JEE Main 2020 (Online) 5th September Evening Slot

Paper was held on
Sat, Sep 5, 2020 9:30 AM

## Chemistry

The major product formed in the following reaction is :
CH3CH = CHCH(CH3)2 $$\buildrel {HBr} \over
\longrightarrow $$

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Hydrogen peroxide, in the pure state, is :

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Boron and silicon of very high purity can be obtained through :

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Among the following compounds, geometrical isomerism is exhibited by :

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The correct statement about probability density (except at infinite distance from nucleus) is :

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The following molecule acts as an :

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Adsorption of a gas follows Freundlich adsorption isotherm. If x is the mass of the gas adsorbed
on mass m of the adsorb

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The compound that has the largest H–M–H bond angle (M = N, O, S, C) is :

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The rate constant (k) of a reaction is measured at differenct temperatures (T), and the data are
plotted in the given fi

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The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution
is shown in the given f

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The final major product of the following reaction is :

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The major product of the following reaction is :

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Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol–1, and 4 kJ mol–1, respectively.
The hydration enthalpy

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Which one of the following polymers is not obtained by condensation polymerisation?

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Reaction of ammonia with excess Cl2
gives :

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An element crystallises in a face-centred cubic (fcc) unit cell with cell edge $$a$$. The distance
between the centres o

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Consider the complex ions,
trans-[Co(en)2Cl2]+ (A) and cis-[Co(en)2Cl2]+ (B).
The correct statement regarding them is :

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The correct order of the ionic radii of O2–, N3–, F–
, Mg2+, Na+ and Al3+ is :

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The increasing order of boiling points of the following compounds is :

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The one that is NOT suitable for the removal of permanent hardness of water is :

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For a reaction X + Y ⇌ 2Z , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L
vessel and allowed to react.

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The volume, in mL, of 0.02 M K2Cr2O7 solution
required to react with 0.288 g of ferrous
oxalate in acidic medium is ____

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Considering that $$\Delta $$0
> P, the magnetic moment (in BM) of [Ru(H2O)6]2+ would be _________.

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The number of chiral carbons present in
sucrose is _____.

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For a dimerization reaction,
2A(g) $$ \to $$ A2(g)
at 298 K, $$\Delta $$Uo
= –20 kJ mol–1, $$\Delta $$So
= –30
JK–1 mo

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## Mathematics

If a + x = b + y = c + z + 1, where a, b, c, x, y, z
are non-zero distinct real numbers, then
$$\left| {\matrix{
x &a

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The value of $${\left( {{{ - 1 + i\sqrt 3 } \over {1 - i}}} \right)^{30}}$$ is :

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If the sum of the second, third and fourth terms
of a positive term G.P. is 3 and the sum of its
sixth, seventh and eigh

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Which of the following points lies on the
tangent to the curve
x4ey + 2$$\sqrt {y + 1} $$ = 3 at the
point (1, 0)?

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Let y = y(x) be the solution of the differential
equation
cosx$${{dy} \over {dx}}$$ + 2ysinx = sin2x, x $$ \in $$ $$\lef

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If the mean and the standard deviation of the
data 3, 5, 7, a, b are 5 and 2 respectively, then
a and b are the roots of

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$$\mathop {\lim }\limits_{x \to 0} {{x\left( {{e^{\left( {\sqrt {1 + {x^2} + {x^4}} - 1} \right)/x}} - 1} \right)} \ove

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There are 3 sections in a question paper and
each section contains 5 questions. A candidate
has to answer a total of 5 q

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If x = 1 is a critical point of the function
f(x) = (3x2
+ ax – 2 – a)ex
, then :

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The derivative of
$${\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)$$ with respect to $${\tan ^{ - 1}

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If $$\alpha $$ and $$\beta $$ are the roots of the equation,
7x2 – 3x – 2 = 0, then the value of
$${\alpha \over {1 - {

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If the length of the chord of the circle,
x2 + y2 = r2
(r > 0) along the line, y – 2x = 3 is r,
then r2
is equal to

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If for some $$\alpha $$ $$ \in $$ R, the lines
L1 : $${{x + 1} \over 2} = {{y - 2} \over { - 1}} = {{z - 1} \over 1}$$ a

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The statement
$$\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)$$ i

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If
$$\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta $$ = A$${\log _e}\left| {B\left( \t

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If the system of linear equations
x + y + 3z = 0
x + 3y + k2z = 0
3x + y + 3z = 0
has a non-zero solution (x, y, z) for

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If L = sin2$$\left( {{\pi \over {16}}} \right)$$ - sin2$$\left( {{\pi \over {8}}} \right)$$ and
M = cos2$$\left( {{\pi

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If the line y = mx + c is a common tangent to
the hyperbola
$${{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1$$ and the

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If the sum of the first 20 terms of the series
$${\log _{\left( {{7^{1/2}}} \right)}}x + {\log _{\left( {{7^{1/3}}} \rig

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Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the
number of elements in the set C = {f : A $$ \to $$ B |
2 $$ \in $$ f(A)

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The area (in sq. units) of the region
A = {(x, y) : (x – 1)[x] $$ \le $$ y $$ \le $$ 2$$\sqrt x $$, 0 $$ \le $$ x $$ \l

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If the lines x + y = a and x – y = b touch the
curve y = x2
– 3x + 2 at the points where the
curve intersects the x-axi

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In a bombing attack, there is 50% chance that
a bomb will hit the target. Atleast two
independent hits are required to d

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The coefficient of x4
in the expansion of
(1 + x + x2
+ x3)6
in powers of x, is ______.

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Let the vectors $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$
be such that
$$\left| {\overrigh

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## Physics

A spaceship in space sweeps stationary
interplanetary dust. As a result, its mass
increases at a rate $${{dM\left( t \ri

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A ring is hung on a nail. It can oscillate, without
slipping or sliding (i) in its plane with a time
period T1 and, (ii)

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The quantities x = $${1 \over {\sqrt {{\mu _0}{\varepsilon _0}} }}$$, y = $${E \over B}$$ and z = $${l \over {CR}}$$ are

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Ten charges are placed on the circumference
of a circle of radius R with constant angular
separation between successive

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A driver in a car, approaching a vertical wall
notices that the frequency of his car horn, has
changed from 440 Hz to 48

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The correct match between the entries in
column I and column II are :
.tg {border-collapse:collapse;border-spacing:0;}

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Two different wires having lengths L1 and L2,
and respective temperature coefficient of linear
expansion $$\alpha $$1 an

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Two Zener diodes (A and B) having breakdown
voltages of 6 V and 4 V respectively, are
connected as shown in the circuit

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In the circuit, given in the figure currents in
different branches and value of one resistor are
shown. Then potential a

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A radioactive nucleus decays by two different
processes. The half life for the first process is
10 s and that for the se

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An iron rod of volume 10–3 m3 and relative
permeability 1000 is placed as core in a
solenoid with 10 turns/cm. If a curr

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In an adiabatic process, the density of a
diatomic gas becomes 32 times its initial value.
The final pressure of the gas

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The acceleration due to gravity on the earth’s
surface at the poles is g and angular velocity of
the earth about the axi

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A parallel plate capacitor has plate of length
'l', width ‘w’ and separation of plates is ‘d’. It
is connected to a batt

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A galvanometer is used in laboratory for
detecting the null point in electrical
experiments. If, on passing a current of

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The velocity (v) and time (t) graph of a body in
a straight line motion is shown in the figure.
The point S is at 4.333

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Two coherent sources of sound, S1 and S2,
produce sound waves of the same wavelength,
$$\lambda $$ = 1 m, in phase. S1 a

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In an experiment to verify Stokes law, a small
spherical ball of radius r and density $$\rho $$ falls
under gravity thro

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Nitrogen gas is at 300oC temperature. The
temperature (in K) at which the rms speed of a
H2 molecule would be equal to t

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A thin rod of mass 0.9 kg and length 1 m is
suspended, at rest, from one end so that it can
freely oscillate in the vert

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An infinitely long, straight wire carrying current
I, one side opened rectangular loop and a
conductor C with a sliding

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In the circuit shown, charge on the 5 $$\mu $$F
capacitor is :

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A prism of angle A = 1o has a refractive index
$$\mu $$ = 1.5. A good estimate for the minimum angle
of deviation (in de

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The surface of a metal is illuminated alternately
with photons of energies E1 = 4 eV and E2 = 2.5 eV
respectively. The r

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A body of mass 2 kg is driven by an engine
delivering a constant power of 1 J/s. The body
starts from rest and moves in

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