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

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

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

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

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

View Question Match List - I with List - II :
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View Question The highest industrial consumption of molecular hydrogen is to produce compounds of element :

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

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

View Question The most stable trihalide of nitrogen is :

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

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

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

View Question Which of the following is an example of conjugated diketone?

View Question
The major product of the above reactions is :

View Question Which of the following is an example of polyester?

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

View Question Which of the following is not a broad spectrum antibiotic?

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

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

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

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

View Question 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

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

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

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

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

View Question Number of electrophilic centres in the given compound is _______________.

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

View Question ## Mathematics

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

View Question The remainder when 32022 is divided by 5 is :

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

View Question 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

View Question 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

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

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

View Question 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

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

View Question 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?

View Question 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

View Question 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

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

View Question 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

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

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

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

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

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

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

View Question 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

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

View Question 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

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

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

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

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

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

View Question 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,

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

View Question ## 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

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

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

View Question Identify the pair of physical quantities which have different dimensions:

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

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

View Question 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

View Question 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

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

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

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

View Question 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

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

View Question Choose the correct option from the following options given below :

View Question 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

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

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

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

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

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

View Question 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

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

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

View Question 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

View Question 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

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

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

View Question 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

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

View Question 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

View Question