JEE Main 2022 (Online) 24th June Morning Shift

Paper was held on
Fri, Jun 24, 2022 3:30 AM

## Chemistry

If a rocket runs on a fuel (C15H30) and liquid oxygen, the weight of oxygen required and CO2 released for every litre of

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Consider the following pairs of electrons
(A) (a) n = 3, $$l$$ = 1, m1 = 1, ms = + $${1 \over 2}$$
&nb

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Match List - I with List - II :
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For a reaction at equilibrium
A(g) $$\rightleftharpoons$$ B(g) + $${1 \over 2}$$ C(g)
the relation between dissociation

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Given below are two statements :
Statement I : Emulsions of oil in water are unstable and sometimes they separate into t

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Given below are the oxides:
Na2O, As2O3, N2O, NO and Cl2O7
Number of amphoteric oxides is :

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Match List - I with List - II :
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.tg td{border-color:black;border-styl

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The highest industrial consumption of molecular hydrogen is to produce compounds of element :

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Which of the following statements are correct?
(A) Both LiCl and MgCl2 are soluble in ethanol.
(B) The oxides Li2O and M

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Identify the correct statement for B2H6 from those given below :
(A) In B2H6, all B-H bonds are equivalent.
(B) In B2H6,

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The most stable trihalide of nitrogen is :

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Which one of the following elemental forms is not present in the enamel of the teeth?

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In the given reaction sequence, the major product 'C' is :

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Two statements are given below :
Statement I : The melting point of monocarboxylic acid with even number of carbon atoms

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Which of the following is an example of conjugated diketone?

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The major product of the above reactions is :

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Which of the following is an example of polyester?

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A polysaccharide 'X' on boiling with dil H2SO4 at 393 K under 2-3 atm pressure yields 'Y'. 'Y' on treatment with bromine

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Which of the following is not a broad spectrum antibiotic?

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During the qualitative analysis of salt with cation y2+, addition of a reagent (X) to alkaline solution of the salt give

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Atoms of element X form hcp lattice and those of element Y occupy $${2 \over 3}$$ of its tetrahedral voids. The percenta

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2O3(g) $$\rightleftharpoons$$ 3O2(g)
At 300 K, ozone is fifty percent dissociated. The standard free energy change at th

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The osmotic pressure of blood is 7.47 bar at 300 K. To inject glucose to a patient intravenously, it has to be isotonic

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The cell potential for the following cell
Pt |H2(g)|H+ (aq)|| Cu2+ (0.01 M)|Cu(s)
is 0.576 V at 298 K. The pH of the sol

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The rate constants for decomposition of acetaldehyde have been measured over the temperature range 700 - 1000 K. The dat

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The difference in oxidation state of chromium in chromate and dichromate salts is ___________.

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In the cobalt-carbonyl complex : [Co2(CO)8], number of Co-Co bonds is "X" and terminal CO ligands is "Y". X + Y = ______

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A 0.166 g sample of an organic compound was digested with conc. H2SO4 and then distilled with NaOH. The ammonia gas evol

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Number of electrophilic centres in the given compound is _______________.

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The major product 'A' of the following given reaction has _____________ sp2 hybridized carbon atoms.

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## Mathematics

Let $$A = \{ z \in C:1 \le |z - (1 + i)| \le 2\} $$
and $$B = \{ z \in A:|z - (1 - i)| = 1\} $$. Then, B :

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The remainder when 32022 is divided by 5 is :

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The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius

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Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen a

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Let x2 + y2 + Ax + By + C = 0 be a circle passing through (0, 6) and touching the parabola y = x2 at (2, 4). Then A + C

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The number of values of $$\alpha$$ for which the system of equations :
x + y + z = $$\alpha$$
$$\alpha$$x + 2$$\alpha$$y

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If the sum of the squares of the reciprocals of the roots $$\alpha$$ and $$\beta$$ of the equation 3x2 + $$\lambda$$x $$

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The set of all values of k for which $${({\tan ^{ - 1}}x)^3} + {({\cot ^{ - 1}}x)^3} = k{\pi ^3},\,x \in R$$, is the int

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Let S = {$$\sqrt{n}$$ : 1 $$\le$$ n $$\le$$ 50 and n is odd}.
Let a $$\in$$ S and $$A = \left[ {\matrix{
1 & 0 & a \

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For the function $$f(x) = 4{\log _e}(x - 1) - 2{x^2} + 4x + 5,\,x > 1$$, which one of the following is NOT correct?

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If the tangent at the point (x1, y1) on the curve $$y = {x^3} + 3{x^2} + 5$$ passes through the origin, then (x1, y1) do

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The sum of absolute maximum and absolute minimum values of the function $$f(x) = |2{x^2} + 3x - 2| + \sin x\cos x$$ in t

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If $$\{ {a_i}\} _{i = 1}^n$$, where n is an even integer, is an arithmetic progression with common difference 1, and $$\

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If x = x(y) is the solution of the differential equation $$y{{dx} \over {dy}} = 2x + {y^3}(y + 1){e^y},\,x(1) = 0$$; the

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Let $$\lambda x - 2y = \mu $$ be a tangent to the hyperbola $${a^2}{x^2} - {y^2} = {b^2}$$. Then $${\left( {{\lambda \o

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Let $$\widehat a$$, $$\widehat b$$ be unit vectors. If $$\overrightarrow c $$ be a vector such that the angle between $$

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If a random variable X follows the Binomial distribution B(33, p) such that $$3P(X = 0) = P(X = 1)$$, then the value of

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The domain of the function $$f(x) = {{{{\cos }^{ - 1}}\left( {{{{x^2} - 5x + 6} \over {{x^2} - 9}}} \right)} \over {{{\l

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Let $$S = \left\{ {\theta \in [ - \pi ,\pi ] - \left\{ { \pm \,\,{\pi \over 2}} \right\}:\sin \theta \tan \theta + \t

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The number of choices for $$\Delta \in \{ \wedge , \vee , \Rightarrow , \Leftrightarrow \} $$, such that $$(p\Delta q)

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The number of one-one functions f : {a, b, c, d} $$\to$$ {0, 1, 2, ......, 10} such
that 2f(a) $$-$$ f(b) + 3f(c) + f(d

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In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are

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Let $$A\left( {{3 \over {\sqrt a }},\sqrt a } \right),\,a > 0$$, be a fixed point in the xy-plane. The image of A in y-a

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Let a line having direction ratios, 1, $$-$$4, 2 intersect the lines $${{x - 7} \over 3} = {{y - 1} \over { - 1}} = {{z

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The number of points where the function
$$f(x) = \left\{ {\matrix{
{|2{x^2} - 3x - 7|} & {if} & {x \le - 1} \cr

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Let $$f(\theta ) = \sin \theta + \int\limits_{ - \pi /2}^{\pi /2} {(\sin \theta + t\cos \theta )f(t)dt} $$. Then the v

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Let $$\mathop {Max}\limits_{0\, \le x\, \le 2} \left\{ {{{9 - {x^2}} \over {5 - x}}} \right\} = \alpha $$ and $$\mathop

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If two tangents drawn from a point ($$\alpha$$, $$\beta$$) lying on the ellipse 25x2 + 4y2 = 1 to the parabola y2 = 4x a

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Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1,

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If the shortest distance between the lines $$\overrightarrow r = \left( { - \widehat i + 3\widehat k} \right) + \lambda

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## Physics

The bulk modulus of a liquid is 3 $$\times$$ 1010 Nm$$-$$2. The pressure required to reduce the volume of liquid by 2% i

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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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Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of r

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Identify the pair of physical quantities which have different dimensions:

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A projectile is projected with velocity of 25 m/s at an angle $$\theta$$ with the horizontal. After t seconds its inclin

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A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms$$-$$1. The coefficient of friction

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A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string

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A vertical electric field of magnitude 4.9 $$\times$$ 105 N/C just prevents a water droplet of a mass 0.1 g from falling

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A particle experiences a variable force $$\overrightarrow F = \left( {4x\widehat i + 3{y^2}\widehat j} \right)$$ in a h

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The approximate height from the surface of earth at which the weight of the body becomes $${1 \over 3}$$ of its weight o

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A resistance of 40 $$\Omega$$ is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by

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The equations of two waves are given by :
y1 = 5 sin 2$$\pi$$(x - vt) cm
y2 = 3 sin 2$$\pi$$(x $$-$$ vt + 1.5) cm
These

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A plane electromagnetic wave travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnit

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Choose the correct option from the following options given below :

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Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments 'B' and 'C

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A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulatio

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A Carnot engine whose heat sinks at 27$$^\circ$$C, has an efficiency of 25%. By how many degrees should the temperature

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A parallel plate capacitor is formed by two plates each of area 30$$\pi$$ cm2 separated by 1 mm. A material of dielectri

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The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic

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Two metallic blocks M1 and M2 of same area of cross-section are connected to each other (as shown in figure). If the the

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0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127$$^\circ$$C. Th amount of heat required to double th

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Two identical thin biconvex lens of focal length 15 cm and refractive index 1.5 are in contact with each other. The spac

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A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10 mV is added to the base-emitter

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As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. T

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Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The dist

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When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted el

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From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertic

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A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top of a vertical spring (as shown in

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In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by ano

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A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the

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