JEE Main 2020 (Online) 6th September Evening Slot

Paper was held on
Sun, Sep 6, 2020 9:30 AM

## Chemistry

The correct match between Item - I and Item - II
is :
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Which one of the following statements is not
true?

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The reaction of NO with N2O4 at 250 K gives :

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Match the following compounds (Column-I) with
their uses (Column-II) :
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The IUPAC name of the following compound is :

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Reaction of an inorganic sulphite X with dilute
H2SO4 generates compound Y. Reaction of Y
with NaOH gives X. Further, th

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Which of the following compounds can be
prepared in good yield by Gabriel phthalimide
synthesis?

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Mischmetal is an alloy consisting mainly of :

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The average molar mass of chlorine is
35.5 g mol–1. The ratio of 35Cl to 37Cl in naturally
occuring chlorine is close to

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A crystal is made up of metal ions 'M1' and 'M2'
and oxide ions. Oxide ions form a ccp lattice
structure. The cation 'M1

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The correct match between Item-I (starting
material) and Item-II (reagent) for the
preparation of benzaldehyde is :
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For a reaction,
4M(s) + nO2(g) $$ \to $$ 2M2On(s)
the free energy change is plotted as a function
of temperature. The te

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For the given cell :
Cu(s) | Cu2+(C1M) || Cu2+(C2M) | Cu(s)
change in Gibbs energy ($$\Delta $$G) is negative, if :

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A set of solutions is prepared using 180 g of
water as a solvent and 10 g of different nonvolatile solutes A, B and C. T

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The value of KC is 64 at 800 K for the reaction
N2(g) + 3H2(g) ⇌ 2NH3(g)
The value of KC for the following reaction is :

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The element that can be refined by distillation
is :

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Match the following :
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The increasing order of the boiling points of
the major products A, B and C of the following
reactions will be :

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For a d4 metal ion in an octahedral field, the
correct electronic configuration is :

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Dihydrogen of high purity (> 99.95%) is
obtained through :

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A solution of phenol in chloroform when treated
with aqueous NaOH gives compound P as a
major product. The mass percenta

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For Freundlich adsorption isotherm, a plot of
log (x/m) (y-axis) and log p (x-axis) gives a
straight line. The intercept

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If the solubility product of AB2 is 3.20 $$ \times $$ 10–11 M3,
then the solubility of AB2 in pure water is
_____ $$ \ti

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The atomic number of Unnilunium is _______.

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The rate of a reaction decreased by 3.555
times when the temperature was changed
from 40oC to 30oC. The activation energ

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## Mathematics

The probabilities of three events A, B and C are
given by P(A) = 0.6, P(B) = 0.4 and P(C) = 0.5.
If P(A$$ \cup $$B) = 0.

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If $$y = \left( {{2 \over \pi }x - 1} \right) cosec\,x$$ is the solution of the
differential equation, $${{dy} \over {d

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If the normal at an end of a latus rectum of an
ellipse passes through an extremity of the
minor axis, then the eccentri

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If $$\alpha $$ and $$\beta $$ are the roots of the equation
2x(2x + 1) = 1, then $$\beta $$ is equal to :

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The centre of the circle passing through the
point (0, 1) and touching the parabola y = x2 at the point (2, 4) is :

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The common difference of the A.P. b1, b2, … , bm
is 2 more than the common difference of A.P. a1, a2, …, an. If a40 =

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The angle of elevation of the summit of a
mountain from a point on the ground is 45°.
After climbing up one km towards t

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Let $$\theta = {\pi \over 5}$$ and $$A = \left[ {\matrix{
{\cos \theta } & {\sin \theta } \cr
{ - \sin \th

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If the constant term in the binomial expansion
of $${\left( {\sqrt x - {k \over {{x^2}}}} \right)^{10}}$$ is 405, then

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The set of all real values of $$\lambda $$ for which the
function
$$f(x) = \left( {1 - {{\cos }^2}x} \right)\left( {\lam

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Let f : R $$ \to $$ R be a function defined by f(x) = max {x, x2}. Let S denote the set of all points in R, where f is n

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Consider the statement : ‘‘For an integer n, if n3 – 1 is even, then n is odd.’’ The contrapositive statement of this st

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If the tangent to the curve, y = f (x) = xloge x,
(x > 0) at a point (c, f(c)) is parallel to the
line-segment joinin

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For all twice differentiable functions f : R $$ \to $$ R,
with f(0) = f(1) = f'(0) = 0

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The integral $$\int\limits_1^2 {{e^x}.{x^x}\left( {2 + {{\log }_e}x} \right)} dx$$ equals :

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For a suitably chosen real constant a, let a
function, $$f:R - \left\{ { - a} \right\} \to R$$ be defined by
$$f(x) = {

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Let z = x + iy be a non-zero complex number
such that $${z^2} = i{\left| z \right|^2}$$, where i = $$\sqrt { - 1} $$ , t

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The area (in sq. units) of the region enclosed
by the curves y = x2 – 1 and y = 1 – x2 is equal to :

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A plane P meets the coordinate axes at A, B
and C respectively. The centroid of $$\Delta $$ABC is
given to be (1, 1, 2).

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Let L denote the line in the xy-plane with x and
y intercepts as 3 and 1 respectively. Then the
image of the point (–1,

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The sum of distinct values of $$\lambda $$ for which the
system of equations$$\left( {\lambda - 1} \right)x + \left( {3

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The number of words (with or without meaning)
that can be formed from all the letters of the
word “LETTER” in which vowe

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Suppose that a function f : R $$ \to $$ R satisfies
f(x + y) = f(x)f(y) for all x, y $$ \in $$ R and f(1) = 3. If $$\sum

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If $$\overrightarrow x $$ and $$\overrightarrow y $$ be two non-zero vectors such that
$$\left| {\overrightarrow x + \o

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Consider the data on x taking the values 0, 2, 4,
8,....., 2n with frequencies nC0
,
nC1
,
nC2
,....,
nCn
respectively.

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## Physics

For a plane electromagnetic wave, the magnetic field at a point x and time t is
$$\overrightarrow B \left( {x,t} \right)

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Particle A of mass m1
moving with velocity $$\left( {\sqrt3\widehat i + \widehat j} \right)m{s^{ - 1}}$$ collides with

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When a car is at rest, its driver sees rain drops falling on it vertically. When driving the car with
speed v, he sees t

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A double convex lens has power P and same radii of curvature R of both the surfaces. The radius of
curvature of a surfac

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A charged particle going around in a circle can be considered to be a current loop. A particle of
mass m carrying charge

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A square loop of side 2$$a$$ and carrying current I is kept in xz plane with its centre at origin. A long
wire carrying

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A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly
to the resistor. In t

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In a dilute gas at pressure P and temperature T, the mean time between successive collisions of a
molecule varies with T

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When a particle of mass m is attached to a vertical spring of spring constant k and released, its
motion is described by

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A fluid is flowing through a horizontal pipe of varying cross-section, with speed v ms–1 at a point
where the pressure i

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Three rods of identical cross-section and lengths are made of three different materials of thermal
conductivity K1
, K2

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The linear mass density of a thin rod AB of length L varies from A to B as
$$\lambda \left( x \right) = {\lambda _0}\lef

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Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wavelength
of nitrogen molecule i

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Two identical electric point dipoles have dipole moments $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow

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A student measuring the diameter of a pencil of circular cross-section with the help of a vernier
scale records the foll

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In the figure shown, the current in the 10 V battery is close to :

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Consider the force F on a charge 'q' due to a uniformly charged spherical shell of radius R carrying
charge Q distribute

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Two planets have masses M and 16 M and their radii are $$a$$ and 2$$a$$, respectively. The separation
between the centre

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Given the masses of various atomic particles
mp = 1.0072 u, mn = 1.0087 u, me = 0.000548 u,
$${m_{\overline v }}$$ = 0,

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A particle moving in the xy plane experiences a velocity dependent force
$$\overrightarrow F = k\left( {{v_y}\widehat i

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The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then
value of x is _____

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A Young's double-slit experiment is performed using monochromatic light of wavelength $$\lambda $$. The
intensity of lig

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The output characteristics of a transistor is shown in the figure. When VCE is 10V and IC
= 4.0 mA,
then value of $$\be

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In a series LR circuit, power of 400W is dissipated from a source of 250 V, 50 Hz. The power factor
of the circuit is 0.

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An engine operates by taking a monoatomic ideal gas through the cycle shown in the figure. The
percentage efficiency of

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