JEE Main 2022 (Online) 24th June Evening Shift

Paper was held on
Fri, Jun 24, 2022 9:30 AM

## Chemistry

120 g of an organic compound that contains only carbon and hydrogen gives 330 g of CO2 and 270 g of water on complete co

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The energy of one mole of photons of radiation of wavelength 300 nm is (Given : h = 6.63 $$\times$$ 10$$-$$34 J s, NA =

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The correct order of bond orders of $${C_2}^{2 - }$$, $${N_2}^{2 - }$$ and $${O_2}^{2 - }$$ is, respectively

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At 25$$^\circ$$C and 1 atm pressure, the enthalpies of combustion are as given below :
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For a first order reaction, the time required for completion of 90% reaction is 'x' times the half life of the reaction.

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Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be

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Which of the following chemical reactions represents Hall-Heroult Process?

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In the industrial production of which of the following, molecular hydrogen is obtained as a byproduct?

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Which one of the following compounds is used as a chemical in certain type of fire extinguishers?

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PCl5 is well known, but NCl5 is not. because,

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Transition metal complex with highest value of crystal field splitting ($$\Delta$$0) will be :

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Some gases are responsible for heating of atmosphere (green house effect). Identify from the following the gaseous speci

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Arrange the following carbocations in decreasing order of stability.

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Given below are two statements :
Statement I : The presence of weaker $$\pi$$-bonds make alkenes less stable than alkane

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Which of the following reagents / reactions will convert 'A' to 'B' ?

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Hex-4-ene-2-ol on treatment with PCC gives 'A'. 'A' on reaction with sodium hypoiodite gives 'B', which on further heati

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The conversion of propan-1-ol to n-butylamine involves the sequential addition of reagents. The correct sequential order

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Which of the following is not an example of a condensation polymer?

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The structure shown below is of which well-known drug molecule?

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In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following cations

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At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The mo

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A company dissolves 'x' amount of CO2 at 298 K in 1 litre of water to prepare soda water. X = __________ $$\times$$ 10$$

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PCl5 dissociates as
PCl5(g) $$\rightleftharpoons$$ PCl3(g) + Cl2(g)
5 moles of PCl5 are placed in a 200 litre vessel whi

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The resistance of a conductivity cell containing 0.01 M KCl solution at 298 K is 1750 $$\Omega$$. If the conductivity of

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When 200 mL of 0.2 M acetic acid is shaken with 0.6 g of wood charcoal, the final concentration of acetic acid after ads

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(a) Baryte, (b) Galena, (c) Zinc blende and (d) Copper pyrites. How many of these minerals are sulphide based?

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Manganese (VI) has ability to disproportionate in acidic solution. The difference in oxidation states of two ions it for

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0.2 g of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of N2 evolved (at S

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Consider the above reaction. The number of $$\pi$$ electrons present in the product 'P' is __________.

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In alanylglycyl leucyl alanyl valine, the number of peptide linkages is ___________.

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## Mathematics

Let $$x * y = {x^2} + {y^3}$$ and $$(x * 1) * 1 = x * (1 * 1)$$.
Then a value of $$2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2

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The sum of all the real roots of the equation $$({e^{2x}} - 4)(6{e^{2x}} - 5{e^x} + 1) = 0$$ is

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Let the system of linear equations
x + y + $$\alpha$$z = 2
3x + y + z = 4
x + 2z = 1
have a unique solution (x$$^ * $$,

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Let x, y > 0. If x3y2 = 215, then the least value of 3x + 2y is

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Let $$f(x) = \left\{ {\matrix{
{{{\sin (x - [x])} \over {x - [x]}}} & {,\,x \in ( - 2, - 1)} \cr
{\max \{ 2x,3[|

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The value of the integral $$\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {(1 + {e^x})({{\sin }^6}x + {{\cos }^6}x)}}} $

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$$\mathop {\lim }\limits_{n \to \infty } \left( {{{{n^2}} \over {({n^2} + 1)(n + 1)}} + {{{n^2}} \over {({n^2} + 4)(n +

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A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the

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Let the maximum area of the triangle that can be inscribed in the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over 4}

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Let the area of the triangle with vertices A(1, $$\alpha$$), B($$\alpha$$, 0) and C(0, $$\alpha$$) be 4 sq. units. If th

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The number of distinct real roots of the equation x7 $$-$$ 7x $$-$$ 2 = 0 is

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A random variable X has the following probability distribution :
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The number of solutions of the equation $$\cos \left( {x + {\pi \over 3}} \right)\cos \left( {{\pi \over 3} - x} \righ

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

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Let the points on the plane P be equidistant from the points ($$-$$4, 2, 1) and (2, $$-$$2, 3). Then the acute angle bet

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Let $$\widehat a$$ and $$\widehat b$$ be two unit vectors such that $$|(\widehat a + \widehat b) + 2(\widehat a \times \

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If $$y = {\tan ^{ - 1}}\left( {\sec {x^3} - \tan {x^3}} \right),{\pi \over 2}

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Consider the following statements:
A : Rishi is a judge.
B : Rishi is honest.
C : Rishi is not arrogant.
The negation of

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The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by $${{{x^2}} \over {xy - {x^2}{y^2

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Let $$\lambda$$$$^ * $$ be the largest value of $$\lambda$$ for which the function $${f_\lambda }(x) = 4\lambda {x^3} -

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Let S = {z $$\in$$ C : |z $$-$$ 3| $$\le$$ 1 and z(4 + 3i) + $$\overline z $$(4 $$-$$ 3i) $$\le$$ 24}. If $$\alpha$$ + i

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Let $$S = \left\{ {\left( {\matrix{
{ - 1} & a \cr
0 & b \cr
} } \right);a,b \in \{ 1,2,3,....100\} } \right

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The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is __

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The sum of all the elements of the set $$\{ \alpha \in \{ 1,2,.....,100\} :HCF(\alpha ,24) = 1\} $$ is __________.

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The remainder on dividing 1 + 3 + 32 + 33 + ..... + 32021 by 50 is _________.

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The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is __________.

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Let a circle C : (x $$-$$ h)2 + (y $$-$$ k)2 = r2, k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects t

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In an examination, there are 10 true-false type questions. Out of 10, a student can guess the answer of 4 questions corr

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Let the hyperbola $$H:{{{x^2}} \over {{a^2}}} - {y^2} = 1$$ and the ellipse $$E:3{x^2} + 4{y^2} = 12$$ be such that the

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Let P1 be a parabola with vertex (3, 2) and focus (4, 4) and P2 be its mirror image with respect to the line x + 2y = 6.

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## Physics

Identify the pair of physical quantities that have same dimensions:

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The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :

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A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the strin

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Two identical charged particles each having a mass 10 g and charge 2.0 $$\times$$ 10$$-$$7C are placed on a horizontal

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A Carnot engine takes 5000 kcal of heat from a reservoir at 727$$^\circ$$C and gives heat to a sink at 127$$^\circ$$C. T

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Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses

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What will be the most suitable combination of three resistors A = 2$$\Omega$$, B = 4$$\Omega$$, C = 6$$\Omega$$ so that

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The soft-iron is a suitable material for making an electromagnet. This is because soft-iron has

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A proton, a deutron and an $$\alpha$$-particle with same kinetic energy enter into a uniform magnetic field at right ang

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Given below are two statements :
Statement I : The reactance of an ac circuit is zero. It is possible that the circuit c

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Potential energy as a function of r is given by $$U = {A \over {{r^{10}}}} - {B \over {{r^5}}}$$, where r is the interat

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An object of mass 5 kg is thrown vertically upwards from the ground. The air resistance produces a constant retarding fo

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A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the f

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A 100 g of iron nail is hit by a 1.5 kg hammer striking at a velocity of 60 ms$$-$$1. What will be the rise in the tempe

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If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the c

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A long cylindrical volume contains a uniformly distributed charge of density $$\rho$$. The radius of cylindrical volume

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An electric bulb is rated as 200 W. What will be the peak magnetic field at 4 m distance produced by the radiations comi

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The light of two different frequencies whose photons have energies 3.8 eV and 1.4 eV respectively, illuminate a metallic

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Two light beams of intensities in the ratio of 9 : 4 are allowed to interfere. The ratio of the intensity of maxima and

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In Bohr's atomic model of hydrogen, let K, P and E are the kinetic energy, potential energy and total energy of the elec

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A body is projected from the ground at an angle of 45$$^\circ$$ with the horizontal. Its velocity after 2s is 20 ms$$-$$

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An antenna is placed in a dielectric medium of dielectric constant 6.25. If the maximum size of that antenna is 5.0 mm,

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A potentiometer wire of length 10 m and resistance 20 $$\Omega$$ is connected in series with a 25 V battery and an exter

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Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfer

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In the given circuit, the value of current IL will be ____________ mA. (When RL = 1k$$\Omega$$)

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A sample contains 10$$-$$2 kg each of two substances A and B with half lives 4 s and 8 s respectively. The ratio of thei

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A ray of light is incident at an angle of incidence 60$$^\circ$$ on the glass slab of refractive index $$\sqrt3$$. After

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A circular coil of 1000 turns each with area 1m2 is rotated about its vertical diameter at the rate of one revolution pe

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A monoatomic gas performs a work of $${Q \over {4}}$$ where Q is the heat supplied to it. The molar heat capacity of the

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In an experiment to verify Newton's law of cooling, a graph is plotted between the temperature difference ($$\Delta$$T)

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