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

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

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

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

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

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

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

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

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

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

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

View Question Arrange the following carbocations in decreasing order of stability.

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

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

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

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

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

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

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

View Question 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

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

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

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

View Question 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

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

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

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

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

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

View Question ## 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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

View Question 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 __

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

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

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

View Question 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

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

View Question 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

View Question 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.

View Question ## Physics

Identify the pair of physical quantities that have same dimensions:

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

View Question 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

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

View Question 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

View Question 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

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

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

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

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

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

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

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

View Question 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

View Question 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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

View Question