JEE Main 2022 (Online) 27th June Evening Shift

Paper was held on
Mon, Jun 27, 2022 9:30 AM

## Chemistry

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas?

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Identify the incorrect statement for PCl5 from the following.

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Statement I : Leaching of gold with cyanide ion in absence of air / O2 leads to cyano complex of Au(III).
Statement II :

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The correct order of increasing intermolecular hydrogen bond strength is

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The correct order of increasing ionic radii is

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The gas produced by treating an aqueous solution of ammonium chloride with sodium nitrite is :

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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 : Flu

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In 3d series, the metal having the highest M2+/M standard electrode potential is :

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The 'f' orbitals are half and completely filled, respectively in lanthanide ions :
[Given : Atomic no. Eu, 63; Sm, 62; T

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Arrange the following coordination compounds in the increasing order of magnetic moments. (Atomic numbers : Mn = 25; Fe

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On the surface of polar stratospheric clouds, hydrolysis of chlorine nitrite gives A and B while its reaction with its r

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Which of the following is most stable?

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What will be the major product of following sequence of reactions?

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Product 'A' of following sequence of reactions is

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Match List-I with List-II.
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Decarboxylation of all six possible forms of diaminobenzoic acids C6H3(NH2)2COOH yields three products A, B and C. Three

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Which is true about Buna-N?

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Given below are two statements.
Statement I : Maltose has two $$\alpha$$-D-glucose units linked at C1 and C4 and is a re

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Match List-I with List-II
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Match List I with List II.
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116 g of a substance upon dissociation reaction, yields 7.5 g of hydrogen, 60 g of oxygen and 48.5 g of carbon. Given th

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Consider the following set of quantum numbers.
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BeO reacts with HF in presence of ammonia to give [A] which on thermal decomposition produces [B] and ammonium fluoride.

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When 5 moles of He gas expand isothermally and reversibly at 300 K from 10 litre to 20 litre, the magnitude of the maxim

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A solution containing 2.5 $$\times$$ 10$$-$$3 kg of a solute dissolved in 75 $$\times$$ 10$$-$$3 kg of water boils at 37

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pH value of 0.001 M NaOH solution is ____________.

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For the reaction taking place in the cell :
Pt (s)| H2 (g)|H+(aq) || Ag+(aq) |Ag (s)
E$$_{cell}^o$$ = + 0.5332 V.
The va

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It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming

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If the initial pressure of a gas is 0.03 atm, the mass of the gas adsorbed per gram of the adsorbent is ___________ $$

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0.25 g of an organic compound containing chlorine gave 0.40 g of silver chloride in Carius estimation. The percentage of

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## Mathematics

The number of points of intersection of $$|z - (4 + 3i)| = 2$$ and $$|z| + |z - 4| = 6$$, z $$\in$$ C, is :

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Let $$f(x) = \left| {\matrix{
a & { - 1} & 0 \cr
{ax} & a & { - 1} \cr
{a{x^2}} & {ax} & a \cr
} } \rig

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Let for some real numbers $$\alpha$$ and $$\beta$$, $$a = \alpha - i\beta $$. If the system of equations $$4ix + (1 + i

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Let A and B be two 3 $$\times$$ 3 matrices such that $$AB = I$$ and $$|A| = {1 \over 8}$$. Then $$|adj\,(B\,adj(2A))|$$

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Let $$S = 2 + {6 \over 7} + {{12} \over {{7^2}}} + {{20} \over {{7^3}}} + {{30} \over {{7^4}}} + \,.....$$. Then 4S is e

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If a1, a2, a3 ...... and b1, b2, b3 ....... are A.P., and a1 = 2, a10 = 3, a1b1 = 1 = a10b10, then a4 b4 is equal to -

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If m and n respectively are the number of local maximum and local minimum points of the function $$f(x) = \int\limits_0^

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Let f be a differentiable function in $$\left( {0,{\pi \over 2}} \right)$$. If $$\int\limits_{\cos x}^1 {{t^2}\,f(t)dt

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The integral $$\int\limits_0^1 {{1 \over {{7^{\left[ {{1 \over x}} \right]}}}}dx} $$, where [ . ] denotes the greatest i

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If the solution curve of the differential equation $$(({\tan ^{ - 1}}y) - x)dy = (1 + {y^2})dx$$ passes through the poin

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If the equation of the parabola, whose vertex is at (5, 4) and the directrix is $$3x + y - 29 = 0$$, is $${x^2} + a{y^2}

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The set of values of k, for which the circle $$C:4{x^2} + 4{y^2} - 12x + 8y + k = 0$$ lies inside the fourth quadrant an

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Let the foot of the perpendicular from the point (1, 2, 4) on the line $${{x + 2} \over 4} = {{y - 1} \over 2} = {{z + 1

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The shortest distance between the lines $${{x - 3} \over 2} = {{y - 2} \over 3} = {{z - 1} \over { - 1}}$$ and $${{x + 3

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Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be the vectors along the diagonals of a parallelogram having area

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The mean and variance of the data 4, 5, 6, 6, 7, 8, x, y, where x

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If a point A(x, y) lies in the region bounded by the y-axis, straight lines 2y + x = 6 and 5x $$-$$ 6y = 30, then the pr

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The value of $$\cot \left( {\sum\limits_{n = 1}^{50} {{{\tan }^{ - 1}}\left( {{1 \over {1 + n + {n^2}}}} \right)} } \rig

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$$\alpha = \sin 36^\circ $$ is a root of which of the following equation?

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Which of the following statement is a tautology?

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Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Define f : S $$\to$$ S as
$$f(n) = \left\{ {\matrix{
{2n} & , & {if\,n = 1,2

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Let $$\alpha$$, $$\beta$$ be the roots of the equation $${x^2} - 4\lambda x + 5 = 0$$ and $$\alpha$$, $$\gamma$$ be the

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Let A be a matrix of order 2 $$\times$$ 2, whose entries are from the set {0, 1, 2, 3, 4, 5}. If the sum of all the entr

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If the sum of the coefficients of all the positive powers of x, in the Binomial expansion of $${\left( {{x^n} + {2 \over

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Let [t] denote the greatest integer $$\le$$ t and {t} denote the fractional part of t. The integral value of $$\alpha$$

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If $$y(x) = {\left( {{x^x}} \right)^x},\,x > 0$$, then $${{{d^2}x} \over {d{y^2}}} + 20$$ at x = 1 is equal to _________

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If the area of the region $$\left\{ {(x,y):{x^{{2 \over 3}}} + {y^{{2 \over 3}}} \le 1,\,x + y \ge 0,\,y \ge 0} \right\}

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Let $$y = y(x)$$ be the solution of the differential equation $$(1 - {x^2})dy = \left( {xy + ({x^3} + 2)\sqrt {1 - {x^2}

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Let a circle C of radius 5 lie below the x-axis. The line L1 : 4x + 3y + 2 = 0 passes through the centre P of the circle

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Let S = {E1, E2, ........., E8} be a sample space of a random experiment such that $$P({E_n}) = {n \over {36}}$$ for eve

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## Physics

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be :

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The distance of the Sun from earth is 1.5 $$\times$$ 1011 m and its angular diameter is (2000) s when observed from the

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When a ball is dropped into a lake from a height 4.9 m above the water level, it hits the water with a velocity v and th

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One end of a massless spring of spring constant k and natural length l0 is fixed while the other end is connected to a s

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A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At

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Four spheres each of mass m from a square of side d (as shown in figure). A fifth sphere of mass M is situated at the ce

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For a perfect gas, two pressures P1 and P2 are shown in figure. The graph shows :

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According to kinetic theory of gases,
A. The motion of the gas molecules freezes at 0$$^\circ$$C.
B. The mean free path

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A lead bullet penetrates into a solid object and melts. Assuming that 40% of its kinetic energy is used to heat it, the

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The equation of a particle executing simple harmonic motion is given by $$x = \sin \pi \left( {t + {1 \over 3}} \right)m

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If a charge q is placed at the centre of a closed hemispherical non-conducting surface, the total flux passing through t

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Three identical charged balls each of charge 2 C are suspended from a common point P by silk threads of 2 m each (as sho

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Two long parallel conductors S1 and S2 are separated by a distance 10 cm and carrying currents of 4A and 2A respectively

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If L, C and R are the self inductance, capacitance and resistance respectively, which of the following does not have the

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Given below are two statements :
Statement I : A time varying electric field is a source of changing magnetic field and

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A convex lens has power P. It is cut into two halves along its principal axis. Further one piece (out of the two halves)

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If a wave gets refracted into a denser medium, then which of the following is true?

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Given below are two statements :
Statement I : In hydrogen atom, the frequency of radiation emitted when an electron jum

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For a transistor to act as a switch, it must be operated in

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We do not transmit low frequency signal to long distances because-
(a) The size of the antenna should be comparable to s

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A mass of 10 kg is suspended vertically by a rope of length 5 m from the roof. A force of 30 N is applied at the middle

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A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of 3 kg through a string of fixed

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A diatomic gas ($$\gamma$$ = 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the p

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A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to trave

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A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is connected wi

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The current density in a cylindrical wire of radius r = 4.0 mm is 1.0 $$\times$$ 106 A/m2. The current through the outer

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In the given circuit 'a' is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum

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A deuteron and a proton moving with equal kinetic energy enter into a uniform magnetic field at right angle to the field

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A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards Eas

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The cut-off voltage of the diodes (shown in figure) in forward bias is 0.6 V. The current through the resister of 40 $$\

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