JEE Main 2020 (Online) 8th January Morning Slot

Paper was held on
Wed, Jan 8, 2020 3:30 AM

## Chemistry

The complex that can show fac- and mer-isomers is :

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Arrange the following compounds in increasing order of C–OH bond length : methanol, phenol,
p-ethoxyphenol

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Among the gases (a) – (e), the gases that cause greenhouse effect are :
(a) CO2
(b) H2O
(c) CFCs
(d) O2
(e) O3

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A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below :
The following infer

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The third ionization enthalpy is minimum for :

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When gypsum is heated to 393 K, it forms :

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The major products A and B in the following reactions are :

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As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the
order :

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The most suitable reagent for the given conversion is :

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The predominant intermolecular forces present in ethyl acetate, a liquid, are:

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The stoichiometry and solubility product of a salt with the solubility curve given below is, respectively :

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The major product of the following reaction is :

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A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63oC while the
other boils at 6

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The rate of a certain biochemical reaction at physiological temperature (T) occurs 106 times faster with
enzyme than wit

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The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that
an appropria

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For the Balmer series in the spectrum of H atom,
$$\overline \nu = {R_H}\left\{ {{1 \over {n_1^2}} - {1 \over {n_2^2}}

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The number of bonds between sulphur and oxygen atoms in
S2O82- and the number of bonds between sulphur
and sulphur atoms

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Which of the following statement is not true for glucose?

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The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are :

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The decreasing order of reactivity towards dehydrohalogenation (E1) reaction of the following compounds is :

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The volume (in mL) of 0.125 M AgNO3 required to quantitatively precipitate chloride ions in 0.3 g of
[Co(NH3)6]Cl3 is __

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The number of chiral centres in penicillin is _________.

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What would be the electrode potential for the given half cell reaction at pH = 5?
______.
2H2O $$ \to $$ O2 + 4H$$ \oplu

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Ferrous sulphate heptahydrate is used to fortify foods with iron. The amount (in grams) of the salt required to
achieve

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The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in
the figure is ____

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## Mathematics

If a, b and c are the greatest value of 19Cp, 20Cq
and 21Cr respectively, then :

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Let the line y = mx and the ellipse 2x2 + y2 = 1
intersect at a ponit P in the first quadrant. If the
normal to this ell

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Let ƒ : R $$ \to $$ R be such that for all
x $$ \in $$ R (21+x + 21–x), ƒ(x) and (3x + 3–x) are in
A.P., then the minim

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Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1.
If $${{dy} \over {dx}} = {1 \over 2}{d \over {dx}}\left( {{{\si

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$$\mathop {\lim }\limits_{x \to 0} {\left( {{{3{x^2} + 2} \over {7{x^2} + 2}}} \right)^{{1 \over {{x^2}}}}}$$ is equal t

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Let the volume of a parallelopiped whose
coterminous edges are given by
$$\overrightarrow u = \widehat i + \widehat j +

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Let y = y(x) be a solution of the differential
equation,
$$\sqrt {1 - {x^2}} {{dy} \over {dx}} + \sqrt {1 - {y^2}} = 0$

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Let two points be A(1, –1) and B(0, 2). If a point
P(x', y') be such that the area of $$\Delta $$PAB = 5 sq.
units and i

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If the equation, x2 + bx + 45 = 0 (b $$ \in $$ R) has
conjugate complex roots and they satisfy
|z +1| = 2$$\sqrt {10} $$

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The mean and the standard deviation (s.d.) of
10 observations are 20 and 2 resepectively.
Each of these 10 observations

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For a > 0, let the curves C1 : y2 = ax and
C2 : x2 = ay intersect at origin O and a point P.
Let the line x = b (0 &l

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Which one of the following is a tautology?

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For which of the following ordered pairs ($$\mu $$, $$\delta $$),
the system of linear equations
x + 2y + 3z = 1
3x + 4y

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If c is a point at which Rolle's theorem holds
for the function,
f(x) = $${\log _e}\left( {{{{x^2} + \alpha } \over {7x}

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The locus of a point which divides the line
segment joining the point (0, –1) and a point on
the parabola, x2 = 4y, inte

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Let A and B be two independent events such
that P(A) = $${1 \over 3}$$ and P(B) = $${1 \over 6}$$. Then, which of
the fo

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If $$\int {{{\cos xdx} \over {{{\sin }^3}x{{\left( {1 + {{\sin }^6}x} \right)}^{2/3}}}}} = f\left( x \right){\left( {1

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The inverse function of
f(x) = $${{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}$$, x $$ \in $$ (-1, 1), is :

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The shortest distance between the lines
$${{x - 3} \over 3} = {{y - 8} \over { - 1}} = {{z - 3} \over 1}$$ and
$${{x + 3

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Let ƒ(x) = xcos–1(–sin|x|), $$x \in \left[ { - {\pi \over 2},{\pi \over 2}} \right]$$, then
which of the following is

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The number of all 3 × 3 matrices A, with
enteries from the set {–1, 0, 1} such that the sum
of the diagonal elements of

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The least positive value of 'a' for which the
equation 2x2 + (a – 10)x + $${{33} \over 2}$$
= 2a has real
roots is

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The sum $$\sum\limits_{k = 1}^{20} {\left( {1 + 2 + 3 + ... + k} \right)} $$ is :

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Let the normal at a point P on the curve
y2 – 3x2 + y + 10 = 0 intersect the y-axis at $$\left( {0,{3 \over 2}} \right)$

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An urn contains 5 red marbles, 4 black marbles
and 3 white marbles. Then the number of ways
in which 4 marbles can be dr

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## Physics

Consider a solid sphere of radius R and mass
density $$\rho \left( r \right) = {\rho _0}\left( {1 - {{{r^2}} \over {{R^2

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Consider a uniform rod of mass M = 4m and
length $$\ell $$ pivoted about its centre. A mass m
moving with velocity v mak

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When photon of energy 4.0 eV strikes the
surface of a metal A, the ejected photoelectrons
have maximum kinetic energy TA

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Photon with kinetic energy of 1MeV moves
from south to north. It gets an acceleration of
1012 m/s2 by an applied magneti

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The coordinates of centre of mass of a uniform
flag shaped lamina (thin flat plate) of mass 4kg.
(The coordinates of the

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The plot that depicts the behavior of the mean
free time t (time between two successive
collisions) for the molecules of

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Consider two solid spheres of radii R1 = 1m,
R2 = 2m and masses M1 and M2, respectively.
The gravitational field due to

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In finding the electric field using Gauss Law
the formula $$\left| {\overrightarrow E } \right| = {{{q_{enc}}} \over {{\

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A thermodynamic cycle xyzx is shown on a V-T diagram.
The P-V diagram that best describes this cycle
is : (Diagrams are

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The length of a potentiometer wire is 1200 cm
and it carries a current of 60 mA. For a cell of
emf 5V and internal resis

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The dimension of stopping potential V0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and

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The magnifying power of a telescope with tube
60 cm is 5. What is the focal length of its eye
piece ?

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At time t = 0 magnetic field of 1000 Gauss is
passing perpendicularly through the area
defined by the closed loop shown

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The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeab

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Three charged particle A, B and C with charges
–4q, 2q and –2q are present on the
circumference of a circle of radius d.

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Boolean relation at the output stage-Y for the
following circuit is :

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The graph which depicts the results of
Rutherford gold foil experiment with
$$\alpha $$-particales is :
$$\theta $$ : Sc

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A leak proof cylinder of length 1m, made of
a metal which has very low coefficient of
expansion is floating vertically i

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A particle of mass m is fixed to one end of a
light spring having force constant k and
unstretched length $$\ell $$. The

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Four resistances of 15$$\Omega $$, 12$$\Omega $$, 4$$\Omega $$ and 10$$\Omega $$
respectively in cyclic order to form
Wh

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Effective capacitance of parallel combination
of two capacitors C1 and C2 is 10 μF. When
these capacitors are individual

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A body A, of mass m = 0.1 kg has an initial
velocity of 3$$\widehat i$$ ms-1 . It collides elastically with
another body

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A point object in air is in front of the curved
surface of a plano-convex lens. The radius of
curvature of the curved su

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A one metre long (both ends open) organ pipe
is kept in a gas that has double the density of
air at STP. Assuming the sp

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A particle is moving along the x-axis with its
coordinate with the time 't' given be x(t) = 10 + 8t – 3t2. Another parti

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