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

View Question Among the statements (I – IV), the correct ones
are:
(I) Be has smaller atomic radius compared to
Mg.
(II) Be has higher

View Question Consider the hypothetical situation where the
azimuthal quantum number,
$$l$$, takes values 0,
1, 2, ....., n + 1, where

View Question The five successive ionization enthalpies of an
element are 800, 2427, 3658, 25024 and 32824
kJ mol–1. The number of val

View Question Three isomers A, B and C (mol. formula C8H11N) give the following results :
R has lower boiling point than S
A, B and

View Question 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

View Question The d-electron configuration of [Ru(en)3
]Cl2
and [Fe(H2O)6]Cl2
, respectively are :

View Question The major product in the following reaction is :

View Question The decreasing order of reactivity of the
following compounds towards nucleophilic
substitution (SN2) is :

View Question The increasing order of the reactivity of the
following compound in nucleophilic addition
reaction is :
Propanal, Benzal

View Question The incorrect statement is :

View Question The compound A in the following reaction is :

View Question Consider the following molecules and
statements related to them :
(a) (B) is more likely to be crystalline than (A)
(b)

View Question Complex A has a composition of H12O6Cl3Cr. If the complex on treatment with conc.H2SO4
loses
13.5% of its original mass

View Question For the reaction 2A + 3B +
$${3 \over 2}$$C
$$ \to $$ 3P, which
statement is correct ?

View Question Consider the following reaction :
The product 'P' gives positive ceric ammonium nitrate test. This is because of the pr

View Question An acidic solution of dichromate is electrolyzed
for 8 minutes using 2A current. As per the
following equation
Cr2O72-

View Question The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid is ___________.

View Question If 250 cm3
of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of
another aqueous soluti

View Question 6.023 $$ \times $$ 1022 molecules are present in 10 g of a substance 'x'. The molarity of a solution containing
5 g of s

View Question The number of
groups present in a tripeptide Asp–Glu–Lys is ____.

View Question ## Mathematics

If the value of the integral
$$\int\limits_0^{{1 \over 2}} {{{{x^2}} \over {{{\left( {1 - {x^2}} \right)}^{{3 \over 2}}

View Question Let R1
and R2
be two relation defined as
follows :
R1
= {(a, b) $$ \in $$ R2
: a2
+ b2 $$ \in $$ Q} and
R2
= {(a,

View Question 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

View Question 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}}

View Question 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)},

View Question Let e1
and e2
be the eccentricities of the
ellipse, $${{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1$$(b < 5) a

View Question The set of all real values of $$\lambda $$ for which the
quadratic equations, ($$\lambda $$2
+ 1)x2
– 4$$\lambda $$x +

View Question 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

View Question If $$\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx$$ = A(x)$${\tan ^{ - 1}}\left( {\sqrt x } \ri

View Question If z1
, z2
are complex numbers such that
Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and
arg(z1 - z2) = $${\pi \over 6}$$,

View Question Let xi
(1 $$ \le $$ i $$ \le $$ 10) be ten observations of a
random variable X. If $$\sum\limits_{i = 1}^{10} {\left( {

View Question If a $$\Delta $$ABC has vertices A(–1, 7), B(–7, 1) and
C(5, –5), then its orthocentre has coordinates :

View Question 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

View Question $$\mathop {\lim }\limits_{x \to a} {{{{\left( {a + 2x} \right)}^{{1 \over 3}}} - {{\left( {3x} \right)}^{{1 \over 3}}}}

View Question If x3dy + xy dx = x2dy + 2y dx; y(2) = e and
x > 1, then y(4) is equal to :

View Question The probability that a randomly chosen 5-digit
number is made from exactly two digits is :

View Question The total number of 3-digit numbers, whose
sum of digits is 10, is __________.

View Question 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

View Question 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 +

View Question ## Physics

A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on
a frictionless hori

View Question The mass density of a planet of radius R varies with the distance r from its centre as
$$\rho $$(r) = $${\rho _0}\left(

View Question Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sourc

View Question Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar
constant. Dimensio

View Question A particle is moving unidirectionally on a horizontal plane under the action of a constant power
supplying energy source

View Question If a semiconductor photodiode can detect a photon with a maximum wavelength of 400 nm, then
its band gap energy is :
Pla

View Question Which of the following will NOT be observed when a multimeter (operating in resistance measuring
mode) probes connected

View Question A uniform rod of length ‘$$l$$’ is pivoted at one of its ends on a vertical shaft of negligible radius.
When the shaft r

View Question Two resistors 400$$\Omega $$ and 800$$\Omega $$ are connected in series across a 6 V battery. The potential difference

View Question 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

View Question 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

View Question A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of
a metal wire. The w

View Question To raise the temperature of a certain mass of gas by 50oC at a constant pressure, 160 calories of
heat is required. When

View Question Concentric metallic hollow spheres of radii R and 4R hold charges Q1
and Q2
respectively. Given that
surface charge de

View Question A perfectly diamagnetic sphere has a small spherical cavity at its centre, which is filled with a
paramagnetic substance

View Question The electric field of a plane electromagnetic wave propagating along the x direction in vacuum is
$$\overrightarrow E =

View Question Two light waves having the same wavelength $$\lambda $$ in vacuum are in phase initially. Then the first wave
travels a

View Question Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential
difference. The ratio

View Question 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

View Question An massless equilateral triangle EFG of side ‘a’ (As shown in figure) has three particles of mass m
situated at its vert

View Question 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

View Question A block starts moving up an inclined plane of inclination 30o with an initial velocity of v0
. It comes
back to its init

View Question 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

View Question