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 :

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

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

View Question The third ionization enthalpy is minimum for :

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

View Question The most suitable reagent for the given conversion is :

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

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

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

View Question The major product of the following reaction is :

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

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

View Question 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}}

View Question Which of the following statement is not true for glucose?

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

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

View Question 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 __

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

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

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

View Question ## Mathematics

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

View Question 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

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

View Question 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

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

View Question 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

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

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

View Question 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

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

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

View Question 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

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

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

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

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

View Question 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

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

View Question 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

View Question ## Physics

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

View Question 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

View Question 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

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

View Question