JEE Main 2020 (Online) 4th September Evening Slot

Paper was held on
Fri, Sep 4, 2020 9:30 AM

## Chemistry

Among the following compounds, which one
has the shortest C – Cl bond?

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The processes of calcination and roasting in
metallurgical industries, respectively, can Iead
to :

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The incorrect statement(s) among (a) - (c) is
(are)
(a) W(VI) is more stable than Cr(VI).
(b) In the presence of HCl, pe

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The process that is NOT endothermic in nature
is :

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The Crystal Field Stabilization Energy
(CFSE) of [CoF3(H2O)3] ($$\Delta $$0 < P) is :

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In the following reaction sequence, [C] is :

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The one that can exhibit highest paramagnetic
behaviour among the following is :
gly = glycinato; bpy = 2, 2'-bipyridine

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The reaction in which the hybridisation of the
underlined atom is affected is :

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If the equilibrium constant for A ⇌ B + C is $$K_{eq}^{(1)}$$ and that of
B + C ⇌ P is $$K_{eq}^{(2)}$$, the equilibrium

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An alkaline earth metal ‘M’ readily forms water
soluble sulphate and water insoluble hydroxide.
Its oxide MO is very sta

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The major product [B] in the following
reactions is :

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Five moles of an ideal gas at 1 bar and 298 K
is expanded into vacuum to double the volume.
The work done is :

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The shortest wavelength of H atom in the
Lyman series is $$\lambda $$1. The longest wavelength in
the Balmar series of H

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250 mL of a waste solution obtained from the
workshop of a goldsmith contains 0.1 M AgNO3
and 0.1 M AuCl. The solution w

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The major product [C] of the following reaction
sequence will be :

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A sample of red ink (a colloidal suspension) is
prepared by mixing eosin dye, egg white, HCHO
and water. The component w

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The molecule in which hybrid MOs involve only
one d-orbital of the central atom is :

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The major product [R] in the following
sequence of reactions as :

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Which of the following compounds will form the
precipitate with aq. AgNO3 solution most
readily?

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The mechanism of action of ''Terfenadine''
(Seldane) is :

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Consider the following equations :
2Fe2+ + H2O2 $$ \to $$ xA + yB
(in basic medium)
2MnO4- + 6H+ + 5H2O2 $$ \to $$ x'C

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The number of chiral centres present in
threonine is ________.

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The number of molecules with energy greater
than the threshold energy for a reaction
increases five fold by a rise of te

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The osmotic pressure of a solution of NaCl is
0.10 atm and that of a glucose solution is
0.20 atm. The osmotic pressure

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A 100 mL solution was made by adding 1.43 g
of Na2CO3.xH2O. The normality of the solution
is 0.1 N. The value of x is __

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## Mathematics

If a and b are real numbers such that $${\left( {2 + \alpha } \right)^4} = a + b\alpha $$ where $$\alpha = {{ - 1 + i\s

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Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations, Ax = b when the vector b on the r

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The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to the line $${x \over 2} = {y \over

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If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3) has y-intercept equal to –4, th

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Contrapositive of the statement :
‘If a function f is differentiable at a, then it is also continuous at a’, is:

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The minimum value of 2sinx + 2cosx is:

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Let $$f:\left( {0,\infty } \right) \to \left( {0,\infty } \right)$$ be a differentiable function such that f(1) = e and

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The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie

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The integral $$\int\limits_{{\pi \over 6}}^{{\pi \over 3}} {{{\tan }^3}x.{{\sin }^2}3x\left( {2{{\sec }^2}x.{{\sin }^2

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If the system of equations
x+y+z=2
2x+4y–z=6
3x+2y+$$\lambda $$z=$$\mu $$
has infinitely many solutions, then

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In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on t

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The function $$f(x) = \left\{ {\matrix{
{{\pi \over 4} + {{\tan }^{ - 1}}x,} & {\left| x \right| \le 1} \cr

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If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1 + x)n + 5 ar

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The solution of the differential equation
$${{dy} \over {dx}} - {{y + 3x} \over {{{\log }_e}\left( {y + 3x} \right)}} +

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Let $$\lambda \ne 0$$ be in R. If $$\alpha $$ and $$\beta $$ are the roots of the equation, x2 - x + 2$$\lambda $$ = 0

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Let $$\mathop \cup \limits_{i = 1}^{50} {X_i} = \mathop \cup \limits_{i = 1}^n {Y_i} = T$$ where each Xi contains 10

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The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the i

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Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is $${1 \over 2}$$. If P(1, $$

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Let a1, a2, ..., an be a given A.P. whose common difference is an integer and Sn = a1 + a2 + .... + an. If a1 = 1, an =

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The circle passing through the intersection of the circles, x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on

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Let {x} and [x] denote the fractional part of x and the greatest integer $$ \le $$ x respectively of a real number x. If

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Let PQ be a diameter of the circle x2 + y2 = 9. If $$\alpha $$ and $$\beta $$ are the lengths of the perpendiculars from

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If $$\overrightarrow a = 2\widehat i + \widehat j + 2\widehat k$$, then the value of
$${\left| {\widehat i \times \lef

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If the variance of the following frequency
distribution :
Class : 10–20

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A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The numb

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## Physics

A circular coil has moment of inertia 0.8 kg m2
around any diameter and is carrying current to
produce a magnetic momen

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A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a
distance of 15 m. Ther

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A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a
resistive force mkv2
wh

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The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes
from 420 Hz to 490 Hz wh

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Match the thermodynamic processes taking place in a system with the correct conditions. In the
table : $$\Delta $$Q is t

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Consider two uniform discs of the same thickness and different radii R1
= R and R2
= $$\alpha $$R made of
the same mat

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A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then
the time at which

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The electric field of a plane electromagnetic wave is given by
$$\overrightarrow E = {E_0}\left( {\widehat x + \widehat

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A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the
length of the side of the

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A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external
magnetic field of 0.4 T at a t

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A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the
orbit can be taken to

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A particle of charge q and mass m is subjected to an electric field E = E0
(1 – $$a$$x2) in the x-direction,
where $$a$

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A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected
in parallel with

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Find the Binding energy per neucleon for $${}_{50}^{120}Sn$$. Mass of proton mp
= 1.00783 U, mass of neutron
mn
= 1.00

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Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density
d. The area of the

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For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes
perpendicular to the

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The value of current i1
flowing from A to C in the circuit diagram is :

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The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by
the particle during

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A quantity x is given by $$\left( {{{IF{v^2}} \over {W{L^4}}}} \right)$$ in terms of moment of inertia I, force F, veloc

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Four resistances 40 $$\Omega $$, 60 $$\Omega $$, 90 $$\Omega $$ and 110 $$\Omega $$ make the arms of a quadrilateral ABC

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Identify the operation performed by the circuit given below :

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In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength
obtained is show

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The change in the magnitude of the volume of an ideal gas when a small additional pressure $$\Delta $$P is
applied at a

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Orange light of wavelength 6000 $$ \times $$ 10–10 m illuminates a single slit of width 0.6 $$ \times $$ 10–4 m. The
max

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The distance between an object and a screen is 100 cm. A lens can produce real image of the
object on the screen for two

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