JEE Main 2020 (Online) 8th January Evening Slot

Paper was held on
Wed, Jan 8, 2020 9:30 AM

## Chemistry

Among the reactions (a) - (d), the reaction(s)
that does/do not occur in the blast furnace
during the extraction of iron

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Kjeldahl's method cannot be used to estimate
nitrogen for which of the following
compounds?

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Consider the following plots of rate constant
versus $${1 \over T}$$ for four different reactions. Which
of the followin

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An unsaturated hydrocarbon X absorbs two
hydrogen molecules on catalytic hydrogenation and also gives following reaction

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The increasing order of the atomic radii of the
following elements is :-
(a) C (b) O (c) F (d) Cl
(e) Br

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Among the compounds A and B with
molecular formula C9H18O3 , A is having higher
boiling point the B. The possible struct

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The major product [B] in the following
sequence of reactions is :-

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A metal (A) on heating in nitrogen gas gives
compound B. B on treatment with H2O gives
a colourless gas which when passe

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Which of the following compounds is likely to
show both Frenkel and Schottky defects in its
crystalline form?

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Arrange the following bonds according to their
average bond energies in descending order :
C–Cl, C–Br, C–F, C–I

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For the following Assertion and Reason, the
correct option is :
Assertion : The pH of water increases with
increase in t

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The radius of the second Bohr orbit, in terms
of the Bohr radius, a0, in Li2+ is :

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Among (a) – (d) the complexes that can display
geometrical isomerism are :
(a) [Pt(NH3)3Cl]+
(b) [Pt(NH3)Cl5]–
(c) [Pt(

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The major product in the following reaction is:

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Two monomers in maltose are :

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White Phosphorus on reaction with concentrated
NaOH solution in an inert atmosphere of CO2
gives phosphine and compound

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Hydrogen has three isotopes (A), (B) and (C).
If the number of neutron(s) in (A), (B) and (C)
respectively, are (x), (y)

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Preparation of Bakelite proceeds via reactions.

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The correct order of the calculated spin-only
magnetic moments of complexs (A) to (D) is:
(A) Ni(CO)4
(B) [Ni(H2O)6]Cl2

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For the following Assertion and Reason, the
correct option is
Assertion : For hydrogenation reactions, the
catalytic act

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For an electrochemical cell
Sn(s) | Sn2+ (aq,1M)||Pb2+ (aq,1M)|Pb(s)
the ratio $${{\left[ {S{n^{2 + }}} \right]} \over {

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NaClO3 is used, even in spacecrafts, to produce
O2. The daily consumption of pure O2 by a
person is 492L at 1 atm, 300K.

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In the following sequence of reactions the
maximum number of atoms present in
molecule 'C' in one plane is _________.
(

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At constant volume, 4 mol of an ideal gas when
heated from 300 K to 500K changes its internal
energy by 5000 J. The mola

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Complexes (ML5) of metals Ni and Fe have
ideal square pyramidal and trigonal
bipyramidal grometries, respectively. The s

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## Mathematics

Let $$\overrightarrow a = \widehat i - 2\widehat j + \widehat k$$ and $$\overrightarrow b = \widehat i - \widehat j +

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The area (in sq. units) of the region
{(x,y) $$ \in $$ R2 : x2 $$ \le $$ y $$ \le $$ 3 – 2x}, is :

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The length of the perpendicular from the origin,
on the normal to the curve, x2 + 2xy – 3y2 = 0
at the point (2,2) is

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If $$I = \int\limits_1^2 {{{dx} \over {\sqrt {2{x^3} - 9{x^2} + 12x + 4} }}} $$, then :

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Let S be the set of all functions ƒ : [0,1] $$ \to $$ R,
which are continuous on [0,1] and differentiable
on (0,1). Then

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If a line, y = mx + c is a tangent to the circle,
(x – 3)2 + y2 = 1 and it is perpendicular to a line L1, where L1 is th

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Which of the following statements is a tautology?

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If the 10th term of an A.P. is $${1 \over {20}}$$ and its 20th term
is $${1 \over {10}}$$, then the sum of its first 200

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Let ƒ : (1, 3) $$ \to $$ R be a function defined by
$$f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}$$ , where [x] denot

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If $$\alpha $$ and $$\beta $$ be the coefficients of x4 and x2
respectively in the expansion of
$${\left( {x + \sqrt {{x

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The system of linear equations
$$\lambda $$x + 2y + 2z = 5
2$$\lambda $$x + 3y + 5z = 8
4x + $$\lambda $$y + 6z = 10 has

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If $${{\sqrt 2 \sin \alpha } \over {\sqrt {1 + \cos 2\alpha } }} = {1 \over 7}$$ and $$\sqrt {{{1 - \cos 2\beta } \over

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If $$A = \left( {\matrix{
2 & 2 \cr
9 & 4 \cr
} } \right)$$ and $$I = \left( {\matrix{
1 & 0

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The mirror image of the point (1, 2, 3) in a plane
is $$\left( { - {7 \over 3}, - {4 \over 3}, - {1 \over 3}} \right)$$.

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Let S be the set of all real roots of the equation,
3x(3x – 1) + 2 = |3x – 1| + |3x – 2|. Then S :

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The differential equation of the family of
curves, x2 = 4b(y + b), b $$ \in $$ R, is :

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$$\mathop {\lim }\limits_{x \to 0} {{\int_0^x {t\sin \left( {10t} \right)dt} } \over x}$$ is equal to

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The mean and variance of 20 observations are
found to be 10 and 4, respectively. On
rechecking, it was found that an obs

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Let A and B be two events such that the
probability that exactly one of them occurs is $${2 \over 5}$$ and the probabili

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Let $$\alpha = {{ - 1 + i\sqrt 3 } \over 2}$$. If $$a = \left( {1 + \alpha } \right)\sum\limits_{k = 0}^{100} {{\alpha

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If a hyperbola passes through the point
P(10, 16) and it has vertices at (± 6, 0), then the
equation of the normal to it

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Let ƒ(x) be a polynomial of degree 3 such that
ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point
at x = –1 and ƒ'(x) has

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The sum, $$\sum\limits_{n = 1}^7 {{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 4}} $$ is equal to
________.

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Let a line y = mx (m > 0) intersect the parabola,
y2 = x at a point P, other than the origin. Let
the tangent to it a

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The number of 4 letter words (with or without
meaning) that can be formed from the eleven
letters of the word 'EXAMINATI

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## Physics

As shown in figure, when a spherical cavity
(centered at O) of radius 1 is cut out of a uniform
sphere of radius R (cent

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In a double slit experiment, at a certain point
on the screen the path difference between the
two interfering waves is $

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A plane electromagnetic wave of frequency
25 GHz is propagating in vacuum along the
z-direction. At a particular point i

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A galvanometer having a coil resistance
100 $$\Omega $$ gives a full scale deflection when a
current of 1 mA is passed t

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A particle of mass m and charge q is released
from rest in a uniform electric field. If there is
no other force on the p

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A simple pendulum is being used to determine
th value of gravitational acceleration g at a
certain place. Th length of t

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Two liquids of densities $${\rho _1}$$ an $${\rho _2}$$ ($${\rho _2}$$ = 2$${\rho _1}$$) are
filled up behind a square w

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A transverse wave travels on a taut steel wire
with a velocity of v when tension in it is
2.06 × 104 N. When the tension

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A shown in the figure, a battery of emf $$\varepsilon $$ is
connected to an inductor L and resistance R in
series. The s

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A capacitor is made of two square plates each
of side 'a' making a very small angle $$\alpha $$ between
them, as shown i

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A very long wire ABDMNDC is shown in
figure carrying current I. AB and BC parts are
straight, long and at right angle. A

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A particle of mass m is dropped from a height
h above the ground. At the same time another
particle of the same mass is

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A carnot engine having an efficiency of $${1 \over {10}}$$ is
being used as a refrigerator. If the work done
on the refr

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Consider a mixture of n moles of helium gas
and 2n moles of oxygen gas (molecules taken
to be rigid) as an ideal gas. It

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A uniform sphere of mass 500 g rolls without
slipping on a plane horizontal surface with its
centre moving at a speed of

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An electron (mass m) with initial velocity $$\overrightarrow v = {v_0}\widehat i + {v_0}\widehat j$$ is in an electric

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Consider two charged metallic spheres S1 and
S2 of radii R1 and R2, respectively. The electric
fields E1 (on S1) and E2

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A particle moves such that its position
vector $$\overrightarrow r \left( t \right) = \cos \omega t\widehat i + \sin \om

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In the given circuit, value of Y is :

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An object is gradually moving away from the
focal point of a concave mirror along the axis
of the mirror. The graphical

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Three containers C1, C2 and C3 have water at
different temperatures. The table below shows
the final temperature T when

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A ball is dropped from the top of a 100 m high
tower on a planet. In the last $${1 \over 2}s$$ before hitting
the ground

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The first member of the Balmer series of
hydrogen atom has a wavelength of 6561 Å.
The wavelength of the second member o

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An asteroid is moving directly towards the
centre of the earth. When at a distance of
10R (R is the radius of the earth)

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The series combination of two batteries, both
of the same emf 10 V, but different internal
resistance of 20$$\Omega $$ a

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