JEE Main 2020 (Online) 6th September Morning Slot

Paper was held on
Sun, Sep 6, 2020 3:30 AM

## Chemistry

The increasing order of pKb values of the
following compounds is :

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A solution of two components containing
n1 moles of the 1st component and n2 moles of
the 2nd component is prepared. M1

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The incorrect statement is :

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Kraft temperature is the temperature :

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For the reaction
Fe2N(s) + $${3 \over 2}$$H2(g) ⇌ 2Fe(s) + NH3(g)

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Arrange the following solutions in the
decreasing order of pOH :
(A) 0.01 M HCl
(B) 0.01 M NaOH
(C) 0.01 M CH3COONa
(D)

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The species that has a spin-only magnetic
moment of 5.9 BM, is :
(Td = tetrahedral)

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The major product of the following reaction is :

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The major products of the following reaction are :

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The lanthanoid that does NOT show +4 oxidation
state is :

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Which of the following compounds shows
geometrical isomerism?

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The presence of soluble fluoride ion upto
1 ppm concentration in drinking water, is :

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Among the sulphates of alkaline earth metals,
the solubilities of BeSO4 and MgSO4 in water,
respectively, are :

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The major product obtained from the following
reaction is :

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The correct statement with respect to
dinitrogen is :

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Consider the following reactions
A $$ \to $$ P1 ; B $$ \to $$ P2 ; C $$ \to $$ P3 ; D $$ \to $$ P4,
The order of the abo

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Consider the Assertion and Reason given
below.
Assertion (A) : Ethene polymerized in the
presence of Ziegler Natta Catal

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The variation of equilibrium constant with
temperature is given below :
.tg {border-collapse:collapse;border-spacing:0

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Consider the following reactions
'A' is :

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The set that contains atomic numbers of only
transition elements, is :

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In an estimation of bromine by Carius method,
1.6 g of an organic compound gave 1.88 g of
AgBr. The mass percentage of b

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The number of Cl = O bonds in perchloric acid
is, "________".

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Potassium chlorate is prepared by the
electrolysis of KCl in basic solution
6OH- + Cl- $$ \to $$ ClO3- + 3H2O + 6e-
If o

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The elevation of boiling point of 0.10 m
aqueous CrCl3.xNH3 solution is two times that
of 0.05 m aqueous CaCl2 solution.

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A spherical balloon of radius 3 cm containing
helium gas has a pressure of 48 $$ \times $$ 10–3 bar. At
the same tempera

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## Mathematics

The region represented by {z = x + iy $$ \in $$ C : |z| – Re(z) $$ \le $$ 1} is also given by the inequality :
{z = x +

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The general solution of the differential equation
$$\sqrt {1 + {x^2} + {y^2} + {x^2}{y^2}} $$ + xy$${{dy} \over {dx}}$$

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The negation of the Boolean expression p $$ \vee $$ (~p $$ \wedge $$ q) is equivalent to :

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Let L1
be a tangent to the parabola y2 = 4(x + 1) and L2
be a tangent to the parabola
y2 = 8(x + 2) such that L1
and

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The area (in sq. units) of the region A = {(x, y) : |x| + |y| $$ \le $$ 1, 2y2 $$ \ge $$ |x|}

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The shortest distance between the lines
$${{x - 1} \over 0} = {{y + 1} \over { - 1}} = {z \over 1}$$ and x + y + z + 1 =

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Let a , b, c , d and p be any non zero distinct real numbers such that
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 +

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Two families with three members each and one family with four members are to be seated in a row.
In how many ways can th

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Let m and M be respectively the minimum and maximum values of
$$\left| {\matrix{
{{{\cos }^2}x} & {1 + {{\sin }^2

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The values of $$\lambda $$ and $$\mu $$ for which the system of linear equations
x + y + z = 2
x + 2y + 3z = 5
x + 3y +

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A ray of light coming from the point (2, $$2\sqrt 3 $$) is incident at an angle 30o on the line x = 1 at the
point A. Th

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Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability

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If f(x + y) = f(x)f(y) and $$\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$$ , x, y $$ \in $$ N, where N is the s

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If {p} denotes the fractional part of the number p, then
$$\left\{ {{{{3^{200}}} \over 8}} \right\}$$, is equal to :

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Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent
to the ellipse,
$${{{

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$$\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)d

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If $$\sum\limits_{i = 1}^n {\left( {{x_i} - a} \right)} = n$$ and $$\sum\limits_{i = 1}^n {{{\left( {{x_i} - a} \right)

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If $$\alpha $$ and $$\beta $$ be two roots of the equation x2 – 64x + 256 = 0. Then the value of
$${\left( {{{{\alpha ^3

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The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real
numbers grea

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If I1 = $$\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx$$ and
I2 = $$\int\limits_0^1 {{{\left( {1 - {x^{5

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If $$\overrightarrow a $$
and $$\overrightarrow b $$
are unit vectors, then the greatest value of
$$\sqrt 3 \left| {\ove

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The angle of elevation of the top of a hill from a point on the horizontal plane passing through the
foot of the hill is

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Let f : R $$ \to $$ R be defined as
$$f\left( x \right) = \left\{ {\matrix{
{{x^5}\sin \left( {{1 \over x}} \right) +

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Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If
AD = 8 m, BC = 11 m and AB = 10 m

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Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more
than the total number of

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## Physics

An electron, a doubly ionized helium ion (He++) and a proton are having the same kinetic energy.
The relation between th

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A screw gauge has 50 divisions on its circular scale. The circular scale is 4 units ahead of the
pitch scale marking, pr

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Four point masses, each of mass m, are fixed at the corners of a square of side $$l$$. The square is
rotating with angul

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For the given input voltage waveform Vin(t), the output voltage waveform V0(t), across the
capacitor is correctly depict

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A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite
when it is fa

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If the potential energy between two molecules is given by
U = $$ - {A \over {{r^6}}} + {B \over {{r^{12}}}}$$,
then at e

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You are given that Mass of $${}_3^7Li$$ = 7.0160u,
Mass of $${}_2^4He$$ = 4.0026u
and Mass of $${}_1^1H$$ = 1.0079u.
Whe

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Shown in the figure is a hollow icecream cone (it is open at the top). If its mass is M, radius of its
top, R and height

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An electron is moving along +x direction with a velocity of 6 $$ \times $$ 106
ms–1. It enters a region of uniform
elec

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Identify the correct output signal Y in the given combination of gates (as shown) for the given
inputs A and B.

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A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the
tip of the hand (in uni

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In the figure below, P and Q are two equally intense coherent sources emitting radiation of
wavelength 20 m. The separat

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An insect is at the bottom of a hemispherical ditch of radius 1 m. It crawls up the ditch but starts
slipping after it i

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A point like object is placed at a distance of 1 m in front of a convex lens of focal length 0.5 m. A
plane mirror is pl

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An object of mass m is suspended at the end of a massless wire of length L and area of crosssection A. Young modulus of

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Molecules of an ideal gas are known to have three translational degrees of freedom and two
rotational degrees of freedom

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An AC circuit has R= 100 $$\Omega $$, C = 2 $$\mu $$F and L = 80 mH, connected in series. The quality factor of the
circ

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Two bodies of the same mass are moving with the same speed, but in different directions in a
plane. They have a complete

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A particle of charge q and mass m is moving with a velocity $$ - v\widehat i$$ (v $$ \ne $$ 0) towards a large screen
pl

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Charges Q1
and Q2
are at points A and B of a right angle triangle OAB (see figure). The resultant
electric field at po

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Suppose that intensity of a laser is $${{315} \over \pi }$$ W/m2. The rms electric field, in units of V/m associated
wit

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A sound source S is moving along a straight track with speed v, and is emitting, sound of frequency
v0
(see figure). An

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The density of a solid metal sphere is determined by measuring its mass and its diameter. The
maximum error in the densi

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Initially a gas of diatomic molecules is contained in a cylinder of volume V1
at a pressure P1
and
temperature 250 K.

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A part of a complete circuit is shown in the figure. At some instant, the value of current I is 1A and
it is decreasing

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