JEE Main 2022 (Online) 28th June Evening Shift

Paper was held on
Tue, Jun 28, 2022 9:30 AM

## Chemistry

Compound A contains 8.7% Hydrogen, 74% Carbon and 17.3% Nitrogen. The molecular formula of the compound is,
Given : Atom

View Question Consider the following statements :
(A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2

View Question In the structure of SF4, the lone pair of electrons on S is in.

View Question A student needs to prepare a buffer solution of propanoic acid and its sodium salt with pH 4. The ratio of $${{[C{H_3}C{

View Question Match List - I with List - II :
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View Question Match List - I with List - II :
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View Question In the metallurgical extraction of copper, following reaction is used :
FeO + SiO2 $$\to$$ FeSiO3
FeO and FeSiO3 respect

View Question Hydrogen has three isotopes : protium (1H), deuterium (2H or D) and tritium (3H or T). They have nearly same chemical pr

View Question Among the following, basic oxide is :

View Question Among the given oxides of nitrogen ; N2O, N2O3, N2O4 and N2O5, the number of compound/(s) having N - N bond is :

View Question Which of the following oxoacids of sulphur contains "S" in two different oxidation states?

View Question Correct statement about photo-chemical smog is :

View Question The correct IUPAC name of the following compound is :

View Question The major product (P) of the given reaction is
(where, Me is $$-$$CH3)

View Question
In the above reaction 'A' is

View Question Isobutyraldehyde on reaction with formaldehyde and K2CO3 gives compound 'A'. Compound 'A' reacts with KCN and yields com

View Question With respect to the following reaction, consider the given statements :
(A) o-Nitroaniline and p-nitroaniline are the

View Question Given below are two statements, one is Assertion (A) and other is Reason (R).
Assertion (A) : Natural rubber is a linear

View Question When sugar 'X' is boiled with dilute H2SO4 in alcoholic solution, two isomers 'A' and 'B' are formed. 'A' on oxidation w

View Question The drug tegamet is :

View Question 100 g of an ideal gas is kept in a cylinder of 416 L volume at 27$$^\circ$$C under 1.5 bar pressure. The molar mass of t

View Question For combustion of one mole of magnesium in an open container at 300 K and 1 bar pressure, $$\Delta$$CH$$\Theta $$ = $$-$

View Question 2.5 g of protein containing only glycine (C2H5NO2) is dissolved in water to make 500 mL of solution. The osmotic pressur

View Question For the given reactions
Sn2+ + 2e$$-$$ $$\to$$ Sn
Sn4+ + 4e$$-$$ $$\to$$ Sn
the electrode potentials are ; $$E_{S{n^{2 +

View Question A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ______

View Question $${[Fe{(CN)_6}]^{4 - }}$$
$${[Fe{(CN)_6}]^{3 - }}$$
$${[Ti{(CN)_6}]^{3 - }}$$
$${[Ni{(CN)_4}]^{2 - }}$$
$${[Co{(CN)_6}]^

View Question (a) CoCl3.4NH3, (b) CoCl3.5NH3, (c) CoCl3.6NH3 and&nbs

View Question The complete combustion of 0.492 g of an organic compound containing 'C', 'H' and 'O' gives 0.793 g of CO2 and 0.442 g o

View Question The major product of the following reaction contains ____________ bromine atom(s).

View Question 0.01 M KMnO4 solution was added to 20.0 mL of 0.05 M Mohr's salt solution through a burette. The initial reading of 50 m

View Question ## Mathematics

Let R1 = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b| $$\le$$ 13} and
R2 = {(a, b) $$\in$$ N $$\times$$ N : |a $$-$$ b|

View Question Let f(x) be a quadratic polynomial such that f($$-$$2) + f(3) = 0. If one of the roots of f(x) = 0 is $$-$$1, then the s

View Question The number of ways to distribute 30 identical candies among four children C1, C2, C3 and C4 so that C2 receives at least

View Question The term independent of x in the expansion of $$(1 - {x^2} + 3{x^3}){\left( {{5 \over 2}{x^3} - {1 \over {5{x^2}}}} \rig

View Question If n arithmetic means are inserted between a and 100 such that the ratio of the first mean to the last mean is 1 : 7 and

View Question Let f, g : R $$\to$$ R be functions defined by
$$f(x) = \left\{ {\matrix{
{[x]} & , & {x

View Question Let f : R $$\to$$ R be a differentiable function such that $$f\left( {{\pi \over 4}} \right) = \sqrt 2 ,\,f\left( {{\pi

View Question Let f : R $$\to$$ R be a continuous function satisfying f(x) + f(x + k) = n, for all x $$\in$$ R where k > 0 and n is a

View Question The area of the bounded region enclosed by the curve $$y = 3 - \left| {x - {1 \over 2}} \right| - |x + 1|$$ and the x-ax

View Question Let x = x(y) be the solution of the differential equation $$2y\,{e^{x/{y^2}}}dx + \left( {{y^2} - 4x{e^{x/{y^2}}}} \righ

View Question Let the slope of the tangent to a curve y = f(x) at (x, y) be given by 2 $$\tan x(\cos x - y)$$. If the curve passes thr

View Question Let a triangle be bounded by the lines L1 : 2x + 5y = 10; L2 : $$-$$4x + 3y = 12 and the line L3, which passes through t

View Question Let a > 0, b > 0. Let e and l respectively be the eccentricity and length of the latus rectum of the hyperbola $${{{x^2}

View Question Let $$\overrightarrow a = \alpha \widehat i + 2\widehat j - \widehat k$$ and $$\overrightarrow b = - 2\widehat i + \a

View Question If vertex of a parabola is (2, $$-$$1) and the equation of its directrix is 4x $$-$$ 3y = 21, then the length of its lat

View Question Let the plane ax + by + cz = d pass through (2, 3, $$-$$5) and is perpendicular to the planes 2x + y $$-$$ 5z = 10 and 3

View Question The probability that a randomly chosen one-one function from the set {a, b, c, d} to the set {1, 2, 3, 4, 5} satisfies f

View Question The value of $$\mathop {\lim }\limits_{n \to \infty } 6\tan \left\{ {\sum\limits_{r = 1}^n {{{\tan }^{ - 1}}\left( {{1 \

View Question Let $$\overrightarrow a $$ be a vector which is perpendicular to the vector $$3\widehat i + {1 \over 2}\widehat j + 2\wi

View Question If cot$$\alpha$$ = 1 and sec$$\beta$$ = $$ - {5 \over 3}$$, where $$\pi

View Question Let the image of the point P(1, 2, 3) in the line $$L:{{x - 6} \over 3} = {{y - 1} \over 2} = {{z - 2} \over 3}$$ be Q.

View Question Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62, and their vari

View Question If one of the diameters of the circle $${x^2} + {y^2} - 2\sqrt 2 x - 6\sqrt 2 y + 14 = 0$$ is a chord of the circle $${(

View Question If $$\mathop {\lim }\limits_{x \to 1} {{\sin (3{x^2} - 4x + 1) - {x^2} + 1} \over {2{x^3} - 7{x^2} + ax + b}} = - 2$$,

View Question Let for n = 1, 2, ......, 50, Sn be the sum of the infinite geometric progression whose first term is n2 and whose commo

View Question If the system of linear equations $$2x - 3y = \gamma + 5$$, $$\alpha x + 5y = \beta + 1$$, where $$\alpha$$, $$\beta$$

View Question Let $$A = \left( {\matrix{
{1 + i} & 1 \cr
{ - i} & 0 \cr
} } \right)$$ where $$i = \sqrt { - 1} $$. Then, t

View Question Sum of squares of modulus of all the complex numbers z satisfying $$\overline z = i{z^2} + {z^2} - z$$ is equal to ____

View Question Let S = {1, 2, 3, 4}. Then the number of elements in the set { f : S $$\times$$ S $$\to$$ S : f is onto and f (a, b) = f

View Question The maximum number of compound propositions, out of p$$\vee$$r$$\vee$$s, p$$\vee$$r$$\vee$$$$\sim$$s, p$$\vee$$$$\sim$$q

View Question ## Physics

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $${v_2} = {n \over {{m^2}}}{v_1}$$ and

View Question A ball is spun with angular acceleration $$\alpha$$ = 6t2 $$-$$ 2t where t is in second and $$\alpha$$ is in rads$$-$$2.

View Question A block of mass 2 kg moving on a horizontal surface with speed of 4 ms$$-$$1 enters a rough surface ranging from x = 0.5

View Question A $$\sqrt {34} $$ m long ladder weighing 10 kg leans on a frictionless wall. Its feet rest on the floor 3 m away from th

View Question Water falls from a 40 m high dam at the rate of 9 $$\times$$ 104 kg per hour. Fifty percentage of gravitational potentia

View Question Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-thi

View Question A water drop of radius 1 $$\mu$$m falls in a situation where the effect of buoyant force is negligible. Co-efficient of

View Question A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during th

View Question What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen mo

View Question Two point charges A and B of magnitude +8 $$\times$$ 10$$-$$6 C and $$-$$8 $$\times$$ 10$$-$$6 C respectively are placed

View Question Resistance of the wire is measured as 2 $$\Omega$$ and 3 $$\Omega$$ at 10$$^\circ$$C and 30$$^\circ$$C respectively. Tem

View Question The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility

View Question Two parallel, long wires are kept 0.20 m apart in vacuum, each carrying current of x A in the same direction. If the for

View Question A coil is placed in a time varying magnetic field. If the number of turns in the coil were to be halved and the radius o

View Question An EM wave propagating in x-direction has a wavelength of 8 mm. The electric field vibrating y-direction has maximum mag

View Question In Young's double slit experiment performed using a monochromatic light of wavelength $$\lambda$$, when a glass plate ($

View Question Let K1 and K2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength $$\l

View Question Following statements related to radioactivity are given below :
(A) Radioactivity is a random and spontaneous process an

View Question In the given circuit the input voltage Vin is shown in figure. The cut-in voltage of p-n junction diode (D1 or D2) is 0.

View Question Amplitude modulated wave is represented by $${V_{AM}} = 10\,[1 + 0.4\cos (2\pi \times {10^4}t)]\cos (2\pi \times {10^7

View Question A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm a

View Question A zener of breakdown voltage Vz = 8 V and maximum zener current, IZM = 10 mA is subjectd to an input voltage Vi = 10 V w

View Question In a Young's double slit experiment, an angular width of the fringe is 0.35$$^\circ$$ on a screen placed at 2 m away for

View Question In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil

View Question All resistances in figure are 1 $$\Omega$$ each. The value of current 'I' is $${a \over 5}$$ A. The value of a is ______

View Question A capacitor C1 of capacitance 5 $$\mu$$F is charged to a potential of 30 V using a battery. The battery is then removed

View Question A tunning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrica

View Question A liquid of density 750 kgm$$-$$3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 =

View Question A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal axle as shown in figure. A block

View Question A car covers AB distance with first one-third at velocity v1 ms$$-$$1, second one-third at v2 ms$$-$$1 and last one-thir

View Question