that $${a_0} = {a_1} = 0$$ and $${a_{n + 2}} = 2{a_{n + 1}} - {a_

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The distance between the two points A and A' which lie on y = 2 such that both the line segments AB and A' B (where B is

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A wire of length 22 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into an

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The domain of the function $${\cos ^{ - 1}}\left( {{{2{{\sin }^{ - 1}}\left( {{1 \over {4{x^2} - 1}}} \right)} \over \pi

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If the constant term in the expansion of
$${\left( {3{x^3} - 2{x^2} + {5 \over {{x^5}}}} \right)^{10}}$$ is 2k.l, where

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$$\int_0^5 {\cos \left( {\pi \left( {x - \left[ {{x \over 2}} \right]} \right)} \right)dx} $$,
where [t] denotes greates

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Let PQ be a focal chord of the parabola y2 = 4x such that it subtends an angle of $${\pi \over 2}$$ at the point (3, 0)

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Let the tangent to the circle C1 : x2 + y2 = 2 at the point M($$-$$1, 1) intersect the circle C2 : (x $$-$$ 3)2 + (y $$-

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Let the mean and the variance of 5 observations x1, x2, x3, x4, x5 be $${24 \over 5}$$ and $${194 \over 25}$$ respective

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Let $$S = \{ z \in C:|z - 2| \le 1,\,z(1 + i) + \overline z (1 - i) \le 2\} $$. Let $$|z - 4i|$$ attains minimum and max

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Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} + {{\sqrt 2 y} \over {2{{\cos }^4}x - {{\c

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Let d be the distance between the foot of perpendiculars of the points P(1, 2, $$-$$1) and Q(2, $$-$$1, 3) on the plane

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The number of elements in the set $$S = \{ \theta \in [ - 4\pi ,4\pi ]:3{\cos ^2}2\theta + 6\cos 2\theta - 10{\cos ^2

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The number of solutions of the equation $$2\theta - {\cos ^2}\theta + \sqrt 2 = 0$$ in R is equal to ___________.

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$$50\tan \left( {3{{\tan }^{ - 1}}\left( {{1 \over 2}} \right) + 2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)}

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Let c, k $$\in$$ R. If $$f(x) = (c + 1){x^2} + (1 - {c^2})x + 2k$$ and $$f(x + y) = f(x) + f(y) - xy$$, for all x, y $$\

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Let $$H:{{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$, a > 0, b > 0, be a hyperbola such that the sum of lengt

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Let $${P_1}:\overrightarrow r \,.\,\left( {2\widehat i + \widehat j - 3\widehat k} \right) = 4$$ be a plane. Let P2 be a

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Let b1b2b3b4 be a 4-element permutation with bi $$\in$$ {1, 2, 3, ........, 100} for 1 $$\le$$ i $$\le$$ 4 and bi $$\ne$

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## Physics

Two balls A and B are placed at the top of 180 m tall tower. Ball A is released from the top at t = 0 s. Ball B is throw

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A body of mass M at rest explodes into three pieces, in the ratio of masses 1 : 1 : 2. Two smaller pieces fly off perpen

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The activity of a radioactive material is 2.56 $$\times$$ 10$$-$$3 Ci. If the half life of the material is 5 days, after

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A spherical shell of 1 kg mass and radius R is rolling with angular speed $$\omega$$ on horizontal plane (as shown in fi

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A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat

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A wire of length L is hanging from a fixed support. The length changes to L1 and L2 when masses 1 kg and 2 kg are suspen

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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 : Th

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A particle of mass 500 gm is moving in a straight line with velocity v = b x5/2. The work done by the net force during i

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A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge

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For a series LCR circuit, I vs $$\omega$$ curve is shown :
(a) To the left of $$\omega$$r, the circuit is mainly capacit

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A block of metal weighing 2 kg is resting on a frictionless plane (as shown in figure). It is struck by a jet releasing

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In van der Waal equation $$\left[ {P + {a \over {{V^2}}}} \right]$$ [V $$-$$ b] = RT; P is pressure, V is volume, R is u

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Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. If magnitude of $$\overrightarrow A

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The escape velocity of a body on a planet 'A' is 12 kms$$-$$1. The escape velocity of the body on another planet 'B', wh

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At a certain place the angle of dip is 30$$^\circ$$ and the horizontal component of earth's magnetic field is 0.5 G. The

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A longitudinal wave is represented by $$x = 10\sin 2\pi \left( {nt - {x \over \lambda }} \right)$$ cm. The maximum parti

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A parallel plate capacitor filled with a medium of dielectric constant 10, is connected across a battery and is charged.

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A positive charge particle of 100 mg is thrown in opposite direction to a uniform electric field of strength 1 $$\times$

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Using Young's double slit experiment, a monochromatic light of wavelength 5000 $$\mathop A\limits^o $$ produces fringes

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Only 2% of the optical source frequency is the available channel bandwidth for an optical communicating system operating

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Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately

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The intensity of the light from a bulb incident on a surface is 0.22 W/m2. The amplitude of the magnetic field in this l

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As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound pla

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A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it

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The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31

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300 cal. of heat is given to a heat engine and it rejects 225 cal. If source temperature is 227$$^\circ$$C, then the tem

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$$\sqrt {{d_1}} $$ and $$\sqrt {{d_2}} $$ are the impact parameters corresponding to scattering angles 60$$^\circ$$ and

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A transistor is used in an amplifier circuit in common emitter mode. If the base current changes by 100 $$\mu$$A, it bri

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A parallel beam of light is allowed to fall on a transparent spherical globe of diameter 30 cm and refractive index 1.5.

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For the network shown below, the value of VB $$-$$ VA is ____________ V.

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