JEE Main 2021 (Online) 18th March Morning Shift

Paper was held on
Thu, Mar 18, 2021 3:30 AM

## Chemistry

Considering the above reaction, X and Y respectively are :

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The ionic radius of Na+ ions is 1.02 $$\mathop A\limits^o $$. The ionic radii (in $$\mathop A\limits^o $$) of Mg2+ and A

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Reaction of Grignard reagent, C2H5MgBr with C8H8O followed by hydrolysis gives compound "A" which reacts instantly with

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Reagent, 1-napthylamine and sulphanilic acid in acetic acid is used for the detection of

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A non-reducing sugar "A" hydrolyses to give two reducing mono saccharides. Sugar A is

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Match the list - I with list - II
List - I(Class of Drug)
List - II(Example)
(a)
A

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Consider the above chemical reaction and identify product "A"

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Match List - I with List - II
List - I
List - II
(a)
Chlorophyll
(i)
Ruthe

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Match List - I with List - II :List - I (Chemicals)(a) Alcoholic potassium hydroxide(b) Pd/BaSO4(c) BHC (Benzene hexachl

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The statements that are TRUE :(A) Methane leads to both global warming and photochemical smog(B) Methane is generated fr

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Match List - I with List - II
List - I
List - II
(a)
$$Ca{(OCl)_2}$$
(i)
A

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Compound with molecular formula C3H6O can show :

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The correct structures of trans-[NiBr2(PPh3)2] and meridonial-[Co(NH3)3(NO2)3], respectively, are

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A certain orbital has no angular nodes and two radial nodes. The orbital is :

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Considering the above chemical reaction, identify the product "X" :

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Match List - I with List - II
List - I(process)
List - II(catalyst)
(a)
Deacron's

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Given below are two statements : One is labelled as Assertion A and the other labelled as reason RAssertion A : During t

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The number of ionisable hydrogens present in the product obtained from a reaction of phosphorus trichloride and phosphon

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In a binary compound, atoms of element A form a hcp structure and those of element M occupy 2/3 of the tetrahedral voids

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The chemical that is added to reduce the melting point of the reaction mixture during the extraction of aluminium is :

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AX is a covalent diatomic molecule where A and X are second row elements of periodic table. Based on Molecular orbital t

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In order to prepare a buffer solution of pH 5.74, sodium acetate is added to acetic acid. If the concentration of acetic

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2NO(g) + Cl2(g) $$\rightleftharpoons $$ 2NOCl(s) This reaction was studied at $$-$$10$$^\circ$$ and the following data w

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For the reaction C2H6 $$ \to $$ C2H4 + H2the reaction enthalpy $$\Delta$$rH = __________ kJ mol$$-$$1. (Round off to the

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__________ grams of 3-Hydroxy propanal (MW = 74) must be dehydrated to produce 7.8 g of acrolein (MW = 56) (C3H4O) if th

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A reaction of 0.1 mole of Benzylamine with bromomethane gave 23 g of Benzyl trimethyl ammonium bromide. The number of mo

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The total number of unpaired electrons present in the complex K3[Cr(oxalate)3] is _____________.

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2 molal solution of a weak acid HA has a freezing point of 3.885$$^\circ$$C. The degree of dissociation of this acid is

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For the reaction 2Fe3+(aq) + 2I$$-$$(aq) $$ \to $$ 2Fe2+(aq) + I2(s) the magnitude of the standard molar Gibbs free ener

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Complete combustion of 3g of ethane gives x $$\times$$ 1022 molecules of water. The value of x is __________. (Round off

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## Mathematics

The differential equation satisfied by the system of parabolas y2 = 4a(x + a) is :

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The number of integral values of m so that the abscissa of point of intersection of lines 3x + 4y = 9 and y = mx + 1 is

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Let (1 + x + 2x2)20 = a0 + a1x + a2x2 + .... + a40x40. Then a1 + a3 + a5 + ..... + a37 is equal to

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The solutions of the equation $$\left| {\matrix{
{1 + {{\sin }^2}x} & {{{\sin }^2}x} & {{{\sin }^2}x} \cr

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Choose the correct statement about two circles whose equations are given below :x2 + y2 $$-$$ 10x $$-$$ 10y + 41 = 0x2 +

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Let $$\alpha$$, $$\beta$$, $$\gamma$$ be the real roots of the equation, x3 + ax2 + bx + c = 0, (a, b, c $$\in$$ R and a

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The integral $$\int {{{(2x - 1)\cos \sqrt {{{(2x - 1)}^2} + 5} } \over {\sqrt {4{x^2} - 4x + 6} }}} dx$$ is equal to (wh

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The equation of one of the straight lines which passes through the point (1, 3) and makes an angles $${\tan ^{ - 1}}\lef

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If $$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^{ - 1}}x - {{\tan }^{ - 1}}x} \over {3{x^3}}}$$ is equal to L, then the

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A vector $$\overrightarrow a $$ has components 3p and 1 with respect to a rectangular cartesian system. This system is r

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If the equation $$a|z{|^2} + \overline {\overline \alpha z + \alpha \overline z } + d = 0$$ represents a circle where

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For the four circles M, N, O and P, following four equations are given :Circle M : x2 + y2 = 1Circle N : x2 + y2 $$-$$ 2

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If $$\alpha$$, $$\beta$$ are natural numbers such that 100$$\alpha$$ $$-$$ 199$$\beta$$ = (100)(100) + (99)(101) + (98)(

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The real valued function $$f(x) = {{\cos e{c^{ - 1}}x} \over {\sqrt {x - [x]} }}$$, where [x] denotes the greatest integ

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$${1 \over {{3^2} - 1}} + {1 \over {{5^2} - 1}} + {1 \over {{7^2} - 1}} + .... + {1 \over {{{(201)}^2} - 1}}$$ is equal

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If the functions are defined as $$f(x) = \sqrt x $$ and $$g(x) = \sqrt {1 - x} $$, then what is the common domain of the

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If $$f(x) = \left\{ {\matrix{
{{1 \over {|x|}}} & {;\,|x|\, \ge 1} \cr
{a{x^2} + b} & {;\,|x|\, < 1}

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Let $$A + 2B = \left[ {\matrix{
1 & 2 & 0 \cr
6 & { - 3} & 3 \cr
{ - 5} & 3 & 1 \c

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The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is :

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The value of $$3 + {1 \over {4 + {1 \over {3 + {1 \over {4 + {1 \over {3 + ....\infty }}}}}}}}$$ is equal to

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The number of times the digit 3 will be written when listing the integers from 1 to 1000 is :

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Let the plane ax + by + cz + d = 0 bisect the line joining the points (4, $$-$$3, 1) and (2, 3, $$-$$5) at the right ang

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Let f(x) and g(x) be two functions satisfying f(x2) + g(4 $$-$$ x) = 4x3 and g(4 $$-$$ x) + g(x) = 0, then the value of

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The missing value in the following figure is

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Let z1, z2 be the roots of the equation z2 + az + 12 = 0 and z1, z2 form an equilateral triangle with origin. Then, the

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The equation of the planes parallel to the plane x $$-$$ 2y + 2z $$-$$ 3 = 0 which are at unit distance from the point (

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The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appoi

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If $$f(x) = \int {{{5{x^8} + 7{x^6}} \over {{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \ge 0),f(0) = 0} $$ and $$f(1) = {1 \over

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A square ABCD has all its vertices on the curve x2y2 = 1. The midpoints of its sides also lie on the same curve. Then, t

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The number of solutions of the equation $$|\cot x| = \cot x + {1 \over {\sin x}}$$ in the interval [ 0, 2$$\pi$$ ] is

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## Physics

An oil drop of radius 2 mm with a density 3g cm$$-$$3 is held stationary under a constant electric field 3.55 $$\times$$

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Match List - I with List - II.List - I(a) 10 km height over earth's surface(b) 70 km height over earth's surface(c) 180

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Imagine that the electron in a hydrogen atom is replaced by a muon ($$\mu$$). The mass of muon particle is 207 times tha

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A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x-direction. At a particular point i

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A thin circular ring of mass M and radius r is rotating about its axis with an angular speed $$\omega$$. Two particles h

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Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at

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The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an ad

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In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and the screen is placed at a distance of 0.

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A particle is travelling 4 time as fast as an electron. Assuming the ratio of de-Broglie wavelength of a particle to tha

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The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by :

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In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0

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In a series LCR resonance circuit, if we change the resistance only, from a lower to higher value :

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An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by the current to change from its maximum to

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Your friend is having eye sight problem. She is not able to see clearly a distant uniform window mesh and it appears to

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A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect

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The time period of a satellite in a circular orbit of radius R is T. The period of another satellite in a circular orbit

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A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displace

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The circuit shown in the figure consists of a charged capacitor of capacity 3 $$\mu$$F and a charge of $$\mu$$C. At time

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The voltage across the 10$$\Omega$$ resistor in the given circuit is x volt.The value of 'x' to the nearest integer is _

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Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when they are subjected to a force of 2 N. Assum

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A person is swimming with a speed of 10 m/s at an angle of 120$$^\circ$$ with the flow and reaches to a point directly o

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A parallel plate capacitor has plate area 100 m2 and plate separation of 10 m. The space between the plates is filled up

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

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As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its

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An npn transistor operates as a common emitter amplifier with a power gain of 106. The input circuit resistance is 100$$

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A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm i

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The time period of a simple pendulum is given by $$T = 2\pi \sqrt {{l \over g}} $$. The measured value of the length of

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A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The

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What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temper

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A radioactive sample disintegrates via two independent decay processes having half lives $$T_{1/2}^{(1)}$$ and $$T_{1/2}

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