JEE Main 2021 (Online) 16th March Morning Shift

Paper was held on
Tue, Mar 16, 2021 3:30 AM

## Chemistry

The product ''P'' in the above reaction is :

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Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R :Assertion A : The

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In the above chemical reaction, intermediate ''X'' and reagent/condition ''A'' are :

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The type of pollution that gets increased during the day time and in the presence of O3 is :

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The functions of antihistamine are :

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Match List - I with List - II :
List - IIndustrial process
List - IIApplication
(a)

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Assertion A : Enol form of acetone [CH3COCH3] exists in < 0.1% quantity. However, the enol form of acetyl acetone [CH

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Given below are two statements :Statement I : The Eo value for Ce4+ / Ce3+ is + 1.74 V.Statement II : Ce is more stable

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In chromotography technique, the purification of compound is independent of :

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Given below are two statements :Statement I : H2O2 can act as both oxidising and reducing agent in basic medium.Statemen

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A group of 15 element, which is a metal and forms a hydride with strongest reducing power among group 15 hydrides. The e

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Among the following, the aromatic compounds are :Choose the correct answer from the following options :

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Match List - I with List - II :
List - I Name of oxo acid
List - II Oxidation state of 'P'

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Which of the following reactions DOES NOT involve Hoffmann bromamide degradation?

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Which of the following is Lindlar catalyst?

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Given below are two statements :Statement I : Both CaCl2 . 6H2O and MgCl2 . 8H2O undergo dehydration on heating.Statemen

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Which among the following pairs of Vitamins is stored in our body relatively for longer duration?

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The process that involves the removal of sulphur from the ores is :

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Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R :Assertion A : Size

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The products ''A'' and ''B'' formed in above reactions are :

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The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-co

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Two salts A2X and MX have the same value of solubility product of 4.0 $$\times$$ 10$$-$$12. The ratio of their molar sol

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Complete combustion of 750 g of an organic compound provides 420 g of CO2 and 210 g of H2O. The percentage composition o

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For the reaction $$A(g) \rightleftharpoons B(g)$$ at 495 K, $$\Delta$$rG$$^\circ$$ = $$-$$9.478 kJ mol$$-$$1.If we start

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$$2MnO_4^ - + b{C_2}O_4^{2 - } + c{H^ + } \to xM{n^{2 + }} + yC{O_2} + z{H_2}O$$If the above equation is balanced with

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A certain element crystallises in a bcc lattice of unit cell edge length 27$$\mathop A\limits^o $$. If the same element

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A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm$$-$$3. The molarity of the solution is ____________ mol dm

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AB2 is 10% dissociated in water to A2+ and B$$-$$. The boiling point of a 10.0 molal aqueous solution of AB2 is ________

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When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted electr

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The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $$\t

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## Mathematics

Let a vector $$\alpha \widehat i + \beta \widehat j$$ be obtained by rotating the vector $$\sqrt 3 \widehat i + \widehat

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Let $${S_k} = \sum\limits_{r = 1}^k {{{\tan }^{ - 1}}\left( {{{{6^r}} \over {{2^{2r + 1}} + {3^{2r + 1}}}}} \right)} $$.

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Let the position vectors of two points P and Q be 3$$\widehat i$$ $$-$$ $$\widehat j$$ + 2$$\widehat k$$ and $$\widehat

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Which of the following Boolean expression is a tautology?

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The number of elements in the set {x $$\in$$ R : (|x| $$-$$ 3) |x + 4| = 6} is equal to :

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If the three normals drawn to the parabola, y2 = 2x pass through the point (a, 0) a $$\ne$$ 0, then 'a' must be greater

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Let a complex number z, |z| $$\ne$$ 1, satisfy $${\log _{{1 \over {\sqrt 2 }}}}\left( {{{|z| + 11} \over {{{(|z| - 1)}^2

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Let $$A = \left[ {\matrix{
i & { - i} \cr
{ - i} & i \cr
} } \right],i = \sqrt { - 1} $$. Then, the

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Let P be a plane lx + my + nz = 0 containing the line, $${{1 - x} \over 1} = {{y + 4} \over 2} = {{z + 2} \over 3}$$. If

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The number of roots of the equation, (81)sin2x + (81)cos2x = 30 in the interval [ 0, $$\pi$$ ] is equal to :

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If n is the number of irrational terms in the expansion of $${\left( {{3^{1/4}} + {5^{1/8}}} \right)^{60}}$$, then (n $$

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The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola, $${{{x^2}} \over

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Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined as :$$f(x) = \left\{ {\matrix{
{x + 2,} & {x

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If for a > 0, the feet of perpendiculars from the points A(a, $$-$$2a, 3) and B(0, 4, 5) on the plane lx + my + nz =

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Let [ x ] denote greatest integer less than or equal to x. If for n$$\in$$N, $${(1 - x + {x^3})^n} = \sum\limits_{j = 0}

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Consider three observations a, b, and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then

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The range of a$$\in$$R for which the function f(x) = (4a $$-$$ 3)(x + loge 5) + 2(a $$-$$ 7) cot$$\left( {{x \over 2}} \

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If for x $$\in$$ $$\left( {0,{\pi \over 2}} \right)$$, log10sinx + log10cosx = $$-$$1 and log10(sinx + cosx) = $${1 \ov

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A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the

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If y = y(x) is the solution of the differential equation, $${{dy} \over {dx}} + 2y\tan x = \sin x,y\left( {{\pi \over 3

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Let the curve y = y(x) be the solution of the differential equation, $${{dy} \over {dx}}$$ = 2(x + 1). If the numerical

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Let ABCD be a square of side of unit length. Let a circle C1 centered at A with unit radius is drawn. Another circle C2

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Let f : R $$ \to $$ R be a continuous function such that f(x) + f(x + 1) = 2, for all x$$\in$$R. If $${I_1} = \int\limit

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Let f : (0, 2) $$ \to $$ R be defined as f(x) = log2$$\left( {1 + \tan \left( {{{\pi x} \over 4}} \right)} \right)$$. Th

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If the normal to the curve y(x) = $$\int\limits_0^x {(2{t^2} - 15t + 10)dt} $$ at a point (a, b) is parallel to the line

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Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}.

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Let $$P = \left[ {\matrix{
{ - 30} & {20} & {56} \cr
{90} & {140} & {112} \cr
{120} & {

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If $$\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x\sin x}} = 2$$, then a + b + c is equal

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Let z and $$\omega$$ be two complex numbers such that $$\omega = z\overline z - 2z + 2,\left| {{{z + i} \over {z - 3i}}

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The total number of 3 $$\times$$ 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diag

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## Physics

The pressure acting on a submarine is 3 $$\times$$ 105 Pa at a certain depth. If the depth is doubled, the percentage in

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A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The wavelength (in meter) o

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The velocity-displacement graph describing the motion of bicycle is shown in the figure.The acceleration-displacement gr

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A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $$\theta$$ as shown in

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A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20

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Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an accel

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The angle of deviation through a prism is minimum when(A) Incident ray and emergent ray are symmetric to the prism.(B) T

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Four equal masses, m each are placed at the comers of a square of length (l) as shown in the figure. The moment of inert

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In thermodynamics, heat and work are :

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For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used

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A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in sp

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The maximum and minimum distances of a comet from the Sun are 1.6 $$\times$$ 1012 m and 8.0 $$\times$$ 1010 m respective

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A conducting wire of length 'l', area of cross-section A and electric resistivity $$\rho$$ is connected between the term

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A bar magnet of length 14 cm is placed in the magnetic meridian with its north pole pointing towards the geographic nort

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For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (Ue)

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The stopping potential in the context of photoelectric effect depends on the following property of incident electromagne

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An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitore

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One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n $$-$$ 1)

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A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure Two resistors R1 a

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The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon diox

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The value of power dissipated across the zener diode (Vz = 15V) connected in the circuit as shown in the figure is x $$\

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A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelengt

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In the figure given, the electric current flowing through the 5 k$$\Omega$$ resistor is 'x' mA.The value of x to the nea

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Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is at rest initially. The

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The resistance R = $${V \over I}$$, where V = (50 $$\pm$$ 2)V and I = (20 $$\pm$$ 0.2)A. The percentage error in R is 'x

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A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8$$\Omega$$, L = 24 mH and C =

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In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'.The val

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A ball of mass 10 kg moving with a velocity $$10\sqrt 3 $$ m s$$-$$1 along X-axis, hits another ball of mass 20 kg which

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The first three spectral lines of H-atom in the Balmer series are given $$\lambda$$1, $$\lambda$$2, $$\lambda$$3 conside

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Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force $$\overrig

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