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

View Question Incorrect statement for Tyndall effect is :

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

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

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

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

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

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

View Question Among the following, which is the strongest oxidizing agent?

View Question The eutrophication of water body results in :

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

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

View Question The product formed in the following reaction.

View Question The IUPAC name of ethylidene chloride is :

View Question The major product in the reaction

View Question The intermediate X, in the reaction :

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

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

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

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

View Question 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)

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

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

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

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

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

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

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

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

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

View Question ## Mathematics

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

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

View Question 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

View Question 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

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

View Question 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

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

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

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

View Question 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}) =

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

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

View Question 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

View Question 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

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

View Question 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

View Question 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

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

View Question 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

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

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

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

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

View Question 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

View Question 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

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

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

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

View Question 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

View Question 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

View Question ## Physics

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

View Question 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

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

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

View Question 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

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

View Question 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.

View Question 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

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

View Question 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

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

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

View Question 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

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

View Question 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

View Question 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

View Question