JEE Main 2021 (Online) 1st September Evening Shift
Paper was held on Wed, Sep 1, 2021 9:30 AM
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Chemistry

Experimentally reducing a functional group cannot be done by which one of the following reagents?
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Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endoth
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Identify A in the following reaction.
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In the following sequence of reactions a compound A, (molecular formula C6H12O2) with a straight chain structure gives a
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The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an octahedral aqua complex of a metal i
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Which one of the following compounds is aromatic in nature?
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In the given chemical reaction, colors of the Fe2+ and Fe3+ ions, are respectively :5Fe2+ + MnO$$_4^ - $$ + 8H+ $$\to$$
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The stereoisomers that are formed by electrophilic addition of bromine to trans-but-2-ene is/are :
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In the following sequence of reactions,The compounds B and C respectively are :-
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Given below are two statements :Statement I : The nucleophilic addition of sodium hydrogen sulphite to an aldehyde or a
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Which one of the following gives the most stable Diazonium salt?
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The potassium ferrocyanide solution gives a Prussian blue colour, when added to :
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Number of paramagnetic oxides among the following given oxides is ____________.Li2O, CaO, Na2O2, KO2, MgO and K2O
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Identify the element for which electronic configuration in +3 oxidation state is [Ar]3d5 :
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The molar solubility of Zn(OH)2 in 0.1 M NaOH solution is x $$\times$$ 10$$-$$18 M. The value of x is _________ (Nearest
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For the reaction, 2NO2(g) $$\rightleftharpoons$$ N2O4(g), when $$\Delta$$S = $$-$$176.0 JK$$-$$1 and $$\Delta$$H = $$-$$
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The sum of oxidation states of two silver ions in [Ag(NH3)2] [Ag(CN)2] complex is _____________.
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The number of atoms in 8g of sodium is x $$\times$$ 1023. The value of x is ____________. (Nearest integer)[Given : NA =
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If 80 g of copper sulphate CuSO4 . 5H2O is dissolved in deionised water to make 5L of solution. The concentration of the
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A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second by the bu
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The spin-only magnetic moment value of $$B_2^ + $$ species is _____________ $$\times$$ 10$$-$$2 BM. (Nearest integer) [G
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If the conductivity of mercury at 0$$^\circ$$C is 1.07 $$\times$$ 106 S m$$-$$1 and the resistance of a cell containing
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A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have _
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Mathematics

Let f : R $$\to$$ R be a continuous function. Then $$\mathop {\lim }\limits_{x \to {\pi \over 4}} {{{\pi \over 4}\int\
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$${\cos ^{ - 1}}(\cos ( - 5)) + {\sin ^{ - 1}}(\sin (6)) - {\tan ^{ - 1}}(\tan (12))$$ is equal to :(The inverse trigono
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Consider the system of linear equations$$-$$x + y + 2z = 03x $$-$$ ay + 5z = 12x $$-$$ 2y $$-$$ az = 7Let S1 be the set
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Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :
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If y = y(x) is the solution curve of the differential equation $${x^2}dy + \left( {y - {1 \over x}} \right)dx = 0$$ ; x
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The function $$f(x) = {x^3} - 6{x^2} + ax + b$$ is such that $$f(2) = f(4) = 0$$. Consider two statements :Statement 1 :
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Let $${J_{n,m}} = \int\limits_0^{{1 \over 2}} {{{{x^n}} \over {{x^m} - 1}}dx} $$, $$\forall$$ n > m and n, m $$\in$$
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The area, enclosed by the curves $$y = \sin x + \cos x$$ and $$y = \left| {\cos x - \sin x} \right|$$ and the lines $$x
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The distance of line $$3y - 2z - 1 = 0 = 3x - z + 4$$ from the point (2, $$-$$1, 6) is :
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The numbers of pairs (a, b) of real numbers, such that whenever $$\alpha$$ is a root of the equation x2 + ax + b = 0, $$
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Let P1, P2, ......, P15 be 15 points on a circle. The number of distinct triangles formed by points Pi, Pj, Pk such that
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The range of the function, $$f(x) = {\log _{\sqrt 5 }}\left( {3 + \cos \left( {{{3\pi } \over 4} + x} \right) + \cos \le
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Let a1, a2, ..........., a21 be an AP such that $$\sum\limits_{n = 1}^{20} {{1 \over {{a_n}{a_{n + 1}}}} = {4 \over 9}}
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The function f(x), that satisfies the condition $$f(x) = x + \int\limits_0^{\pi /2} {\sin x.\cos y\,f(y)\,dy} $$, is :
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Let X be a random variable with distribution. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:blac
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Let $$f(x) = {x^6} + 2{x^4} + {x^3} + 2x + 3$$, x $$\in$$ R. Then the natural number n for which $$\mathop {\lim }\limit
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If for the complex numbers z satisfying | z $$-$$ 2 $$-$$ 2i | $$\le$$ 1, the maximum value of | 3iz + 6 | is attained a
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Let the points of intersections of the lines x $$-$$ y + 1 = 0, x $$-$$ 2y + 3 = 0 and 2x $$-$$ 5y + 11 = 0 are the mid
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Let f(x) be a polynomial of degree 3 such that $$f(k) = - {2 \over k}$$ for k = 2, 3, 4, 5. Then the value of 52 $$-$$
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All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearin
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Let $$\overrightarrow a = 2\widehat i - \widehat j + 2\widehat k$$ and $$\overrightarrow b = \widehat i + 2\widehat j
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Let [t] denote the greatest integer $$\le$$ t. The number of points where the function $$f(x) = [x]\left| {{x^2} - 1} \r
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A man starts walking from the point P($$-$$3, 4), touches the x-axis at R, and then turns to reach at the point Q(0, 2).
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Physics

A cube is placed inside an electric field, $$\overrightarrow E = 150{y^2}\widehat j$$. The side of the cube is 0.5 m an
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A square loop of side 20 cm and resistance 1$$\Omega$$ is moved towards right with a constant speed v0. The right arm of
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The temperature of an ideal gas in 3-dimensions is 300 K. The corresponding de-Broglie wavelength of the electron approx
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A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8$$\sqrt {gh} $$. The value of workdon
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The ranges and heights for two projectiles projected with the same initial velocity at angles 42$$^\circ$$ and 48$$^\cir
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A block of mass m slides on the wooden wedge, which in turn slides backward on the horizontal surface. The acceleration
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Due to cold weather a 1 m water pipe of cross-sectional area 1 cm2 is filled with ice at $$-$$10$$^\circ$$C. Resistive h
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A student determined Young's Modulus of elasticity using the formula $$Y = {{Mg{L^3}} \over {4b{d^3}\delta }}$$. The val
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Two resistors R1 = (4 $$\pm$$ 0.8) $$\Omega$$ and R2 = (4 $$\pm$$ 0.4) $$\Omega$$ are connected in parallel. The equival
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Following plots show magnetization (M) vs magnetizing field (H) and magnetic susceptibility ($$\chi $$) vs temperature (
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A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water ($$\mu$$ = 4/3) into it
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In the given figure, each diode has a forward bias resistance of 30$$\Omega$$ and infinite resistance in reverse bias. T
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For the given circuit the current i through the battery when the key in closed and the steady state has been reached is
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An object of mass 'm' is being moved with a constant velocity under the action of an applied force of 2N along a frictio
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A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system
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A capacitor is connected to a 20 V battery through a resistance of 10$$\Omega$$. It is found that the potential differen
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Four particles each of mass M, move along a circle of radius R under the action of their mutual gravitational attraction
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Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by E = 20cos(2 $$\times$
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There are two infinitely long straight current carrying conductors and they are held at right angles to each other so th
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The temperature of 3.00 mol of an ideal diatomic gas is increased by 40.0$$^\circ$$C without changing the pressure of th
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The width of one of the two slits in a Young's double slit experiment is three times the other slit. If the amplitude of
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Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutio
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When a body slides down from rest along a smooth inclined plane making an angle of 30$$^\circ$$ with the horizontal, it
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The average translational kinetic energy of N2 gas molecules at .............$$^\circ$$C becomes equal to the K.E. of an
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A uniform heating wire of resistance 36$$\Omega$$ is connected across a potential difference of 240 V. The wire is then
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A steel rod with y = 2.0 $$\times$$ 1011 Nm$$-$$2 and $$\alpha$$ = 10$$-$$5 $$^\circ$$C$$-$$1 of length 4 m and area of
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A 2 kg steel rod of length 0.6 m is clamped on a table vertically at its lower end and is free to rotate in vertical pla
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An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is
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