JEE Main 2020 (Online) 3rd September Evening Slot

Paper was held on
Thu, Sep 3, 2020 9:30 AM

## 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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