JEE Main 2021 (Online) 26th August Morning Shift

Paper was held on
Thu, Aug 26, 2021 3:30 AM

## Chemistry

Which one of the following complexes is violet in colour?

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Which one of the following is correct for the adsorption of a gas at a given temperature on a solid surface?

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Which one of the following when dissolved in water gives coloured solution in nitrogen atmosphere?

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The major products formed in the following reaction sequence A and B are :

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The major product formed in the following reaction is :

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The major product formed in the following reaction is :

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The polymer formed on heating Novolac with formaldehyde is :

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Given below are two statements :Statement I : The limiting molar conductivity of KCl (strong electrolyte) is higher comp

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The correct options for the products A and B of the following reactions are :

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The conversion of hydroxyapatite occurs due to presence of F$$-$$ ions in water. The correct formula of hydroxyapatite i

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Given below are two statements.Statement I : In the titration between strong acid and weak base methyl orange is suitabl

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Among the following compounds I-IV, which one forms a yellow precipitate on reacting sequentially with (i) NaOH (ii) dil

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Which one of the following methods is most suitable for preparing deionized water?

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Given below are two statements :Statement I : The choice of reducing agents for metals extraction can be made by using E

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What are the products formed in sequence when excess of CO2 is passed in slaked lime?

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Given below are two statements.Statement I : According to Bohr's model of an atom, qualitatively the magnitude of veloci

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The correct sequential addition of reagents in the preparation of 3-nitrobenzoic acid from benzene is :

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Given below are two statements.Statement I : Frenkel defects are vacancy as well as interstitial defects.Statement II :

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The incorrect statement is :

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Excess of isobutane on reaction with Br2 in presence of light at 125$$^\circ$$C gives which one of the following, as the

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AB3 is an interhalogen T-shaped molecule. The number of lone pairs of electrons on A is __________. (Integer answer)

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These are physical properties of an element(A) Sublimation enthalpy(B) Ionisation enthalpy(C) Hydration enthalpy(D) Elec

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Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of 0.10

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The OH$$-$$ concentration in a mixture of 5.0 mL of 0.0504 M NH4Cl and 2 mL of 0.0210 M NH3 solution is x $$\times$$ 10$

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The number of 4f electrons in the ground statement electronic configuration of Gd2+ is ___________. [Atomic number of Gd

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The ratio of number of water molecules in Mohr's salt and potash alum is ____________ $$\times$$ 10$$-$$1. (Integer answ

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The following data was obtained for chemical reaction given below at 975 K.2NO(g) + 2H2(g) $$\to$$ N2(g) + 2H2O(g)The or

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The Born-Haber cycle for KCl is evaluated with the following data :$${\Delta _f}{H^\Theta }$$ for KCl = $$-$$436.7 kJ mo

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The total number of negative charge in the tetrapeptide, Gly-Glu-Asp-Tyr, at pH 12.5 will be ______________. (Integer an

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An aqueous KCl solution of density 1.20 g mL$$-$$1 has a molality of 3.30 mol kg$$-$$1. The molarity of the solution in

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## Mathematics

The sum of solutions of the equation $${{\cos x} \over {1 + \sin x}} = \left| {\tan 2x} \right|$$, $$x \in \left( { - {\

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The mean and standard deviation of 20 observations were calculated as 10 and 2.5 respectively. It was found that by mist

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On the ellipse $${{{x^2}} \over 8} + {{{y^2}} \over 4} = 1$$ let P be a point in the second quadrant such that the tange

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Let y = y(x) be a solution curve of the differential equation $$(y + 1){\tan ^2}x\,dx + \tan x\,dy + y\,dx = 0$$, $$x \i

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Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest value of p, for which P (exactly one of A,

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Let $$\theta \in \left( {0,{\pi \over 2}} \right)$$. If the system of linear equations$$(1 + {\cos ^2}\theta )x + {\si

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Let $$f(x) = \cos \left( {2{{\tan }^{ - 1}}\sin \left( {{{\cot }^{ - 1}}\sqrt {{{1 - x} \over x}} } \right)} \right)$$,

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The sum of the series $${1 \over {x + 1}} + {2 \over {{x^2} + 1}} + {{{2^2}} \over {{x^4} + 1}} + ...... + {{{2^{100}}}

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If $${{}^{20}{C_r}}$$ is the co-efficient of xr in the expansion of (1 + x)20, then the value of $$\sum\limits_{r = 0}^{

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Out of all the patients in a hospital 89% are found to be suffering from heart ailment and 98% are suffering from lungs

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The equation $$\arg \left( {{{z - 1} \over {z + 1}}} \right) = {\pi \over 4}$$ represents a circle with :

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Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k$$ and $$\overrightarrow b = \widehat j - \widehat k$$.

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If a line along a chord of the circle 4x2 + 4y2 + 120x + 675 = 0, passes through the point ($$-$$30, 0) and is tangent t

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The value of $$\int\limits_{{{ - 1} \over {\sqrt 2 }}}^{{1 \over {\sqrt 2 }}} {{{\left( {{{\left( {{{x + 1} \over {x - 1

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A plane P contains the line $$x + 2y + 3z + 1 = 0 = x - y - z - 6$$, and is perpendicular to the plane $$ - 2x + y + z

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If $$A = \left( {\matrix{
{{1 \over {\sqrt 5 }}} & {{2 \over {\sqrt 5 }}} \cr
{{{ - 2} \over {\sqrt 5 }}} &a

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If the sum of an infinite GP a, ar, ar2, ar3, ....... is 15 and the sum of the squares of its each term is 150, then the

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The value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{r = 0}^{2n - 1} {{{{n^2}} \over {{n^2} + 4

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Let ABC be a triangle with A($$-$$3, 1) and $$\angle$$ACB = $$\theta$$, 0 < $$\theta$$ < $${\pi \over 2}$$. If th

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If the truth value of the Boolean expression $$\left( {\left( {p \vee q} \right) \wedge \left( {q \to r} \right) \wedge

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Let $$z = {{1 - i\sqrt 3 } \over 2}$$, $$i = \sqrt { - 1} $$. Then the value of $$21 + {\left( {z + {1 \over z}} \right)

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The sum of all integral values of k (k $$\ne$$ 0) for which the equation $${2 \over {x - 1}} - {1 \over {x - 2}} = {2 \o

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Let the line L be the projection of the line $${{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 4} \over 2}$$ in the plane

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If $${}^1{P_1} + 2.{}^2{P_2} + 3.{}^3{P_3} + .... + 15.{}^{15}{P_{15}} = {}^q{P_r} - s,0 \le s \le 1$$, then $${}^{q + s

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A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a

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The area of the region $$S = \{ (x,y):3{x^2} \le 4y \le 6x + 24\} $$ is ____________.

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The locus of a point, which moves such that the sum of squares of its distances from the points (0, 0), (1, 0), (0, 1),

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If y = y(x) is an implicit function of x such that loge(x + y) = 4xy, then $${{{d^2}y} \over {d{x^2}}}$$ at x = 0 is equ

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The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed

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Let a, b $$\in$$ R, b $$\in$$ 0, Define a function $$f(x) = \left\{ {\matrix{
{a\sin {\pi \over 2}(x - 1),} & {f

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## Physics

The fractional change in the magnetic field intensity at a distance 'r' from centre on the axis of current carrying coil

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The magnitude of vectors $$\overrightarrow {OA} $$, $$\overrightarrow {OB} $$ and $$\overrightarrow {OC} $$ in the given

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Car B overtakes another car A at a relative speed of 40 ms$$-$$1. How fast will the image of car B appear to move in the

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Inside a uniform spherical shell :(1) the gravitational field is zero(2) the gravitational potential is zero(3) the grav

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Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-shaped tube open at both ends. If this U-

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An electric appliance supplies 6000 J/min heat to the system. If the system delivers a power of 90W. How long it would t

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An inductor coil stores 64 J of magnetic field energy and dissipates energy at the rate of 640 W when a current of 8A is

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A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistance R = 3 k$$\Omega$$, an inductor of ind

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Identify the logic operation carried out by the given circuit :-

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A particular hydrogen like ion emits radiation of frequency 2.92 $$\times$$ 1015 Hz when it makes transition from n = 3

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In a photoelectric experiment ultraviolet light of wavelength 280 nm is used with lithium cathode having work function $

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In the given figure, the emf of the cell is 2.2 V and if internal resistance is 0.6$$\Omega$$. Calculate the power dissi

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A solid metal sphere of radius R having charge q is enclosed inside the concentric spherical shell of inner radius a and

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The rms speeds of the molecules of Hydrogen, Oxygen and Carbon dioxide at the same temperature are VH, VO and VC respect

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In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed. The

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What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm diameter connected parallel to give an eq

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The initial mass of a rocket is 1000 kg. Calculate at what rate the fuel should be burnt so that the rocket is given an

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If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then

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The material filled between the plates of a parallel plate capacitor has resistivity 200 $$\Omega$$m. The value of capac

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Statement I : By doping silicon semiconductor with pentavalent material, the electrons density increases.Statement II :

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A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter lying on the table. If k is the ki

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The electric field in a plane electromagnetic wave is given by $$\overrightarrow E = 200\cos \left[ {\left( {{{0.5 \tim

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A source and a detector move away from each other in absence of wind with a speed of 20 m/s with respect to the ground.

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Two spherical balls having equal masses with radius of 5 cm each are thrown upwards along the same vertical direction at

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A soap bubble of radius 3 cm is formed inside the another soap bubble of radius 6 cm. The radius of an equivalent soap b

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An amplitude modulated wave is represented by Cm(t) = 10(1 + 0.2 cos 12560t) sin(111 $$\times$$ 104t) volts. The modulat

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Two short magnetic dipoles m1 and m2 each having magnetic moment of 1 Am2 are placed at point O and P respectively. The

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Two travelling waves produces a standing wave represented by equation,y = 1.0 mm cos(1.57 cm$$-$$1) x sin(78.5 s$$-$$1)t

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White light is passed through a double slit and interference is observed on a screen 1.5 m away. The separation between

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Consider a badminton racket with length scales as shown in the figure.If the mass of the linear and circular portions of

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