JEE Main 2022 (Online) 25th June Morning Shift

Paper was held on
Sat, Jun 25, 2022 3:30 AM

## Chemistry

Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an e

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Incorrect statement for Tyndall effect is :

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The pair, in which ions are isoelectronic with AI3+ is :

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Leaching of gold with dilute aqueous solution of NaCN in presence of oxygen gives complex [A], which on reaction with zi

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Number of electron deficient molecules among the following
PH3, B2H6, CCl4, NH3, LiH and BCl3 is

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Which one of the following alkaline earth metal ions has the highest ionic mobility in its aqueous solution?

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White precipitate of AgCl dissolves in aqueous ammonia solution due to formation of :

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Cerium (IV) has a noble gas configuration. Which of the following is correct statement about it?

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Among the following, which is the strongest oxidizing agent?

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The eutrophication of water body results in :

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Phenol on reaction with dilute nitric acid, gives two products. Which method will be most efficient for large scale sepa

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In the following structures, which on is having staggered conformation with maximum dihedral angle?

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The product formed in the following reaction.

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The IUPAC name of ethylidene chloride is :

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The major product in the reaction

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The intermediate X, in the reaction :

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In the following reaction :
The compounds A and B respectively are :

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The reaction of with bromine and KOH gives RNH2 as the end product. Which one of the following is the intermediate prod

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Using very little soap while washing clothes, does not serve the purpose of cleaning of clothes, because :

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Which one of the following is an example of artificial sweetner?

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The number of N atoms in 681 g of C7H5N3O6 is x $$\times$$ 1021. The value of x is (NA = 6.02 $$\times$$ 1023 mol$$-$$1)

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The distance between Na+ and Cl$$-$$ ions in solid NaCl of density 43.1 g cm$$-$$3 is _______________ $$\times$$ 10$$-$$

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The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x $$\tim

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The standard entropy change for the reaction
4Fe(s) + 3O2(g) $$\to$$ 2Fe2O3(s) is $$-$$550 J K$$-$$1 at 298 K.
[Given :

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1 L aqueous solution of H2SO4 contains 0.02 m mol H2SO4. 50% of this solution is diluted with deionized water to give 1

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The standard free energy change ($$\Delta$$G$$^\circ$$) for 50% dissociation of N2O4 into NO2 at 27$$^\circ$$C and 1 atm

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In a cell, the following reactions take place
$$\matrix{
{F{e^{2 + }} \to F{e^{3 + }} + {e^ - }} & {E_{F{e^{3 + }}/F{

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For a given chemical reaction
$$\gamma$$1A + $$\gamma$$2B $$\to$$ $$\gamma$$3C + $$\gamma$$4D
Concentration of C changes

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If [Cu(H2O)4]2+ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field spli

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Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is ___________ $$\times$$ 10$$-$$2 g. (At

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## Mathematics

Let a circle C touch the lines $${L_1}:4x - 3y + {K_1} = 0$$ and $${L_2} = 4x - 3y + {K_2} = 0$$, $${K_1},{K_2} \in R$$.

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The value of $$\int\limits_0^\pi {{{{e^{\cos x}}\sin x} \over {(1 + {{\cos }^2}x)({e^{\cos x}} + {e^{ - \cos x}})}}dx}

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Let a, b and c be the length of sides of a triangle ABC such that $${{a + b} \over 7} = {{b + c} \over 8} = {{c + a} \ov

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Let f : N $$\to$$ R be a function such that $$f(x + y) = 2f(x)f(y)$$ for natural numbers x and y. If f(1) = 2, then the

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Let A be a 3 $$\times$$ 3 real matrix such that
$$A\left( {\matrix{
1 \cr
1 \cr
0 \cr
} } \right) = \le

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Let f : R $$\to$$ R be defined as $$f(x) = {x^3} + x - 5$$. If g(x) is a function such that $$f(g(x)) = x,\forall 'x' \i

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Consider the following two propositions:
$$P1: \sim (p \to \sim q)$$
$$P2:(p \wedge \sim q) \wedge (( \sim p) \vee q)$

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If $${1 \over {2\,.\,{3^{10}}}} + {1 \over {{2^2}\,.\,{3^9}}} + \,\,.....\,\, + \,\,{1 \over {{2^{10}}\,.\,3}} = {K \ove

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Let f(x) be a polynomial function such that $$f(x) + f'(x) + f''(x) = {x^5} + 64$$. Then, the value of $$\mathop {\lim }

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Let E1 and E2 be two events such that the conditional probabilities $$P({E_1}|{E_2}) = {1 \over 2}$$, $$P({E_2}|{E_1}) =

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Let $$A = \left[ {\matrix{
0 & { - 2} \cr
2 & 0 \cr
} } \right]$$. If M and N are two matrices given by $$M

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Let $$g:(0,\infty ) \to R$$ be a differentiable function such that $$\int {\left( {{{x(\cos x - \sin x)} \over {{e^x} +

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Let $$f:R \to R$$ and $$g:R \to R$$ be two functions defined by $$f(x) = {\log _e}({x^2} + 1) - {e^{ - x}} + 1$$ and $$g

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Let $$\overrightarrow a = {a_1}\widehat i + {a_2}\widehat j + {a_3}\widehat k$$ $${a_i} > 0$$, $$i = 1,2,3$$ be a vecto

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Let $$y = y(x)$$ be the solution of the differential equation $$(x + 1)y' - y = {e^{3x}}{(x + 1)^2}$$, with $$y(0) = {1

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If $$y = {m_1}x + {c_1}$$ and $$y = {m_2}x + {c_2}$$, $${m_1} \ne {m_2}$$ are two common tangents of circle $${x^2} + {y

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Let Q be the mirror image of the point P(1, 0, 1) with respect to the plane S : x + y + z = 5. If a line L passing throu

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If the solution curve $$y = y(x)$$ of the differential equation $${y^2}dx + ({x^2} - xy + {y^2})dy = 0$$, which passes t

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Let $$x = 2t$$, $$y = {{{t^2}} \over 3}$$ be a conic. Let S be the focus and B be the point on the axis of the conic suc

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Let a circle C in complex plane pass through the points $${z_1} = 3 + 4i$$, $${z_2} = 4 + 3i$$ and $${z_3} = 5i$$. If $$

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Let Cr denote the binomial coefficient of xr in the expansion of $${(1 + x)^{10}}$$. If for $$\alpha$$, $$\beta$$ $$\in$

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The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is _____________.

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Let $$\theta$$ be the angle between the vectors $$\overrightarrow a $$ and $$\overrightarrow b $$, where $$|\overrightar

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Let the abscissae of the two points P and Q be the roots of $$2{x^2} - rx + p = 0$$ and the ordinates of P and Q be the

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The number of values of x in the interval $$\left( {{\pi \over 4},{{7\pi } \over 4}} \right)$$ for which $$14\cos e{c^2

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For a natural number n, let $${\alpha _n} = {19^n} - {12^n}$$. Then, the value of $${{31{\alpha _9} - {\alpha _{10}}} \o

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Let $$f:R \to R$$ be a function defined by $$f(x) = {\left( {2\left( {1 - {{{x^{25}}} \over 2}} \right)(2 + {x^{25}})} \

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Let the lines
$${L_1}:\overrightarrow r = \lambda \left( {\widehat i + 2\widehat j + 3\widehat k} \right),\,\lambda \i

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Let A be a 3 $$\times$$ 3 matrix having entries from the set {$$-$$1, 0, 1}. The number of all such matrices A having su

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The greatest integer less than or equal to the sum of first 100 terms of the sequence $${1 \over 3},{5 \over 9},{{19} \o

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## Physics

If $$Z = {{{A^2}{B^3}} \over {{C^4}}}$$, then the relative error in Z will be :

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$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the followi

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Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$\theta$

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If force $$\overrightarrow F = 3\widehat i + 4\widehat j - 2\widehat k$$ acts on a particle position vector $$2\widehat

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The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gra

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The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

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The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecu

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In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance l and 2l from

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Match List-I with List-II.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:sol

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A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uni

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If wattless current flows in the AC circuit, then the circuit is :

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The electric field in an electromagnetic wave is given by E = 56.5 sin $$\omega$$(t $$-$$ x/c) NC$$-$$1. Find the intens

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The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference

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A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating

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Given below are two statements :
Statement I : Davisson-Germer experiment establishes the wave nature of electrons.
Stat

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The ratio for the speed of the electron in the 3rd orbit of He+ to the speed of the electron in the 3rd orbit of hydroge

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The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode becaus

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A signal of 100 THz frequency can be transmitted with maximum efficiency by :

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The difference of speed of light in the two media A and B (vA $$-$$ vB) is 2.6 $$\times$$ 107 m/s. If the refractive ind

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A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students t

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A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table.

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A 0.5 kg block moving at a speed of 12 ms$$-$$1 compresses a spring through a distance 30 cm when its speed is halved. T

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The velocity of upper layer of water in a river is 36 kmh$$-$$1. Shearing stress between horizontal layers of water is 1

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A steam engine intakes 50 g of steam at 100$$^\circ$$C per minute and cools it down to 20$$^\circ$$C. If latent heat of

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The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the

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The equivalent capacitance between points A and B in below shown figure will be __________ $$\mu$$F.

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A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increase

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The total current supplied to the circuit as shown in figure by the 5 V battery is ____________ A.

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The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent du

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A force on an object of mass 100 g is $$\left( {10\widehat i + 5\widehat j} \right)$$ N. The position of that object at

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