JEE Main 2020 (Online) 5th September Morning Slot

Paper was held on
Sat, Sep 5, 2020 3:30 AM

## Chemistry

The equation that represents the water-gas shift
reaction is :

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The values of the crystal field stabilization
energies for a high spin d6 metal ion in
octahedral and tetrahedral fields

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Consider the following reaction:
N2O4(g) ⇌ 2NO2(g); $$\Delta $$Ho = +58 kJ
For each of the following cases (a, b), the d

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Which of the following is not an essential
amino acid :

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In the following reaction sequence the major
products A and B are :

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The increasing order of the acidity of the $$\alpha $$-hydrogen of the following compounds is :

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An Ellingham diagram provides information
about :

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Which of the following derivatives of alcohols
is unstable in an aqueous base?

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The difference between the radii of 3rd and 4th
orbits of Li2+ is R1
. The difference between the
radii of 3rd and 4th o

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The structure of PCl5
in the solid state is :

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The most appropriate reagent for conversion of
C2H5CN into CH3CH2CH2NH2 is

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A flask contains a mixture of compounds A and
B. Both compounds decompose by first-order
kinetics. The half-lives for A

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The increasing order of basicity of the following
compounds is :

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If a person is suffering from the deficiency of
nor-adrenaline, what kind of drug can be
suggested?

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Identify the correct molecular picture showing
that happens at the critical micellar
concentration (CMC) of an aqueous s

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The correct electronic configuration and spin-only magnetic moment (BM) of Gd3+ (Z = 64),
respectively, are :

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The condition that indicates a polluted environment
is :

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In the sixth period, the orbitals that are filled are :

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The potential energy curve for the H2
molecule as a function of internuclear distance is :

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A diatomic molecule X2
has a body-centred cubic
(bcc) structure with a cell edge of 300 pm. The
density of the molecule

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The minimum number of moles of O2
required for complete combustion of 1 mole of propane and 2
moles of butane is _____.

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The number of chiral carbon(s) present in
peptide, Ile-Arg-Pro, is _____.

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A soft drink was bottled with a partial pressure of CO2
of 3 bar over the liquid at room temperature.
The partial press

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The total number of coordination sites in ethylenediaminetetraacetate (EDTA4–) is _____.

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An oxidation-reduction reaction in which 3 electrons are transferred has a $$\Delta $$Gº of 17.37 kJ mol–1 at
25 oC. The

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## Mathematics

If the volume of a parallelopiped, whose coterminus edges are given by the vectors $$\overrightarrow a = \widehat i + \

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The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the

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A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percenta

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If 210 + 29.31 + 28
.32 +.....+ 2.39 + 310 = S - 211, then S is equal to :

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If the common tangent to the parabolas, y2 = 4x and x2 = 4y also touches the circle, x2 + y2 = c2, then c is equal to :

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If the minimum and the maximum values of the function $$f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R$$, define

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If $${3^{2\sin 2\alpha - 1}}$$, 14 and $${3^{4 - 2\sin 2\alpha }}$$ are the first three terms of an A.P. for some $$\al

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If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, -4), then PQ2 is equal to:

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Let $$\lambda \in $$ R . The system of linear equations
2x1
- 4x2 + $$\lambda $$x3 = 1
x1 - 6x2 + x3 = 2
$$\lambda $$x1

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The product of the roots of the equation 9x2 - 18|x| + 5 = 0 is :

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If y = y(x) is the solution of the differential equation $${{5 + {e^x}} \over {2 + y}}.{{dy} \over {dx}} + {e^x} = 0$$

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If S is the sum of the first 10 terms of the series
$${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left(

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The value of $$\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx} $$ is:

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If (a, b, c) is the image of the point (1, 2, -3) in the line $${{x + 1} \over 2} = {{y - 3} \over { - 2}} = {z \over {

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If the function $$f\left( x \right) = \left\{ {\matrix{
{{k_1}{{\left( {x - \pi } \right)}^2} - 1,} & {x \le \pi

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If the four complex numbers $$z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)$$

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The negation of the Boolean expression x $$ \leftrightarrow $$ ~ y is equivalent to :

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Four fair dice are thrown independently 27 times. Then the expected number of times, at
least two dice show up a three o

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If $$\alpha $$ is positive root of the equation, p(x) = x2 - x - 2 = 0, then
$$\mathop {\lim }\limits_{x \to {\alpha ^ +

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If the co-ordinates of two points A and B are $$\left( {\sqrt 7 ,0} \right)$$ and $$\left( { - \sqrt 7 ,0} \right)$$ res

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If $$\int {\left( {{e^{2x}} + 2{e^x} - {e^{ - x}} - 1} \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}}dx} $$ = $$g\left

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Let $$f(x) = x.\left[ {{x \over 2}} \right]$$, for -10< x < 10, where [t] denotes the greatest integer function.

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The natural number m, for which the coefficient of x in the binomial expansion of
$${\left( {{x^m} + {1 \over {{x^2}}}}

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If the line, 2x - y + 3 = 0 is at a distance $${1 \over {\sqrt 5 }}$$
and $${2 \over {\sqrt 5 }}$$ from the lines 4x - 2

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The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the w

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## Physics

An electrical power line, having a total
resistance of 2 $$\Omega $$, delivers 1 kW at 220 V. The
efficiency of the tran

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A bullet of mass 5 g, travelling with a speed of
210 m/s, strikes a fixed wooden target. One half
of its kinetic energy

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A wheel is rotating freely with an angular speed
$$\omega $$ on a shaft. The moment of inertia of the
wheel is I and the

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An electron is constrained to move along
the y-axis with a speed of 0.1 c (c is the
speed of light) in the presence of
e

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Activities of three radioactive substances A, B
and C are represented by the curves A, B and
C, in the figure. Then thei

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Assume that the displacement(s) of air is
proportional to the pressure difference ($$\Delta $$p)
created by a sound wave

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A hollow spherical shell at outer radius R floats
just submerged under the water surface. The
inner radius of the shell

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A helicopter rises from rest on the ground
vertically upwards with a constant acceleration
g. A food packet is dropped f

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With increasing biasing voltage of a photodiode,
the photocurrent magnitude :

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A physical quantity z depends on four
observables a, b, c and d, as z = $${{{a^2}{b^{{2 \over 3}}}} \over {\sqrt c {d^3}

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Two capacitors of capacitances C and 2C are
charged to potential differences V and 2V,
respectively. These are then conn

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Three different processes that can occur in an
ideal monoatomic gas are shown in the P vs V
diagram. The paths are label

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A solid sphere of radius R carries a charge
Q + q distributed uniformly over its volume. A
very small point like piece o

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The value of the acceleration due to gravity is
g1 at a height h = $${R \over 2}$$ (R = radius of the earth) from the su

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For a concave lens of focal length f, the relation
between object and image distances u and v,
respectively, from its po

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In a resonance tube experiment when the tube
is filled with water up to a height of 17.0 cm
from bottom, it resonates wi

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A galvanometer of resistance G is converted
into a voltmeter of range 0 – 1 V by connecting
a resistance R1 in series wi

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A balloon is moving up in air vertically above a
point A on the ground. When it is at a height h1,
a girl standing at a

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Number of molecules in a volume of 4 cm3 of
a perfect monoatomic gas at some temperature
T and at a pressure of 2 cm of

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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 carryin

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A force $$\overrightarrow F = \left( {\widehat i + 2\widehat j + 3\widehat k} \right)$$ N acts at a point $$\left( {4\w

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Two concentric circular coils, C1 and C2 are
placed in the XY plane. C1 has 500 turns, and
a radius of 1 cm. C2 has 200

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A beam of electrons of energy E scatters from
a target having atomic spacing of 1 $$\mathop A\limits^o $$. The first
max

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A particle of mass 200 MeV/c2 collides with a
hydrogen atom at rest. Soon after the collision
the particle comes to rest

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A compound microscope consists of an
objective lens of focal length 1 cm and an
eyepiece of focal length 5 cm with a sep

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