JEE Main 2021 (Online) 20th July Evening Shift

Paper was held on
Tue, Jul 20, 2021 9:30 AM

## Chemistry

Which one of the following pairs of isomers is an example of metamerism?

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In the above reactions, product A and product B respectively are :

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The major product (P) in the following reaction is :

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The single largest industrial application of dihydrogen is :

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Consider two chemical reactions (A) and (B) that take place during metallurgical process:(A) $$ZnC{O_{3(s)}}\buildrel \D

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A solution is 0.1 M in Cl$$-$$ and 0.001 M in CrO$$_4^{2 - }$$. Solid AgNO3 is gradually added to it. Assuming that the

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Outermost electronic configuration of a group 13 element, E, is 4s2, 4p1. The electronic configuration of an element of

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Metallic sodium does not react normally with :

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Spin only magnetic moment of an octahedral complex of Fe2+ in the presence of a strong field ligand in BM is :

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Which one of the following species doesn't have a magnetic moment of 1.73 BM, (spin only value)?

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Which one of the following statements is not true about enzymes?

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The hybridisations of the atomic orbitals of nitrogen in NO$$_2^ - $$, NO$$_2^ + $$ and NH$$_4^ + $$ respectively are.

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Bakelite is a cross-linked polymer of formaldehyde and :

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Benzene on nitration gives nitrobenzene in presence of HNO3 and H2SO4 mixture, where :

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Consider the above reaction, compound B is :

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Major product P of above reaction, is :

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Cu2+ salt reacts with potassium iodide to give

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In Carius method, halogen containing organic compound is heated with fuming nitric acid in the presence of :

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Which one of the following gases is reported to retard photosynthesis?

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The correct order of their reactivity towards hydrolysis at room temperature is :

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For a given chemical reaction A $$\to$$ B at 300 K the free energy change is $$-$$49.4 kJ mol$$-$$1 and the enthalpy of

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The wavelength of electrons accelerated from rest through a potential difference of 40 kV is x $$\times$$ 10$$-$$12 m. T

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The vapour pressures of A and B at 25$$^\circ$$C are 90 mm Hg and 15 mm Hg respectively. If A and B are mixed such that

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4g equimolar mixture of NaOH and Na2CO3 contains x g of NaOH and y g of Na2CO3. The value of x is ____________ g. (Neare

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When 0.15 g of an organic compound was analyzed using Carius method for estimation of bromine, 0.2397 g of AgBr was obta

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100 ml of 0.0018% (w/v) solution of Cl$$-$$ ion was the minimum concentration of Cl$$-$$ required to precipitate a negat

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$$PC{l_5}(g) \to PC{l_3}(g) + C{l_2}(g)$$In the above first order reaction the concentration of PCl5 reduces from initia

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Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred

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An aqueous solution of NiCl2 was heated with excess sodium cyanide in presence of strong oxidizing agent to form [Ni(CN)

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Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown by following equation.6OH$$-$$ + Cl$$-$

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## Mathematics

For the natural numbers m, n, if $${(1 - y)^m}{(1 + y)^n} = 1 + {a_1}y + {a_2}{y^2} + .... + {a_{m + n}}{y^{m + n}}$$ an

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The value of $$\tan \left( {2{{\tan }^{ - 1}}\left( {{3 \over 5}} \right) + {{\sin }^{ - 1}}\left( {{5 \over {13}}} \rig

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Let r1 and r2 be the radii of the largest and smallest circles, respectively, which pass through the point ($$-$$4, 1) a

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Consider the following three statements :(A) If 3 + 3 = 7 then 4 + 3 = 8(B) If 5 + 3 = 8 then earth is flat.(C) If both

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The lines x = ay $$-$$ 1 = z $$-$$ 2 and x = 3y $$-$$ 2 = bz $$-$$ 2, (ab $$\ne$$ 0) are coplanar, if :

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If [x] denotes the greatest integer less than or equal to x, then the value of the integral $$\int_{ - \pi /2}^{\pi /2}

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If the real part of the complex number $${(1 - \cos \theta + 2i\sin \theta )^{ - 1}}$$ is $${1 \over 5}$$ for $$\theta

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Let $$f:R - \left\{ {{\alpha \over 6}} \right\} \to R$$ be defined by $$f(x) = {{5x + 3} \over {6x - \alpha }}$$. Then

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If $$f:R \to R$$ is given by $$f(x) = x + 1$$, then the value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\le

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Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 $$-$$ k), the probabil

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The sum of all the local minimum values of the twice differentiable function f : R $$\to$$ R defined by $$f(x) = {x^3} -

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Let in a right angled triangle, the smallest angle be $$\theta$$. If a triangle formed by taking the reciprocal of its s

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Let y = y(x) satisfies the equation $${{dy} \over {dx}} - |A| = 0$$, for all x > 0, where $$A = \left[ {\matrix{
y

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Consider the line L given by the equation $${{x - 3} \over 2} = {{y - 1} \over 1} = {{z - 2} \over 1}$$. Let Q be the mi

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If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and $${{20} \over 3}$$, respectively, then the v

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Let $$g(t) = \int_{ - \pi /2}^{\pi /2} {\cos \left( {{\pi \over 4}t + f(x)} \right)} dx$$, where $$f(x) = {\log _e}\lef

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Let P be a variable point on the parabola $$y = 4{x^2} + 1$$. Then, the locus of the mid-point of the point P and the fo

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The value of k $$\in$$R, for which the following system of linear equations3x $$-$$ y + 4z = 3,x + 2y $$-$$ 3z = $$-$$26

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If sum of the first 21 terms of the series $${\log _{{9^{1/2}}}}x + {\log _{{9^{1/3}}}}x + {\log _{{9^{1/4}}}}x + ......

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In a triangle ABC, if $$\left| {\overrightarrow {BC} } \right| = 3$$, $$\left| {\overrightarrow {CA} } \right| = 5$$ and

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Let $$A = \{ {a_{ij}}\} $$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\matrix{
{{{( - 1)}^{j - i}}} &

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The number of solutions of the equation $${\log _{(x + 1)}}(2{x^2} + 7x + 5) + {\log _{(2x + 5)}}{(x + 1)^2} - 4 = 0$$,

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Let a curve y = y(x) be given by the solution of the differential equation $$\cos \left( {{1 \over 2}{{\cos }^{ - 1}}({e

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For p > 0, a vector $${\overrightarrow v _2} = 2\widehat i + (p + 1)\widehat j$$ is obtained by rotating the vector $

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Consider a triangle having vertices A($$-$$2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of

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If the point on the curve y2 = 6x, nearest to the point $$\left( {3,{3 \over 2}} \right)$$ is ($$\alpha$$, $$\beta$$), t

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Let a function g : [ 0, 4 ] $$\to$$ R be defined as $$g(x) = \left\{ {\matrix{
{\mathop {\max }\limits_{0 \le t \le x

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For k $$\in$$ N, let $${1 \over {\alpha (\alpha + 1)(\alpha + 2).........(\alpha + 20)}} = \sum\limits_{K = 0}^{20} {

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Let $$\left\{ {{a_n}} \right\}_{n = 1}^\infty $$ be a sequence such that a1 = 1, a2 = 1 and $${a_{n + 2}} = 2{a_{n + 1}}

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If $$\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x) + \gamma {x^2}{e^{ - x}}} \over {x{{\si

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## Physics

If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its

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A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1.

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A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circ

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With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 $$\matho

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The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of t

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In an electromagnetic wave the electric field vector and magnetic field vector are given as $$\overrightarrow E = {E_0}

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For a series LCR circuit with R = 100 $$\Omega$$, L = 0.5 mH and C = 0.1 pF connected across 220V$$-$$50 Hz AC supply, t

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Which of the following graphs represent the behavior of an ideal gas? Symbols have their usual meaning.

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A particle is making simple harmonic motion along the X-axis. If at a distances x1 and x2 from the mean position the vel

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An electron having de-Broglie wavelength $$\lambda$$ is incident on a target in a X-ray tube. Cut-off wavelength of emit

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A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic

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If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) i

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The correct relation between the degrees of freedom f and the ratio of specific heat $$\gamma$$ is :

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For a certain radioactive process the graph between In R and t(sec) is obtained as shown in the figure. Then the value o

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Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA an rB

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At an angle of 30$$^\circ$$ to the magnetic meridian, the apparent dip is 45$$^\circ$$. Find the true dip :

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A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by

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Two vectors $${\overrightarrow P }$$ and $${\overrightarrow Q }$$ have equal magnitudes. If the magnitude of $${\overrig

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Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total surface energy befo

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The magnetic susceptibility of a material of a rod is 499. Permeability in vacuum is 4$$\pi$$ $$\times$$ 10$$-$$7 H/m. A

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A zener diode having zener voltage 8 V and power dissipation rating of 0.5 W is connected across a potential divider arr

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A body of mass 'm' is launched up on a rough inclined plane making an angle of 30$$^\circ$$ with the horizontal. The coe

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In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are c

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Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii

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For the forward biased diode characteristics shown in the figure, the dynamic resistance at ID = 3 mA will be __________

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A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5 $$\mu$$F is connected across an AC supply of 250 V, havin

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One mole of an ideal gas at 27$$^\circ$$ is taken from A to B as shown in the given PV indicator diagram. The work done

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A certain metallic surface is illuminated by monochromatic radiation of wavelength $$\lambda$$. The stopping potential f

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A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations

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A radioactive substance decays to $${\left( {{1 \over {16}}} \right)^{th}}$$ of its initial activity in 80 days. The hal

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