JEE Main 2020 (Online) 2nd September Morning Slot

Paper was held on
Wed, Sep 2, 2020 3:30 AM

## Chemistry

In Carius method of estimation of halogen,
0.172 g of an organic compound showed
presence of 0.08 g of bromine. Which of

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On heating compound (A) gives a gas (B) which
is a constituent of air. This gas when treated
with H2 in the presence of

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The major product in the following reaction is :

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For the following Assertion and Reason, the
correct option is
Assertion (A): When Cu (II) and sulphide ions
are mixed, t

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If AB4 molecule is a polar molecule, a possible
geometry of AB4 is

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The figure that is not a direct manifestation of
the quantum nature of atoms is :

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Consider the following rections:
'x', 'y' and 'z' in these reactions are respectively.

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An open beaker of water in equilibrium with
water vapour is in a sealed container. When a
few grams of glucose are added

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Which one of the following graphs is not
correct for ideal gas?
d = Density, P = Pressure, T = Temperature

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For octahedral Mn(II) and tetrahedral Ni(II)
complexes, consider the following statements:
(I) both the complexes can be

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Consider that a d6 metal ion (M2+) forms a
complex with aqua ligands, and the spin only
magnetic moment of the complex i

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Which of the following compunds will show
retention in configuration on nucleophilic
substitution by OH– ion?

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The IUPAC name for the following compound
is

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Which of the following is used for the
preparation of colloids?

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The statement that is not true about ozone is :

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While titrating dilute HCl solution with aqueous
NaOH, which of the following will not be
required?

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In general the property (magnitudes only) that
show an opposite trend in comparison to other
properties across a period

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The major aromatic product C in the following
reaction sequence will be :

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The metal mainly used in devising
photoelectric cells is :

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The increasing order of the following
compounds towards HCN addition is :

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The Gibbs change (in J) for the given reaction at
[Cu2+] = [Sn2+] = 1 M and 298K is :
Cu(s) + Sn2+(aq.) $$ \to $$ Cu2+(

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The mass of gas adsorbed, x, per unit mass of
adsorbate, m, was measured at various pressures,
p. A graph between $$\log

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The number of chiral carbons present in the
molecule given below is _____ .

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The oxidation states of iron atoms in
compounds (A), (B) and (C), respectively, are x,
y and z. The sum of x, y and z is

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The internal energy change (in J) When 90 g of
water undergoes complete evaporation at
100oC is ____________.
(Given : $

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## Mathematics

If |x| < 1, |y| < 1 and x $$ \ne $$ y, then the sum to infinity
of the following series
(x + y) + (x2+xy+y2) + (x3

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Let
$$\alpha $$ > 0,
$$\beta $$ > 0 be such that
$$\alpha $$3 + $$\beta $$2 = 4. If the
maximum value of the term

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If a function f(x) defined by
$$f\left( x \right) = \left\{ {\matrix{
{a{e^x} + b{e^{ - x}},} & { - 1 \le x <

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Box I contains 30 cards numbered 1 to 30 and
Box II contains 20 cards numbered 31 to 50. A
box is selected at random and

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Area (in sq. units) of the region outside
$${{\left| x \right|} \over 2} + {{\left| y \right|} \over 3} = 1$$ and inside

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Let S be the set of all $$\lambda $$ $$ \in $$ R for which the system
of linear equations
2x – y + 2z = 2
x – 2y +
$$\la

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Let A be a 2 $$ \times $$ 2 real matrix with entries from
{0, 1} and |A|
$$ \ne $$ 0. Consider the following two
stateme

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The contrapositive of the statement "If I reach the
station in time, then I will catch the train" is :

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Let y = y(x) be the solution of the differential
equation,
$${{2 + \sin x} \over {y + 1}}.{{dy} \over {dx}} = - \cos x$

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Let X = {x
$$ \in $$ N : 1
$$ \le $$ x
$$ \le $$ 17} and
Y = {ax + b: x
$$ \in $$ X and a, b $$ \in $$ R, a > 0}. If

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Let P(h, k) be a point on the curve
y = x2
+ 7x + 2, nearest to the line, y = 3x – 3.
Then the equation of the normal t

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The plane passing through the points (1, 2, 1),
(2, 1, 2) and parallel to the line, 2x = 3y, z = 1
also passes through t

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If the tangent to the curve y = x + sin y at a point
(a, b) is parallel to the line joining $$\left( {0,{3 \over 2}} \ri

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If R = {(x, y) : x, y
$$ \in $$ Z, x2 + 3y2
$$ \le $$ 8} is a relation
on the set of integers Z, then the domain of R–1

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Let
$$\alpha $$ and
$$\beta $$ be the roots of the equation
5x2 + 6x – 2 = 0. If Sn
=
$$\alpha $$n +
$$\beta $$n, n = 1

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The sum of the first three terms of a G.P. is S and
their product is 27. Then all such S lie in :

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A line parallel to the straight line 2x – y = 0 is
tangent to the hyperbola
$${{{x^2}} \over 4} - {{{y^2}} \over 2} = 1

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The domain of the function
f(x) = $${\sin ^{ - 1}}\left( {{{\left| x \right| + 5} \over {{x^2} + 1}}} \right)$$ is (–
$$

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The value of $${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\co

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If p(x) be a polynomial of degree three that has
a local maximum value 8 at x = 1 and a local
minimum value 4 at x = 2;

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The integral $$\int\limits_0^2 {\left| {\left| {x - 1} \right| - x} \right|dx} $$ is equal to______.

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Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three unit vectors such that
$${\left|

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If $$\mathop {\lim }\limits_{x \to 1} {{x + {x^2} + {x^3} + ... + {x^n} - n} \over {x - 1}}$$ = 820,
(n $$ \in $$ N) the

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The number of integral values of k for which
the line, 3x + 4y = k intersects the circle,
x2
+ y2
– 2x – 4y + 4 = 0 at

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If the letters of the word 'MOTHER' be permuted
and all the words so formed (with or without
meaning) be listed as in a

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## Physics

A plane electromagnetic wave, has frequency
of 2.0 $$ \times $$ 1010 Hz and its energy density is
1.02 $$ \times $$ 10–8

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A charged particle (mass m and charge q)
moves along X-axis with velocity V0. When it
passes through the origin it enter

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An amplitude modulated wave is represented
by the expression vm = 5(1 + 0.6 cos 6280t)
sin(211 × 104 t) volts
The minimu

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A cylindrical vessel containing a liquid is
rotated about its axis so that the liquid rises at
its sides as shown in the

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Interference fringes are observed on a screen
by illuminating two thin slits 1 mm apart with a
light source ($$\lambda $

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Two identical strings X and Z made of same
material have tension TX and TZ in them. If their
fundamental frequencies are

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A bead of mass m stays at point P(a, b) on a
wire bent in the shape of a parabola y = 4Cx2
and rotating with angular spe

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Shown in the figure is rigid and uniform one
meter long rod AB held in horizontal position by
two strings tied to its e

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A uniform cylinder of mass M and radius R is to
be pulled over a step of height a (a < R) by
applying a force F at it

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The least count of the main scale of a vernier
callipers is 1 mm. Its vernier scale is divided
into 10 divisions and coi

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If speed V, area A and force F are chosen as
fundamental units, then the dimension of
Young’s modulus will be

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Magnetic materials used for making permanent
magnets (P) and magnets in a transformer (T)
have different properties of t

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Train A and train B are running on parallel
tracks in the opposite directions with speeds of
36 km/hour and 72 km/hour,

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The mass density of a spherical galaxy varies
as
$${K \over r}$$ over a large distance ‘r’ from its centre.
In that regi

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A gas mixture consists of 3 moles of oxygen
and 5 moles of argon at temperature T.
Assuming the gases to be ideal and th

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A particle of mass m with an initial velocity $$u\widehat i$$
collides perfectly elastically with a mass 3 m at
rest. It

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Consider four conducting materials copper,
tungsten, mercury and aluminium with
resistivity $$\rho $$C, $$\rho $$T, $$\r

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In a reactor, 2 kg of 92U235 fuel is fully used up
in 30 days. The energy released per fission is
200 MeV. Given that th

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A spherical mirror is obtained as shown in the
figure from a hollow glass sphere. If an object
is positioned in front o

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A small block starts slipping down from a point
B on an inclined plane AB, which is making an angle $$\theta $$ with th

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An engine takes in 5 moles of air at 20oC and
1 atm, and compresses it adiabatically to
1/10th of the original volume. A

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A beam of protons with speed 4 × 105 ms–1
enters a uniform magnetic field of 0.3 T at an
angle of 60° to the magnetic fi

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When radiation of wavelength $$\lambda $$ is used to
illuminate a metallic surface, the stopping
potential is V. When th

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A circular coil of radius 10 cm is placed in a
uniform magnetic field of 3.0 $$ \times $$ 10–5 T with its
plane perpendi

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A 5 $$\mu $$F capacitor is charged fully by a 220 V
supply. It is then disconnected from the supply
and is connected in

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