JEE Main 2021 (Online) 27th July Evening Shift

Paper was held on
Tue, Jul 27, 2021 9:30 AM

## Chemistry

Which one of the following set of elements can be detected using sodium fusion extract?

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Consider the above reaction, the major product "P" formed is :

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The number of neutrons and electrons, respectively, present in the radioactive isotope of hydrogen is :

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Match List - I with List - II :
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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 : SO2

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The correct order of first ionisation enthalpy is :

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Given below are two statements :Statement I : Hyperconjugation is a permanent effect.Statement II : Hyperconjugation in

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Given below are two statements :Statement I : $${[Mn{(CN)_6}]^{3 - }}$$, $${[Fe{(CN)_6}]^{3 - }}$$ and $${[Co{({C_2}{O_4

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To an aqueous solution containing ions such as Al3+, Zn2+, Ca2+, Fe3+, Ni2+, Ba2+ and Cu2+ was added conc. HCl, followed

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Given below are two statements :Statement I : Penicillin is a bacteriostatic type antibiotic.Statement II : The general

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Compound A gives D-Galactose and D-Glucose on hydrolysis. The compound A is :

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$$R - CN\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{(ii){H_2}O}^{(i)DIBAL - H}} R - Y$$Consider the above reactio

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Consider the above reaction, and choose the correct statement :

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Match List - I with List - II :
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If the Thompson model of the atom was correct, then the result of Rutherford's gold foil experiment would have been :

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Number of Cl = O bonds in chlorous acid, chloric acid and perchloric acid respectively are :

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Select the correct statements(A) Crystalline solids have long range order.(B) Crystalline solids are isotropic(C) Amorph

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What is A in the following reaction?

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The correct sequence of correct reagents for the following transformation is :

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The addition of silica during the extraction of copper from its sulphide ore :-

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The equilibrium constant for the reactionA(s) $$\rightleftharpoons$$ M(s) + $${1 \over 2}$$O2(g)is Kp = 4. At equilibriu

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When 400 mL of 0.2 M H2SO4 solution is mixed with 600 mL of 0.1 M NaOH solution, the increase in temperature of the fina

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2SO2(g) + O2(g) $$\to$$ 2SO3(g)The above reaction is carried out in a vessel starting with partial pressure PSO2 = 250 m

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10.0 mL of 0.05 M KMnO4 solution was consumed in a titration with 10.0 mL of given oxalic acid dihydrate solution. The s

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The total number of electrons in all bonding molecular orbitals of $$O_2^{2 - }$$ is ______________.(Round off to the ne

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3 moles of metal complex with formula Co(en)2Cl3 gives 3 moles of silver chloride on treatment with excess of silver nit

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In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is __________ $$\ti

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The dihedral angle in staggered form of Newman projection of 1, 1, 1-Trichloro ethane is ___________ degree. (Round off

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For the first order reaction A $$\to$$ 2B, 1 mole of reactant A gives 0.2 moles of B after 100 minutes. The half life of

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For the cellCu(s) | Cu2+ (aq) (0.1 M) || Ag+(aq) (0.01 M) | Ag(s)the cell potential E1 = 0.3095 VFor the cellCu(s) | Cu2

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## Mathematics

The point P (a, b) undergoes the following three transformations successively :(a) reflection about the line y = x.(b) t

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A possible value of 'x', for which the ninth term in the expansion of $${\left\{ {{3^{{{\log }_3}\sqrt {{{25}^{x - 1}} +

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For real numbers $$\alpha$$ and $$\beta$$ $$\ne$$ 0, if the point of intersection of the straight lines$${{x - \alpha }

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Let f : R $$\to$$ R be defined as $$f(x + y) + f(x - y) = 2f(x)f(y),f\left( {{1 \over 2}} \right) = - 1$$. Then, the va

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Let C be the set of all complex numbers. LetS1 = {z$$\in$$C : |z $$-$$ 2| $$\le$$ 1} and S2 = {z$$\in$$C : z(1 + i) + $$

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A student appeared in an examination consisting of 8 true-false type questions. The student guesses the answers with equ

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If $$\tan \left( {{\pi \over 9}} \right),x,\tan \left( {{{7\pi } \over {18}}} \right)$$ are in arithmetic progression a

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Let the mean and variance of the frequency distribution$$\matrix{
{x:} & {{x_1} = 2} & {{x_2} = 6} & {{x_

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The area of the region bounded by y $$-$$ x = 2 and x2 = y is equal to :

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Let y = y(x) be the solution of the differential equation (x $$-$$ x3)dy = (y + yx2 $$-$$ 3x4)dx, x > 2. If y(3) = 3,

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The value of $$\mathop {\lim }\limits_{x \to 0} \left( {{x \over {\root 8 \of {1 - \sin x} - \root 8 \of {1 + \sin x} }

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Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of

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Let $$\alpha = \mathop {\max }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\} $$ and $$\beta = \mathop {\min }\li

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Let $$f:[0,\infty ) \to [0,3]$$ be a function defined by $$f(x) = \left\{ {\matrix{
{\max \{ \sin t:0 \le t \le x\} ,

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Let N be the set of natural numbers and a relation R on N be defined by $$R = \{ (x,y) \in N \times N:{x^3} - 3{x^2}y -

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Which of the following is the negation of the statement "for all M > 0, there exists x$$\in$$S such that x $$\ge$$ M"

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Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept $$6\sqrt 5 $$ on the x-axis. Then the r

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Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three vectors such that $$\overrightarr

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Let A and B be two 3 $$\times$$ 3 real matrices such that (A2 $$-$$ B2) is invertible matrix. If A5 = B5 and A3B2 = A2B3

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Let f : (a, b) $$\to$$ R be twice differentiable function such that $$f(x) = \int_a^x {g(t)dt} $$ for a differentiable f

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Let $$\overrightarrow a = \widehat i - \alpha \widehat j + \beta \widehat k$$, $$\overrightarrow b = 3\wid

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The distance of the point P(3, 4, 4) from the point of intersection of the line joining the points. Q(3, $$-$$4, $$-$$5)

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If the real part of the complex number $$z = {{3 + 2i\cos \theta } \over {1 - 3i\cos \theta }},\theta \in \left( {0,{\p

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Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at (3, $$-$$4), one focus at (4,

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If $$\int_0^\pi {({{\sin }^3}x){e^{ - {{\sin }^2}x}}dx = \alpha - {\beta \over e}\int_0^1 {\sqrt t {e^t}dt} } $$, the

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The number of real roots of the equation e4x $$-$$ e3x $$-$$ 4e2x $$-$$ ex + 1 = 0 is equal to ______________.

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Let y = y(x) be the solution of the differential equation dy = e$$\alpha$$x + y dx; $$\alpha$$ $$\in$$ N. If y(loge2) =

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Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10 . (11)11 . (13)13

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Let A = {n $$\in$$ N | n2 $$\le$$ n + 10,000}, B = {3k + 1 | k$$\in$$ N} an dC = {2k | k$$\in$$N}, then the sum of all t

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If $$A = \left[ {\matrix{
1 & 1 & 1 \cr
0 & 1 & 1 \cr
0 & 0 & 1 \cr
} } \right]

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## Physics

An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV. T

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The expected graphical representation of the variation of angle of deviation '$$\delta$$' with angle of incidence 'i' in

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A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m above the ground. Assume that the drop is sp

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One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27$$^\circ$$ C to 37$$^\

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An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0.2 s. What wi

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Match List I with List II.
List - I
List - II
(a)
Capacitance, C
(i)
$${M^

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Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional moti

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A 100$$\Omega$$ resistance, a 0.1 $$\mu$$F capacitor and an inductor are connected in series across a 250 V supply at va

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A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the electric field produced by two conducting pa

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Two Carnot engines A and B operate in series such that engine A absorbs heat at T1 and rejects heat to a sink at tempera

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Find the truth table for the function Y of A and B represented in the following figure.

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Figure A and B shown to long straight wires of circular cross-section (a and b with a < b), carrying current I which

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Two identical particles of mass 1 kg each go round a circle of radius R, under the action of their mutual gravitational

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Consider the following statements :A. Atoms of each element emit characteristics spectrum.B. According to Bohr's Postula

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What will be the magnitude of electric field at point O as shown in the figure? Each side of the figure is l and perpend

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A physical quantity 'y' is represented by the formula $$y = {m^2}{r^{ - 4}}{g^x}{l^{ - {3 \over 2}}}$$If the percentage

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An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant pow

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The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes and an orbital radius of 9.0 $$\times$$ 1

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A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with ti

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The resistance of a conductor at 15$$^\circ$$C is 16$$\Omega$$ and at 100$$^\circ$$C is 20$$\Omega$$. What will be the t

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In the given figure, two wheels P and Q are connected by a belt B. The radius of P is three times as that of Q. In case

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The difference in the number of waves when yellow light propagates through air and vacuum columns of the same thickness

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The maximum amplitude for an amplitude modulated wave is found to be 12V while the minimum amplitude is found to be 3V.

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In the given figure the magnetic flux through the loop increases according to the relation $$\phi$$B(t) = 10t2 + 20t, wh

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A particle executes simple harmonic motion represented by displacement function as x(t) = A sin($$\omega$$t + $$\phi$$)I

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A swimmer wants to cross a river from point A to point B. Line AB makes an angle of 30$$^\circ$$ with the flow of river.

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For the circuit shown, the value of current at time t = 3.2 s will be _________ A.[Voltage distribution V(t) is shown by

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A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which t

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The K$$\alpha$$ X-ray of molybdenum has wavelength 0.071 nm. If the energy of a molybdenum atoms with a K electron knock

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The water is filled upto height of 12 m in a tank having vertical sidewalls. A hole is made in one of the walls at a dep

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