JEE Main 2021 (Online) 26th February Evening Shift
Paper was held on Fri, Feb 26, 2021 9:30 AM
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Chemistry

Match List - I with List - II. List - I (Molecule) List - II (Bond order) (a) $$N{
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Ceric ammonium nitrate and CHCl3/alc. KOH are used for the identification of functional groups present in __________ and
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In $$\mathop C\limits^1 {H_2} = \mathop C\limits^2 = \mathop C\limits^3 H - \mathop C\limits^4 {H_3}$$ molecule, the hy
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A. Phenyl methanamineB. N,N-DimethylanilineC. N-Methyl anilineD. BenzenamineChoose the correct order of basic nature of
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Match List - I with List - II. List - I List - II (a) Sodium Carbonate (i)
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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : In T
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Which of the following forms of hydrogen emits low energy $$\beta$$- particles?
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Which pair of oxides is acidic in nature?
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Identify A in the given reaction.
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Match List - I with List - II.Choose the correct answer from the options given below :
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Identify A in the following chemical reaction.
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2, 4-DNP test can be used to identify :
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Considering the above reaction, the major product among the following is :
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Identify A in the given chemical reaction.
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Match List - I with List - II. List - I List - II (a) Siderite (i) Cu
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The correct order of electron gain enthalpy is :
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The nature of charge on resulting colloidal particles when FeCl3 is added to excess of hot water is :
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Match List - I with List - II. List - I List - II (a) Sucrose (i) $$\beta
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Calgon is used for water treatment. Which of the following statement is NOT true about Calgon?
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Seliwanoff test and Xanthoproteic test are used for the identification of ___________ and ________ respectively.
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When 12.2 g of benzoic acid is dissolved in 100 g of water, the freezing point of solution was found to be $$-$$0.93$$^\
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If the activation energy of a reaction is 80.9 kJ mol$$-$$1, the fraction of molecules at 700 K, having enough energy to
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The number of octahedral voids per lattice site in a lattice is _________. (Rounded off to the nearest integer)
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In mildly alkaline medium, thiosulphate ion is oxidized by $$MnO_4^ - $$ to "A". The oxidation state of sulphur in "A" i
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The average S-F bond energy in kJ mol$$-$$1 of SF6 is _____________. (Rounded off to the nearest integer)[Given : The va
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Emf of the following cell at 298K in V is x $$\times$$ 10$$-$$2.Zn|Zn2+(0.1 M)||Ag+ (0.01 M)|AgThe value of x is _______
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The pH of ammonium phosphate solution, if pka of phosphoric acid and pkb of ammonium hydroxide are 5.23 and 4.75 respect
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The number of stereoisomers possible for [Co(ox)2(Br)(NH3)]2$$-$$ is ___________. [ox = oxalate]
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A ball weighing 10 g is moving with a velocity of 90 ms$$-$$1. If the uncertainty in its velocity is 5%, then the uncert
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The NaNO3 weighed out to make 50 mL of an aqueous solution containing 70.0 mg Na+ per mL is _________ g. (Rounded off to
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Mathematics

Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4. Then $$\mathop {\lim }\limits_{x \to a} {{xf
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Let A(1, 4) and B(1, $$-$$5) be two points. Let P be a point on the circle (x $$-$$ 1)2 + (y $$-$$ 1)2 = 1 such that (PA
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Let F1(A, B, C) = (A $$ \wedge $$ $$ \sim $$ B) $$ \vee $$ [$$\sim$$C $$\wedge$$ (A $$\vee$$ B)] $$\vee$$ $$\sim$$ A and
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Consider the following system of equations :x + 2y $$-$$ 3z = a2x + 6y $$-$$ 11z = bx $$-$$ 2y + 7z = c,where a, b and c
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A natural number has prime factorization given by n = 2x3y5z, where y and z are such that y + z = 5 and y$$-$$1 + z$$-$$
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If 0 < a, b < 1, and tan$$-$$1a + tan$$-$$1b = $${\pi \over 4}$$, then the value of $$(a + b) - \left( {{{{a^2} +
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Let $$f(x) = \int\limits_0^x {{e^t}f(t)dt + {e^x}} $$ be a differentiable function for all x$$\in$$R. Then f(x) equals :
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For x > 0, if $$f(x) = \int\limits_1^x {{{{{\log }_e}t} \over {(1 + t)}}dt} $$, then $$f(e) + f\left( {{1 \over e}} \
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If the mirror image of the point (1, 3, 5) with respect to the plane 4x $$-$$ 5y + 2z = 8 is ($$\alpha$$, $$\beta$$, $$\
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Let $$A = \{ 1,2,3,....,10\} $$ and $$f:A \to A$$ be defined as$$f(k) = \left\{ {\matrix{ {k + 1} & {if\,k\,is\,o
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Let A1 be the area of the region bounded by the curves y = sinx, y = cosx and y-axis in the first quadrant. Also, let A2
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Let $$f(x) = {\sin ^{ - 1}}x$$ and $$g(x) = {{{x^2} - x - 2} \over {2{x^2} - x - 6}}$$. If $$g(2) = \mathop {\lim }\limi
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Let slope of the tangent line to a curve at any point P(x, y) be given by $${{x{y^2} + y} \over x}$$. If the curve inter
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Let f : R $$ \to $$ R be defined as $$f(x) = \left\{ \matrix{ 2\sin \left( { - {{\pi x} \over 2}} \right),if\,x <
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The triangle of maximum area that can be inscribed in a given circle of radius 'r' is :
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If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x2 + y2 = 1 is a circl
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The sum of the series $$\sum\limits_{n = 1}^\infty {{{{n^2} + 6n + 10} \over {(2n + 1)!}}} $$ is equal to :
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If vectors $$\overrightarrow {{a_1}} = x\widehat i - \widehat j + \widehat k$$ and $$\overrightarrow {{a_2}} = \wideha
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A seven digit number is formed using digits 3, 3, 4, 4, 4, 5, 5. The probability, that number so formed is divisible by
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Let L be a line obtained from the intersection of two planes x + 2y + z = 6 and y + 2z = 4. If point P($$\alpha$$, $$\be
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The total number of 4-digit numbers whose greatest common divisor with 18 is 3, is _________.
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If the matrix $$A = \left[ {\matrix{ 1 & 0 & 0 \cr 0 & 2 & 0 \cr 3 & 0 & { - 1} \c
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Let $$\alpha$$ and $$\beta$$ be two real numbers such that $$\alpha$$ + $$\beta$$ = 1 and $$\alpha$$$$\beta$$ = $$-$$1.
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Let z be those complex numbers which satisfy| z + 5 | $$ \le $$ 4 and z(1 + i) + $$\overline z $$(1 $$-$$ i) $$ \ge $$ $
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Let the normals at all the points on a given curve pass through a fixed point (a, b). If the curve passes through (3, $$
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If the arithmetic mean and geometric mean of the pth and qth terms of the sequence $$-$$16, 8, $$-$$4, 2, ...... satisfy
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If $${I_{m,n}} = \int\limits_0^1 {{x^{m - 1}}{{(1 - x)}^{n - 1}}dx} $$, for m, $$n \ge 1$$, and $$\int\limits_0^1 {{{{x^
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Let X1, X2, ......., X18 be eighteen observations such that $$\sum\limits_{i = 1}^{18} {({X_i} - } \alpha ) = 36$$ and $
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Let a be an integer such that all the real roots of the polynomial 2x5 + 5x4 + 10x3 + 10x2 + 10x + 10 lie in the interva
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Let L be a common tangent line to the curves 4x2 + 9y2 = 36 and (2x)2 + (2y)2 = 31. Then the square of the slope of the
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Physics

Draw the output signal Y in the given combination of gates.
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An aeroplane, with its wings spread 10 m, is flying at a speed of 180 km/h in a horizontal direction. The total intensit
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Find the peak current and resonant frequency of the following circuit (as shown in figure).
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A scooter accelerates from rest for time t1 at constant rate a1 and then retards at constant rate a2 for time t2 and com
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A radioactive sample is undergoing $$\alpha$$ decay. At any time t1, its activity is A and another time t2, the activity
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Given below are two statements: Statement I : An electric dipole is placed at the center of a hollow sphere. The flux of
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If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of $$\lambda$$ where C/V = $$\la
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The recoil speed of a hydrogen atom after it emits a photon in going from n = 5 state to n = 1 state will be :
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A wire of 1$$\Omega$$ has a length of 1 m. It is stretched till its length increases by 25%. The percentage change in re
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The incident ray, reflected ray and the outward drawn normal are denoted by the unit vectors $$\overrightarrow a $$, $$\
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The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U $$=$$ 3PV + 4. The gas is :
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The length of metallic wire is l1 when tension in it is T1. It is l2 when the tension is T2. The original length of the
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The trajectory of a projectile in a vertical plane is y = $$\alpha$$x $$-$$ $$\beta$$x2, where $$\alpha$$ and $$\beta$$
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Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.Assertion A : For a
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An inclined plane making an angle of 30$$^\circ$$ with the horizontal is placed in a uniform horizontal electric field $
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Two masses A and B, each of mass M are fixed together by a massless spring. A force acts on the mass B as shown in the f
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A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and the moment of iner
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A particle executes S.H.M., the graph of velocity as a function of displacement is :
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A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the
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Given below are two statements :Statement I : A second's pendulum has a time period of 1 second.Statement II : It takes
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1 mole of rigid diatomic gas performs a work of $${Q \over 5}$$ when heat Q is supplied to it. The molar heat capacity o
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A particle executes S.H.M. with amplitude 'a', and time period 'T'. The displacement of the particle when its speed is h
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Time period of a simple pendulum is T. The time taken to complete $${5 \over 8}$$ oscillations starting from mean positi
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The zener diode has a Vz = 30V. The current passing through the diode for the following circuit is ________ mA.
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The volume V of a given mass of monoatomic gas changes with temperature T according to the relation $$V = K{T^{{2 \over
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27 similar drops of mercury are maintained at 10V each. All these spherical drops combine into a single big drop. The po
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A point source of light S, placed at a distance 60cm in front of the centre of a plane mirror of width 50 cm, hangs ver
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In the reported figure of earth, the value of acceleration due to gravity is same at point A and C but it is smaller tha
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Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the m
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If the highest frequency modulating a carrier is 5 kHz, then the number of AM broadcast stations accommodated in a 90 kH
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