JEE Main 2022 (Online) 27th June Morning Shift

Paper was held on
Mon, Jun 27, 2022 3:30 AM

## Chemistry

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

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Based upon VSEPR theory, match the shape (geometry) of the molecules in List-I with the molecules in List-II and select

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Match List-I with List-II.
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Match List-I with List-II
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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)

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Match List-I with List-II
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Addition of H2SO4 to BaO2 produces :

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BeCl2 reacts with LiAlH4 to give:

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Match List - I with List - II.
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Heating white phosphorus with conc. NaOH solution gives mainly:

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Which of the following will have maximum stabilization due to crystal field?

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Given below are two Statements:
Statement I : Classical smog occurs in cool humid climate. It is a reducing mixture of s

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Which of the following is structure of a separating funnel?

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'A' and 'B' respectively are:

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The major product of the following reaction is :

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Which of the following reactions will yield benzaldehyde as a product?

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Given below are two statements :
Statement I : In Hofmann degradation reaction, the migration of only an alkyl group tak

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Match List - I with List - II
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L-isomer of a compound 'A' (C4H8O4) gives a positive test with [Ag(NH3)2]+. Treatment of 'A' with acetic anhydride yield

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Match List - I with List - II.
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Metal deficiency defect is shown by Fe0.93O. In the crystal, some Fe2+ cations are missing and loss of positive charge i

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If the uncertainty in velocity and position of a minute particle in space are, 2.4 $$\times$$ 10$$-$$26 (m s$$-$$1) and

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2 g of a non-volatile non-electrolyte solute is dissolved in
200 g of two different solvents A and B whose ebullioscop

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2NOCl(g) $$\rightleftharpoons$$ 2NO(g) + Cl2(g)
In an experiment, 2.0 moles of NOCl was placed in a one-litre flask and

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The limiting molar conductivities of NaI, NaNO3 and AgNO3 are 12.7, 12.0 and 13.3 mS m2 mol$$-$$1, respectively (all at

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The rate constant for a first order reaction is given by the following equation:
$$\ln k = 33.24 - {{2.0 \times {{10}^4}

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The number of statements correct from the following for Copper (at. no. 29) is/are ____________.
(A) Cu(II) complexes ar

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Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product f

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Two elements A and B which form 0.15 moles of A2B and AB3 type compounds. If both A2B and AB3 weigh equally, then the at

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Total number of possible stereoisomers of dimethyl cyclopentane is ____________.

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## Mathematics

The area of the polygon, whose vertices are the non-real roots of the equation $$\overline z = i{z^2}$$ is :

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Let the system of linear equations $$x + 2y + z = 2$$, $$\alpha x + 3y - z = \alpha $$, $$ - \alpha x + y + 2z = - \alp

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$$x = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}}

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Let $${{dy} \over {dx}} = {{ax - by + a} \over {bx + cy + a}}$$, where a, b, c are constants, represent a circle passing

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Let a be an integer such that $$\mathop {\lim }\limits_{x \to 7} {{18 - [1 - x]} \over {[x - 3a]}}$$ exists, where [t] i

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The number of distinct real roots of x4 $$-$$ 4x + 1 = 0 is :

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The lengths of the sides of a triangle are 10 + x2, 10 + x2 and 20 $$-$$ 2x2. If for x = k, the area of the triangle is

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If $${\cos ^{ - 1}}\left( {{y \over 2}} \right) = {\log _e}{\left( {{x \over 5}} \right)^5},\,|y|

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If $$\int {{{({x^2} + 1){e^x}} \over {{{(x + 1)}^2}}}dx = f(x){e^x} + C} $$, where C is a constant, then $${{{d^3}f} \ov

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The value of the integral $$\int\limits_{ - 2}^2 {{{|{x^3} + x|} \over {({e^{x|x|}} + 1)}}dx} $$ is equal to :

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If $${{dy} \over {dx}} + {{{2^{x - y}}({2^y} - 1)} \over {{2^x} - 1}} = 0$$, x, y > 0, y(1) = 1, then y(2) is equal to :

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In an isosceles triangle ABC, the vertex A is (6, 1) and the equation of the base BC is 2x + y = 4. Let the point B lie

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Let the eccentricity of an ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$, $$a > b$$, be $${1 \over 4

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If two straight lines whose direction cosines are given by the relations $$l + m - n = 0$$, $$3{l^2} + {m^2} + cnl = 0$$

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Let $$\overrightarrow a = \widehat i + \widehat j - \widehat k$$ and $$\overrightarrow c = 2\widehat i - 3\widehat j +

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Five numbers $${x_1},{x_2},{x_3},{x_4},{x_5}$$ are randomly selected from the numbers 1, 2, 3, ......., 18 and are arran

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Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(x = 4), then the sum of the mean and t

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The value of $$\cos \left( {{{2\pi } \over 7}} \right) + \cos \left( {{{4\pi } \over 7}} \right) + \cos \left( {{{6\pi }

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$${\sin ^1}\left( {\sin {{2\pi } \over 3}} \right) + {\cos ^{ - 1}}\left( {\cos {{7\pi } \over 6}} \right) + {\tan ^{ -

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The boolean expression $$( \sim (p \wedge q)) \vee q$$ is equivalent to :

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Let f : R $$\to$$ R be a function defined by $$f(x) = {{2{e^{2x}}} \over {{e^{2x}} + e}}$$. Then $$f\left( {{1 \over {10

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If the sum of all the roots of the equation $${e^{2x}} - 11{e^x} - 45{e^{ - x}} + {{81} \over 2} = 0$$ is $${\log _e}p$$

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The positive value of the determinant of the matrix A, whose
Adj(Adj(A)) = $$\left( {\matrix{
{14} & {28} & { - 14}

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The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between an

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If the coefficient of x10 in the binomial expansion of $${\left( {{{\sqrt x } \over {{5^{{1 \over 4}}}}} + {{\sqrt 5 } \

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Let
$${A_1} = \left\{ {(x,y):|x| \le {y^2},|x| + 2y \le 8} \right\}$$ and
$${A_2} = \left\{ {(x,y):|x| + |y| \le k} \rig

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If the sum of the first ten terms of the series
$${1 \over 5} + {2 \over {65}} + {3 \over {325}} + {4 \over {1025}} + {5

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A rectangle R with end points of one of its sides as (1, 2) and (3, 6) is inscribed in a circle. If the equation of a di

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A circle of radius 2 unit passes through the vertex and the focus of the parabola y2 = 2x and touches the parabola $$y =

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Let the mirror image of the point (a, b, c) with respect to the plane 3x $$-$$ 4y + 12z + 19 = 0 be (a $$-$$ 6, $$\beta$

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## Physics

A projectile is launched at an angle '$$\alpha$$' with the horizontal with a velocity 20 ms$$-$$1. After 10 s, its incli

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A girl standing on road holds her umbrella at 45$$^\circ$$ with the vertical to keep the rain away. If she starts runnin

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A silver wire has a mass (0.6 $$\pm$$ 0.006) g, radius (0.5 $$\pm$$ 0.005) mm and length (4 $$\pm$$ 0.04) cm. The maximu

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A system of two blocks of masses m = 2 kg and M = 8 kg is placed on a smooth table as shown in figure. The coefficient o

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Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0) cm and (x, 0) cm respe

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A 72 $$\Omega$$ galvanometer is shunted by a resistance of 8 $$\Omega$$. The percentage of the total current which passe

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Given below are two statements :
Statement I : The law of gravitation holds good for any pair of bodies in the universe.

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What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stati

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The velocity of a small ball of mass 'm' and density d1, when dropped in a container filled with glycerin, becomes const

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The susceptibility of a paramagnetic material is 99. The permeability of the material in Wb/A-m, is :
[Permeability of f

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The current flowing through an ac circuit is given by
I = 5 sin(120$$\pi$$t)A
How long will the current take to reach th

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Match List-I with List-II :
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An $$\alpha$$ particle and a carbon 12 atom has same kinetic energy K. The ratio of their de-Broglie wavelengths $$({\la

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A force of 10 N acts on a charged particle placed between two plates of a charged capacitor. If one plate of capacitor i

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The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its a

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An observer moves towards a stationary source of sound with a velocity equal to one-fifth of the velocity of sound. The

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Consider a light ray travelling in air is incident into a medium of refractive index $$\sqrt{2n}$$. The incident angle i

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A hydrogen atom in its ground state absorbs 10.2 eV of energy. The angular momentum of electron of the hydrogen atom wil

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Identify the correct Logic Gate for the following output (Y) of two inputs A and B.

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A mixture of hydrogen and oxygen has volume 2000 cm3, temperature 300 K, pressure 100 kPa and mass 0.76 g. The ratio of

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In a carnot engine, the temperature of reservoir is 527$$^\circ$$C and that of sink is 200 K. If the work done by the en

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A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure)

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In Young's double slit experiment the two slits are 0.6 mm distance apart. Interference pattern is observed on a screen

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A beam of monochromatic light is used to excite the electron in Li+ + from the first orbit to the third orbit. The wavel

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A cell, shunted by a 8 $$\Omega$$ resistance, is balanced across a potentiometer wire of length 3 m. The balancing lengt

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The current density in a cylindrical wire of radius 4 mm is 4 $$\times$$ 106 Am$$-$$2. The current through the outer por

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A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacit

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The height of a transmitting antenna at the top of a tower is 25 m and that of receiving antenna is, 49 m. The maximum d

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The area of cross-section of a large tank is 0.5 m2. It has a narrow opening near the bottom having area of cross-sectio

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A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bo

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