JEE Main 2020 (Online) 9th January Morning Slot

Paper was held on
Thu, Jan 9, 2020 3:30 AM

## Chemistry

Identify (A) in the following reaction sequence :

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For the following reactions
$$A\buildrel {700K} \over
\longrightarrow {\mathop{\rm Product}\nolimits} $$
$$A\mathrel{\m

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The correct order of heat of combustion for
following alkadienes is :

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The Ksp for the following dissociation is
1.6 × 10–5
$$PbC{l_{2(s)}} \leftrightharpoons Pb_{(aq)}^{2 + } + 2Cl_{(aq)}^ -

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[Pd(F)(Cl)(Br)(I)]2– has n number of
geometrical isomers. Then, the spin-only
magnetic moment and crystal field stabilis

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If the magnetic moment of a dioxygen species
is 1.73 B.M, it may be :

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According to the following diagram, A reduces
BO2 when the temperature is :

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A chemist has 4 samples of artificial sweetener
A, B, C and D. To identify these samples, he
performed certain experimen

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'X' melts at low temperature and is a bad
conductor of electricity in both liquid and solid
state. X is :

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If enthalpy of atomisation for Br2(1) is x kJ/mol
and bond enthalpy for Br2 is y kJ/mol, the
relation between them :

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The increasing order of basicity for the
following intermediates is (from weak to
strong)

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B has a smaller first ionization enthalpy than
Be. Consider the following statements :
(I) It is easier to remove 2p ele

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The acidic, basic and amphoteric oxides,
respectively, are :

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The major product Z obtained in the following
reaction scheme is :

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Which of these will produce the highest yield
in Friedel Crafts reaction?

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The compound that cannot act both as oxidising
and reducing agent is :

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Complex X of composition Cr(H2O)6Cln
has a spin only magnetic moment of 3.83
BM. It reacts with AgNO3 and shows
geometri

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The major product (Y) in the following
reactions is :

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The de Broglie wavelength of an electron in the
4th Bohr orbit is :

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The electronic configurations of bivalent
europium and trivalent cerium are
(atomic number : Xe = 54, Ce = 58, Eu = 63)

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The hardness of a water sample containing
10–3 M MgSO4 expressed as CaCO3 equivalents
(in ppm) is ______.
(molar mass of

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The molarity of HNO3 in a sample which has
density 1.4 g/mL and mass percentage of 63%
is _____.
(Molecular Weight of H

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108 g of silver (molar mass 108 g mol–1) is
deposited at cathode from AgNO3(aq) solution
by a certain quantity of electr

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The mass percentage of nitrogen in histamine is _____.

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How much amount of NaCl should be added
to 600 g of water ($$\rho $$ = 1.00 g/mL) to decrease
the freezing point of wate

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## Mathematics

If the number of five digit numbers with distinct
digits and 2 at the 10th place is 336 k, then k
is equal to :

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A spherical iron ball of 10 cm radius is
coated with a layer of ice of uniform
thickness the melts at a rate of 50 cm3/m

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Let z be complex number such that
$$\left| {{{z - i} \over {z + 2i}}} \right| = 1$$ and |z| = $${5 \over 2}$$. Then the

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In a box, there are 20 cards, out of which 10
are lebelled as A and the remaining 10 are
labelled as B. Cards are drawn

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The value of
$$\int\limits_0^{2\pi } {{{x{{\sin }^8}x} \over {{{\sin }^8}x + {{\cos }^8}x}}} dx$$ is equal to :

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If ƒ'(x) = tan–1(secx + tanx), $$ - {\pi \over 2} < x < {\pi \over 2}$$,
and
ƒ(0) = 0, then ƒ(1) is equal to :

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If the matrices A = $$\left[ {\matrix{
1 & 1 & 2 \cr
1 & 3 & 4 \cr
1 & { - 1} & 3

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The number of real roots of the equation,
e4x + e3x – 4e2x + ex + 1 = 0 is :

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Negation of the statement :
$$\sqrt 5 $$ is an integer or 5 is an irrational is :

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The product $${2^{{1 \over 4}}}{.4^{{1 \over {16}}}}{.8^{{1 \over {48}}}}{.16^{{1 \over {128}}}}$$ ... to $$\infty $$ is

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Let the observations xi (1 $$ \le $$ i $$ \le $$ 10) satisfy the
equations, $$\sum\limits_{i = 1}^{10} {\left( {{x_1} -

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A circle touches the y-axis at the point (0, 4)
and passes through the point (2, 0). Which of
the following lines is not

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If e1 and e2 are the eccentricities of the ellipse,
$${{{x^2}} \over {18}} + {{{y^2}} \over 4} = 1$$ and the hyperbola,

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If for all real triplets (a, b, c), ƒ(x) = a + bx + cx2;
then $$\int\limits_0^1 {f(x)dx} $$ is equal to :

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The value of
$${\cos ^3}\left( {{\pi \over 8}} \right)$$$${\cos}\left( {{3\pi \over 8}} \right)$$+$${\sin ^3}\left( {{

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Let ƒ be any function continuous on [a, b] and
twice differentiable on (a, b). If for all x $$ \in $$ (a, b),
ƒ'(x) >

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Let C be the centroid of the triangle with
vertices (3, –1), (1, 3) and (2, 4). Let P be the
point of intersection of th

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If $$f(x) = \left\{ {\matrix{
{{{\sin (a + 2)x + \sin x} \over x};} & {x < 0} \cr
{b\,\,\,\,\,\,\,\,\,\,\

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The integral $$\int {{{dx} \over {{{(x + 4)}^{{8 \over 7}}}{{(x - 3)}^{{6 \over 7}}}}}} $$ is equal to :
(where C is a c

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The number of distinct solutions of the equation
$${\log _{{1 \over 2}}}\left| {\sin x} \right| = 2 - {\log _{{1 \over

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If for some $$\alpha $$ and $$\beta $$ in R, the intersection of the
following three places
x + 4y – 2z = 1
x + 7y – 5z

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The coefficient of x4 is the expansion of
(1 + x + x2)10 is _____.

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If for x $$ \ge $$ 0, y = y(x) is the solution of the
differential equation
(x + 1)dy = ((x + 1)2 + y – 3)dx, y(2) = 0,

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If the vectors, $$\overrightarrow p = \left( {a + 1} \right)\widehat i + a\widehat j + a\widehat k$$,
$$\overrightarro

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The projection of the line segment joining the
points (1, –1, 3) and (2, –4, 11) on the line
joining the points (–1, 2,

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## Physics

A quantity f is given by $$f = \sqrt {{{h{c^5}} \over G}} $$ where c is
speed of light, G universal gravitational
consta

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A long, straight wire of radius a carries a current
distributed uniformly over its cross-section. The
ratio of the magne

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The electric fields of two plane electromagnetic
plane waves in vacuum are given by
$$\overrightarrow {{E_1}} = {E_0}\w

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Consider a sphere of radius R which carries a
uniform charge density $$\rho $$. If a sphere of radius $${{R \over 2}}$$

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A body A of mass m is moving in a circular orbit
of radius R about a planet. Another body B of
mass
$${m \over 2}$$
coll

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Consider a force $$\overrightarrow F = - x\widehat i + y\widehat j$$
. The work done
by this force in moving a particl

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A particle moving with kinetic energy E has
de Broglie wavelength $$\lambda $$. If energy $$\Delta $$E is added
to its e

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Consider two ideal diatomic gases A and B at
some temperature T. Molecules of the gas A are
rigid, and have a mass m. Mo

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If the screw on a screw-gauge is given six
rotations, it moves by 3 mm on the main scale.
If there are 50 divisions on t

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A vessel of depth 2h is half filled with a liquid
of refractive index $$2\sqrt 2 $$ and the upper half with
another liqu

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The aperture diameter of a telescope is 5m. The
separation between the moon and the earth is
4 × 105 km. With light of w

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Radiation, with wavelength 6561 $$\mathop A\limits^o $$ falls on a
metal surface to produce photoelectrons. The
electron

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Two particles of equal mass m have respective
initial velocities $$u\widehat i$$ and $$u\left( {{{\widehat i + \widehat

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In the given circuit diagram, a wire is joining
points B and D. The current in this wire is :

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Which of the following is an equivalent cyclic
process corresponding to the thermodynamic cyclic
given in the figure ? w

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A charged particle of mass 'm' and charge 'q'
moving under the influence of uniform electric
field $$E\overrightarrow i

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Three harmonic waves having equal frequency
$$\nu $$ and same intensity $${I_0}$$, have phase angles 0, $${\pi \over 4}

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An electric dipole of moment
$$\overrightarrow p = \left( { - \widehat i - 3\widehat j + 2\widehat k} \right) \times {1

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Three solid spheres each of mass m and
diameter d are stuck together such that the lines
connecting the centres form an

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Water flows in a horizontal tube (see figure).
The pressure of water changes by 700 Nm–2
between A and B where the area

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One end of a straight uniform 1m long bar is
pivoted on horizontal table. It is released from
rest when it makes an angl

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In a fluorescent lamp choke (a small
transformer) 100 V of reverse voltage is
produced when the choke current changes
un

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The distance x covered by a particle in one
dimensional motion varies with time t as
x2 = at2 + 2bt + c. If the accelera

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A body of mass m = 10 kg is attached to one
end of a wire of length 0.3 m. The maximum
angular speed (in rad s–1) with w

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Both the diodes used in the circuit shown are
assumed to be ideal and have negligible
resistance when these are forward

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