JEE Main 2020 (Online) 3rd September Evening Slot
Paper was held on Thu, Sep 3, 2020 9:30 AM
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Chemistry

The strengths of 5.6 volume hydrogen peroxide (of density 1 g/mL) in terms of mass percentage and molarity (M), respecti
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Among the statements (I – IV), the correct ones are: (I) Be has smaller atomic radius compared to Mg. (II) Be has higher
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Consider the hypothetical situation where the azimuthal quantum number, $$l$$, takes values 0, 1, 2, ....., n + 1, where
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The five successive ionization enthalpies of an element are 800, 2427, 3658, 25024 and 32824 kJ mol–1. The number of val
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Three isomers A, B and C (mol. formula C8H11N) give the following results : R has lower boiling point than S A, B and
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A mixture of one mole each of H2 , He and O2 each are enclosed in a cylinder of volume V at temperature T. If the partia
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100 mL of 0.1 M HCl is taken in a beaker and to it 100 mL of 0.1 M NaOH is added in steps of 2 mL and the pH is continuo
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The incorrect statement(s) among (a) – (d) regarding acid rain is (are) : (a) It can corrode water pipes. (b) It can dam
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An ionic micelle is formed on the addition of :
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The d-electron configuration of [Ru(en)3 ]Cl2 and [Fe(H2O)6]Cl2 , respectively are :
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The major product in the following reaction is :
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The decreasing order of reactivity of the following compounds towards nucleophilic substitution (SN2) is :
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The increasing order of the reactivity of the following compound in nucleophilic addition reaction is : Propanal, Benzal
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The incorrect statement is :
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The compound A in the following reaction is :
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Consider the following molecules and statements related to them : (a) (B) is more likely to be crystalline than (A) (b)
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Complex A has a composition of H12O6Cl3Cr. If the complex on treatment with conc.H2SO4 loses 13.5% of its original mass
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For the reaction 2A + 3B + $${3 \over 2}$$C $$ \to $$ 3P, which statement is correct ?
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Consider the following reaction : The product 'P' gives positive ceric ammonium nitrate test. This is because of the pr
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Match the following drugs with their therapeutic actions : .tg {border-collapse:collapse;border-spacing:0;} .tg td{bor
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An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation Cr2O72-
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The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid is ___________.
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If 250 cm3 of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of another aqueous soluti
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6.023 $$ \times $$ 1022 molecules are present in 10 g of a substance 'x'. The molarity of a solution containing 5 g of s
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The number of groups present in a tripeptide Asp–Glu–Lys is ____.
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Mathematics

If the value of the integral $$\int\limits_0^{{1 \over 2}} {{{{x^2}} \over {{{\left( {1 - {x^2}} \right)}^{{3 \over 2}}
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Let R1 and R2 be two relation defined as follows : R1 = {(a, b) $$ \in $$ R2 : a2 + b2 $$ \in $$ Q} and R2 = {(a,
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Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2
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Let p, q, r be three statements such that the truth value of (p $$ \wedge $$ q) $$ \to $$ ($$ \sim $$q $$ \vee $$ r) is
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Let a, b c $$ \in $$ R be such that a2 + b2 + c2 = 1. If $$a\cos \theta = b\cos \left( {\theta + {{2\pi } \over 3}}
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Suppose f(x) is a polynomial of degree four, having critical points at –1, 0, 1. If T = {x $$ \in $$ R | f(x) = f(0)},
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Let e1 and e2 be the eccentricities of the ellipse, $${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$$(b < 5) a
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The set of all real values of $$\lambda $$ for which the quadratic equations, ($$\lambda $$2 + 1)x2 – 4$$\lambda $$x +
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If the sum of the series 20 + 19$${3 \over 5}$$ + 19$${1 \over 5}$$ + 18$${4 \over 5}$$ + ... upto nth term is 488 and t
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If the term independent of x in the expansion of $${\left( {{3 \over 2}{x^2} - {1 \over {3x}}} \right)^9}$$ is k, then 1
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Let A be a 3 $$ \times $$ 3 matrix such that adj A = $$\left[ {\matrix{ 2 & { - 1} & 1 \cr { - 1} &
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If $$\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx$$ = A(x)$${\tan ^{ - 1}}\left( {\sqrt x } \ri
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If z1 , z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and arg(z1 - z2) = $${\pi \over 6}$$,
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Let xi (1 $$ \le $$ i $$ \le $$ 10) be ten observations of a random variable X. If $$\sum\limits_{i = 1}^{10} {\left( {
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If a $$\Delta $$ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :
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The plane which bisects the line joining, the points (4, –2, 3) and (2, 4, –1) at right angles also passes through the p
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If the surface area of a cube is increasing at a rate of 3.6 cm2/sec, retaining its shape; then the rate of change of it
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$$\mathop {\lim }\limits_{x \to a} {{{{\left( {a + 2x} \right)}^{{1 \over 3}}} - {{\left( {3x} \right)}^{{1 \over 3}}}}
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If x3dy + xy dx = x2dy + 2y dx; y(2) = e and x > 1, then y(4) is equal to :
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The probability that a randomly chosen 5-digit number is made from exactly two digits is :
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The total number of 3-digit numbers, whose sum of digits is 10, is __________.
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Let a plane P contain two lines $$\overrightarrow r = \widehat i + \lambda \left( {\widehat i + \widehat j} \right)$$,
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If m arithmetic means (A.Ms) and three geometric means (G.Ms) are inserted between 3 and 243 such that 4th A.M. is equal
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Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y + 5z = 0 –2x + 4y + z = 0 –7x +
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If the tangent to the curve, y = ex at a point (c, ec) and the normal to the parabola, y2 = 4x at the point (1, 2) inte
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Physics

A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless hori
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The mass density of a planet of radius R varies with the distance r from its centre as $$\rho $$(r) = $${\rho _0}\left(
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Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sourc
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Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. Dimensio
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A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source
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If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then its band gap energy is : Pla
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Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected
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A uniform rod of length ‘$$l$$’ is pivoted at one of its ends on a vertical shaft of negligible radius. When the shaft r
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Two resistors 400$$\Omega $$ and 800$$\Omega $$ are connected in series across a 6 V battery. The potential difference
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A metallic sphere cools from 50oC to 40o in 300 s. If atmospheric temperature around is 20oC, then the sphere’s temperat
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A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block
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The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 $$ \times $$ 10–15)A1/3 m. It follow
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A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The w
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To raise the temperature of a certain mass of gas by 50oC at a constant pressure, 160 calories of heat is required. When
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Concentric metallic hollow spheres of radii R and 4R hold charges Q1 and Q2 respectively. Given that surface charge de
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A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is filled with a paramagnetic substance
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The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is $$\overrightarrow E =
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Two light waves having the same wavelength $$\lambda $$ in vacuum are in phase initially. Then the first wave travels a
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Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio
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If minimum possible work is done by a refrigerator in converting 100 grams of water at 0oC to ice, how much heat (in cal
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A calorimeter of water equivalent 20 g contains 180 g of water at 25oC. ‘m’ grams of steam at 100oC is mixed in it till
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An massless equilateral triangle EFG of side ‘a’ (As shown in figure) has three particles of mass m situated at its vert
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When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm from the
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A block starts moving up an inclined plane of inclination 30o with an initial velocity of v0 . It comes back to its init
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A galvanometer coil has 500 turns and each turn has an average area of 3 $$ \times $$ 10–4 m2 . If a torque of 1.5 Nm is
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