JEE Main 2021 (Online) 26th February Morning Shift

Paper was held on
Fri, Feb 26, 2021 3:30 AM

## Chemistry

For the given reactionWhat is 'A'?

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Which of the following is 'a' FALSE statement ?

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Find A, B and C in the following reactions :$$N{H_3} + A + C{O_2} \to {(N{H_4})_2}C{O_3}$$$${(N{H_4})_2}C{O_3} + {H_2}O

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Match List - I with List - II.
List I Electronic configuration
List II $${\Delta _i}H$$ in kJ $$mo

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Statements about heavy water are given below :A. Heavy water is used in exchange reactions for the study of reaction mec

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Given below are two statements :Statement I : A mixture of chloroform and aniline can be separated by simple distillatio

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The presence of ozone in troposphere :

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

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Which one of the following lanthanoids does not form MO2? [M is lanthanoid metal]

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Match List - I with List - II.
List - I (Ore)
List - II (Element Present)
(a)
Kern

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On treating a compound with warm dil. H2SO4, gas X is evolved which turns K2Cr2O7 paper acidified with dil. H2SO4 to a g

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For the given reaction :What is 'A'?

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Compound A used as a strong oxidizing agent is amphoteric in nature. It is the part of lead storage batteries. Compound

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Identify the major products A and B respectively in the following reactions of phenol :

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The structure of Neoprene is :

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An amine on reaction with benzensulphonyl chloride produces a compound insoluble in alkaline solution. This amine can be

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Given below are two statements : Statement I : o-Nitrophenol is steam volatile due to intramolecular hydrogen bonding.St

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B reacts with Hydroxyl amine but does not give Tollen's test. Identify A and B.

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Which of the following vitamin is helpful in delaying the blood clotting?

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The orbital having two radial as well as two angular nodes is :

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For a chemical reaction A + B ⇌ C + D($${\Delta _r}{H^\Theta }$$ = 80 kJ mol$$-$$1) the entropy change $${\Delta _r}{S^\

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An exothermic reaction X $$ \to $$ Y has an activation energy 30 kJ mol$$-$$1. If energy change $$\Delta$$E during the r

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3.12 g of oxygen is adsorbed on 1.2 g of platinum metal. The volume of oxygen adsorbed per gram of the adsorbent at 1 at

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The number of significant figures in 50000.020 $$\times$$ 10$$-$$3 is _____________.

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Dichromate ion is treated with base, the oxidation number of Cr in the product formed is ___________.

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Number of bridging CO ligands in [Mn2(CO)10] is __________.

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Consider the following reaction$$MnO_4^ - + 8{H^ + } + 5{e^ - } \to M{n^{ + 2}} + 4{H_2}O,{E^o} = 1.51V$$.The quantity

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224 mL of SO2(g) at 298 K and 1 atm is passed through 100 mL of 0.1 M NaOH solution. The non-volatile solute produced is

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A homogeneous ideal gaseous reaction $$A{B_{2(g)}} \rightleftharpoons {A_{(g)}} + 2{B_{(g)}}$$ is carried out in a 25 li

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A certain gas obeys P(Vm $$-$$ b) = RT. The value of $${\left( {{{\partial Z} \over {\partial P}}} \right)_T}$$ is $${{x

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## Mathematics

The maximum value of the term independent of 't' in the expansion of $${\left( {t{x^{{1 \over 5}}} + {{{{(1 - x)}^{{1 \o

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The value of $$\mathop {\lim }\limits_{h \to 0} 2\left\{ {{{\sqrt 3 \sin \left( {{\pi \over 6} + h} \right) - \cos \lef

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Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A2 is 1, then the po

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The sum of the infinite series $$1 + {2 \over 3} + {7 \over {{3^2}}} + {{12} \over {{3^3}}} + {{17} \over {{3^4}}} + {{2

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The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\cos }^2}x} \over {1 + {3^x}}}} dx$$ is :

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The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is

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Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, $$-

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The value of $$\sum\limits_{n = 1}^{100} {\int\limits_{n - 1}^n {{e^{x - [x]}}dx} } $$, where [ x ] is the greatest inte

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The intersection of three lines x $$-$$ y = 0, x + 2y = 3 and 2x + y = 6 is a :

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If $$\overrightarrow a $$ and $$\overrightarrow b $$ are perpendicular, then $$\overrightarrow a \times \left( {\overri

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A fair coin is tossed a fixed number of times. If the probability of getting 7 heads is equal to probability of getting

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In the circle given below, let OA = 1 unit, OB = 13 unit and PQ $$ \bot $$ OB. Then, the area of the triangle PQB (in sq

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The value of $$\left| {\matrix{
{(a + 1)(a + 2)} & {a + 2} & 1 \cr
{(a + 2)(a + 3)} & {a + 3} &

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If $${{{{\sin }^1}x} \over a} = {{{{\cos }^{ - 1}}x} \over b} = {{{{\tan }^{ - 1}}y} \over c}$$; $$0 < x < 1$$, th

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The maximum slope of the curve $$y = {1 \over 2}{x^4} - 5{x^3} + 18{x^2} - 19x$$ occurs at the point :

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The rate of growth of bacteria in a culture is proportional to the number of bacteria present and the bacteria count is

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Consider the three planesP1 : 3x + 15y + 21z = 9,P2 : x $$-$$ 3y $$-$$ z = 5, and P3 : 2x + 10y + 14z = 5Then, which one

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If (1, 5, 35), (7, 5, 5), (1, $$\lambda$$, 7) and (2$$\lambda$$, 1, 2) are coplanar, then the sum of all possible values

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In an increasing geometric series, the sum of the second and the sixth term is $${{25} \over 2}$$ and the product of the

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Let ($$\lambda$$, 2, 1) be a point on the plane which passes through the point (4, $$-$$2, 2). If the plane is perpendic

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If $$\sqrt 3 ({\cos ^2}x) = (\sqrt 3 - 1)\cos x + 1$$, the number of solutions of the given equation when $$x \in \left

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The value of the integral $$\int\limits_0^\pi {|{{\sin }\,}2x|dx} $$ is ___________.

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The number of solutions of the equation log4(x $$-$$ 1) = log2(x $$-$$ 3) is _________.

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The sum of 162th power of the roots of the equation x3 $$-$$ 2x2 + 2x $$-$$ 1 = 0 is ________.

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The area bounded by the lines y = || x $$-$$ 1 | $$-$$ 2 | is ___________.

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Let m, n$$\in$$N and gcd (2, n) = 1. If $$30\left( {\matrix{
{30} \cr
0 \cr
} } \right) + 29\left( {\matrix{

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The difference between degree and order of a differential equation that represents the family of curves given by $${y^2}

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If y = y(x) is the solution of the equation $${e^{\sin y}}\cos y{{dy} \over {dx}} + {e^{\sin y}}\cos x = \cos x$$, y(0)

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The number of integral values of 'k' for which the equation $$3\sin x + 4\cos x = k + 1$$ has a solution, k$$\in$$R is _

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Let f be any function defined on R and let it satisfy the condition : $$|f(x) - f(y)|\, \le \,|{(x - y)^2}|,\forall (x,y

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## Physics

Consider the combination of 2 capacitors C1 and C2 with C2 > C1, when connected in parallel, the equivalent capacitan

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An alternating current is given by the equation i = i1 sin $$\omega$$t + i2 cos $$\omega$$t. The rms current will be :

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Four identical solid spheres each of mass 'm' and radius 'a' are placed with their centres on the four corners of a squa

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A large number of water drops, each of radius r, combine to have a drop of radius R. If the surface tension is T and mec

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LED is constructed from Ga-As-P semiconducting material. The energy gap of this LED is 1.9 eV. Calculate the wavelength

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A short straight object of height 100 cm lies before the central axis of a spherical mirror whose focal length has absol

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In a Young's double slit experiment two slits are separated by 2 mm and the screen is placed one meter away. When a ligh

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Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R/2) from the earth's centre, where

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In a typical combustion engine the workdone by a gas molecule is given by $$W = {\alpha ^2}\beta {e^{{{ - \beta {x^2}} \

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If two similar springs each of spring constant K1 are joined in series, the new spring constant and time period would be

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A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fi

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The temperature $$\theta$$ at the junction of two insulating sheets, having thermal resistances R1 and R2 as well as top

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Find the electric field at point P (as shown in figure) on the perpendicular bisector of a uniformly charged thin wire o

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A planet revolving in elliptical orbit has :A. a constant velocity of revolution.B. has the least velocity when it is ne

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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 : An el

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

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The normal density of a material is $$\rho$$ and its bulk modulus of elasticity is K. The magnitude of increase in densi

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If $$\lambda$$1 and $$\lambda$$2 are the wavelengths of the third member of Lyman and first member of the Paschen series

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Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of the r

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Five equal resistances are connected in a network as shown in figure. The net resistance between the points A and B is :

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A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if the lift des

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The circuit contains two diodes each with a forward resistance of 50$$\Omega$$ and with infinite reverse resistance. If

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In a series LCR resonant circuit, the quality factor is measured as 100. If the inductance is increased by two fold and

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The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y = $$-$$ 0.21 sin (x + 30t) is

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The maximum and minimum amplitude of an amplitude modulated wave is 16V and 8V respectively. The modulation index for th

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In an electrical circuit, a battery is connected to pass 20C of charge through it in a certain given time. The potential

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A boy pushes a box of mass 2 kg with a force $$\overrightarrow F = \left( {20\widehat i + 10\widehat j} \right)N$$ on a

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A radiation is emitted by 1000W bulb and it generates an electric field and magnetic field at P, placed at a distance of

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A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is

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As shown in the figure, a block of mass $$\sqrt 3 $$ kg is kept on a horizontal rough surface of coefficient of friction

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