JEE Main 2020 (Online) 2nd September Evening Slot

Paper was held on
Wed, Sep 2, 2020 9:30 AM

## Chemistry

Three elements X, Y and Z are in the 3rd period
of the periodic table. The oxides of X, Y and Z,
respectively, are basic

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The major product obtained from
E2 - elimination of 3-bromo-2-fluoropentane is

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Arrange the following labelled hydrogens in
decreasing order of acidity :

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Two elements A and B have similar chemical
properties. They don’t form solid
hydrogencarbonates, but react with nitrogen

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Cast iron is used for the manufacture of :

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Consider the reaction sequence given below:
Which of the following statements is true?

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The number of subshells associated with n = 4
and m = –2 quantum numbers is

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If you spill a chemical toilet cleaning liquid on
your hand, your first aid would be

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Simplified absorption spectra of three
complexes ((i), (ii) and (iii)) of Mn+ ion are
provided below; their $$\lambda $$

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The one that is not expected to show isomerism
is :

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The size of a raw mango shrinks to a much
smaller size when kept in a concentrated salt
solution. Which one of the follo

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Match the type of interaction in column A with
the distance dependence of their interaction
energy in column B
.tg {bo

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The results given in the below table were
obtained during kinetic studies of the following
reaction
2A + B $$ \to $$ C +

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The molecular geometry of SF6 is octahedral.
What is the geometry of SF4 (including lone
pair(s) of electrons, if any)?

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Two compounds A and B with same molecular
formula (C3H6O) undergo Grignard’s reaction
with methylmagnesium bromide to gi

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Amongst the following statements regarding
adsorption, those that are valid are
(a) $$\Delta $$H becomes less negative a

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An organic compound ‘A’ (C9H10O) when
treated with conc. HI undergoes cleavage to
yield compounds ‘B’ and ‘C’. ‘B’ gives

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The shape / structure of [XeF5]– and XeO3F2,
respectively, are

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The major product of the following reaction is :

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The correct observation in the following
reactions is :

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The work function of sodium metal is
4.41 $$ \times $$ 10–19 J. If photons of wavelength 300 nm
are incident on the meta

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The heat of combustion of ethanol into carbon
dioxide and water is – 327 kcal at constant
pressure. The heat evolved (in

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The oxidation states of transition metal atoms
in K2Cr2O7, KMnO4 and K2FeO4, respectively,
are x, y and z. The sum of x,

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For the disproportionation reaction
2Cu+(aq) ⇌ Cu(s) + Cu2+(aq) at 298 K. ln K
(where K is the equilibrium constant) is

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The ratio of the mass percentages of ‘C & H’
and ‘C & O’ of a saturated acyclic organic
compound ‘X’ are 4 : 1 a

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## Mathematics

The area (in sq. units) of an equilateral triangle
inscribed in the parabola y2 = 8x, with one of
its vertices on the ve

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Let n > 2 be an integer. Suppose that there are
n Metro stations in a city located along a
circular path. Each pair o

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Let f(x) be a quadratic polynomial such that
f(–1) + f(2) = 0. If one of the roots of f(x) = 0
is 3, then its other root

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Let f : R $$ \to $$ R be a function which satisfies
f(x + y) = f(x) + f(y) $$\forall $$ x, y $$ \in $$ R. If f(1) = 2 an

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If the equation cos4 $$\theta $$ + sin4 $$\theta $$ +
$$\lambda $$ = 0 has real
solutions for
$$\theta $$, then
$$\lambd

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Let a, b, c $$ \in $$ R be all non-zero and satisfy
a3 + b3 + c3 = 2. If the matrix
A = $$\left( {\matrix{
a & b

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Let f : (–1,
$$\infty $$)
$$ \to $$ R be defined by f(0) = 1 and
f(x) = $${1 \over x}{\log _e}\left( {1 + x} \right)$$,

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If the sum of first 11 terms of an A.P.,
a1, a2, a3, ....
is 0 (a $$ \ne $$ 0), then the sum of the A.P.,
a1
, a3
, a5
,

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The equation of the normal to the curve
y = (1+x)2y + cos
2(sin–1x) at x = 0 is :

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The imaginary part of
$${\left( {3 + 2\sqrt { - 54} } \right)^{{1 \over 2}}} - {\left( {3 - 2\sqrt { - 54} } \right)^{{1

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$$\mathop {\lim }\limits_{x \to 0} {\left( {\tan \left( {{\pi \over 4} + x} \right)} \right)^{{1 \over x}}}$$ is equal

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For some $$\theta \in \left( {0,{\pi \over 2}} \right)$$, if the eccentricity of the
hyperbola, x2–y2sec2$$\theta $$ =

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A plane passing through the point (3, 1, 1)
contains two lines whose direction ratios are 1,
–2, 2 and 2, 3, –1 respecti

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Which of the following is a tautology ?

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Let EC denote the complement of an event E.
Let E1
, E2
and E3
be any pairwise independent
events with P(E1) > 0
a

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Let A = {X = (x, y, z)T: PX = 0 and
x2 + y2 + z2 = 1} where
$$P = \left[ {\matrix{
1 & 2 & 1 \cr
{ - 2}

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Consider a region R = {(x, y) $$ \in $$ R : x2 $$ \le $$ y $$ \le $$ 2x}.
if a line y = $$\alpha $$ divides the area of

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If a curve y = f(x), passing through the point
(1, 2), is the solution of the differential equation,
2x2dy= (2xy + y2)dx

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Let S be the sum of the first 9 terms of the
series :
{x + k$$a$$} + {x2 + (k + 2)$$a$$} + {x3 + (k + 4)$$a$$}
+ {x4 + (

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The set of all possible values of
$$\theta $$ in the interval
(0, $$\pi $$) for which the points (1, 2) and (sin
$$\the

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If the variance of the terms in an increasing A.P., b1
, b2
, b3
,....,b11 is 90, then the common
difference of this A.P

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If y = $$\sum\limits_{k = 1}^6 {k{{\cos }^{ - 1}}\left\{ {{3 \over 5}\cos kx - {4 \over 5}\sin kx} \right\}} $$,
then $$

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Let [t] denote the greatest integer less than or
equal to t. Then the value of $$\int\limits_1^2 {\left| {2x - \left[ {3

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Let the position vectors of points 'A' and 'B' be
$$\widehat i + \widehat j + \widehat k$$ and $$2\widehat i + \widehat

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For a positive integer n,
$${\left( {1 + {1 \over x}} \right)^n}$$ is expanded
in increasing powers of x. If three conse

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## Physics

In a plane electromagnetic wave, the directions
of electric field and magnetic field are
represented by $$\widehat k$$ a

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When the temperature of a metal wire is
increased from 0oC to 10oC, its length
increases by 0.02%. The percentage change

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In a Young’s double slit experiment, 16 fringes
are observed in a certain segment of the
screen when light of a waveleng

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A heat engine is involved with exchange of heat
of 1915 J, – 40J, + 125 J and –Q J, during one
cycle achieving an effici

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An ideal gas in a closed container is slowly
heated. As its temperature increases, which of
the following statements are

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In a hydrogen atom the electron makes a
transition from (n + 1)th level to the nth level.
If n >> 1, the frequency

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If momentum (P), area (A) and time (T) are
taken to be the fundamental quantities then the
dimensional formula for energ

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The displacement time graph of a particle
executing S.H.M is given in figure :(sketch is
schematic and not to scale)
Wh

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The figure shows a region of length ‘l’ with a
uniform magnetic field of 0.3 T in it and a
proton entering the region wi

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An inductance coil has a reactance of 100 $$\Omega $$.
When an AC signal of frequency 1000 Hz is
applied to the coil, th

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A wire carrying current I is bent in the shape
ABCDEFA as shown, where rectangle ABCDA
and ADEFA are perpendicular to ea

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A 10 $$\mu $$F capacitor is fully charged to a potential
difference of 50 V. After removing the source
voltage it is con

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A particle is moving 5 times as fast as an
electron. The ratio of the de-Broglie wavelength
of the particle to that of t

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The height ‘h’ at which the weight of a body will
be the same as that at the same depth ‘h’ from
the surface of the eart

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A small point mass carrying some positive
charge on it, is released from the edge of a
table. There is a uniform electri

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A potentiometer wire PQ of 1 m length is
connected to a standard cell E1. Another cell E2
of emf 1.02 V is connected wit

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Two uniform circular discs are rotating
independently in the same direction around
their common axis passing through the

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A charge Q is distributed over two concentric
conducting thin spherical shells radii r and
R (R > r). If the surface

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In the following digital circuit, what will be the
output at ‘Z’, when the input (A, B) are (1, 0),
(0, 0), (1, 1,), (0,

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A capillary tube made of glass of radius 0.15
mm is dipped vertically in a beaker filled with
methylene iodide (surface

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A wire of density 9 $$ \times $$ 10–3 kg cm–3 is stretched
between two clamps 1 m apart. The resulting
strain in the wir

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A light ray enters a solid glass sphere of
refractive index $$\mu $$ = $$\sqrt 3 $$ at an angle of incidence
60o. The ra

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A particle of mass m is moving along the x-axis
with initial velocity $$u\widehat i$$. It collides elastically
with a pa

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A square shaped hole of side l = $${a \over 2}$$ is carved
out at a distance d = $${a \over 2}$$ from the centre ‘O’ of

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An ideal cell of emf 10 V is connected in circuit
shown in figure. Each resistance is 2 $$\Omega $$. The
potential diffe

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