JEE Main 2020 (Online) 8th January Evening Slot

Among the compounds A and B with
molecular formula C9H18O3 , A is having higher
boiling point the B. The possible structures of
A and B are :

An unsaturated hydrocarbon X absorbs two
hydrogen molecules on catalytic hydrogenation and also gives following reaction :

B(3 - oxo - hexanedicarboxylic acid) X will be :-

Kjeldahl's method cannot be used to estimate
nitrogen for which of the following
compounds?

Two monomers in maltose are :

Arrange the following bonds according to their
average bond energies in descending order :
C–Cl, C–Br, C–F, C–I

Consider the following plots of rate constant
versus \({1 \over T}\) for four different reactions. Which
of the following orders is correct for the
activation energies of these reactions?

The correct order of the calculated spin-only
magnetic moments of complexs (A) to (D) is:
(A) Ni(CO)4
(B) [Ni(H2O)6]Cl2
(C) Na2[Ni(CN)4]
(D) PdCl2(PPh3)2

Complexes (ML5) of metals Ni and Fe have
ideal square pyramidal and trigonal
bipyramidal grometries, respectively. The sum
of the 90°, 120° and 180° L-M-L angles in the
two complexes is ________.

Among (a) – (d) the complexes that can display
geometrical isomerism are :
(a) [Pt(NH3)3Cl]+
(b) [Pt(NH3)Cl5]–
(c) [Pt(NH3)2Cl(NO2)]
(d) [Pt(NH3)4ClBr]2+

For an electrochemical cell
Sn(s) | Sn2+ (aq,1M)||Pb2+ (aq,1M)|Pb(s)
the ratio \({{\left[ {S{n^{2 + }}} \right]} \over {\left[ {P{b^{2 + }}} \right]}}\) when this cell attains
equilibrium is _________.

(Given $$E_{S{n^{2 + }}|Sn}^0 = - 0....

NaClO3 is used, even in spacecrafts, to produce
O2. The daily consumption of pure O2 by a
person is 492L at 1 atm, 300K. How much
amount of NaClO3, in grams, is required to
produce O2 for the daily consumption of a
person at 1 atm, 300 K?
N...

In the following sequence of reactions the
maximum number of atoms present in
molecule 'C' in one plane is _________.

(A is a lowest molecular weight alkyne)

The major product in the following reaction is:

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

For the following Assertion and Reason, the
correct option is :
Assertion : The pH of water increases with
increase in temperature.
Reason : The dissociation of water into H+ and
OH– is an exothermic reaction.

Among the reactions (a) - (d), the reaction(s)
that does/do not occur in the blast furnace
during the extraction of iron is/are :
(a) CaO + SiO2 \(\to\) CaSiO3
(b) 3Fe2O3 + CO \(\to\) 2Fe3O4 + CO2
(c) FeO + SiO2 \(\to\) FeSiO3
(d) FeO...

A metal (A) on heating in nitrogen gas gives
compound B. B on treatment with H2O gives
a colourless gas which when passed through
CuSO4 solution gives a dark blue-violet
coloured solution. A and B respectively, are :

White Phosphorus on reaction with concentrated
NaOH solution in an inert atmosphere of CO2
gives phosphine and compound (X). (X) on
acidification with HCl gives compound (Y). The
basicity of compound (Y) is :

The increasing order of the atomic radii of the
following elements is :-
(a) C (b) O (c) F (d) Cl
(e) Br

Preparation of Bakelite proceeds via reactions.

Which of the following compounds is likely to
show both Frenkel and Schottky defects in its
crystalline form?

Hydrogen has three isotopes (A), (B) and (C).
If the number of neutron(s) in (A), (B) and (C)
respectively, are (x), (y) and (z), the sum of (x),
(y) an (z) is :

The radius of the second Bohr orbit, in terms
of the Bohr radius, a0, in Li2+ is :

For the following Assertion and Reason, the
correct option is
Assertion : For hydrogenation reactions, the
catalytic activity increases from Group 5 to
Group 11 metals with maximum activity shown
by Group 7-9 elements.
Reason : The reactant...

At constant volume, 4 mol of an ideal gas when
heated from 300 K to 500K changes its internal
energy by 5000 J. The molar heat capacity at
constant volume is _______.

The mirror image of the point (1, 2, 3) in a plane
is \(\left( { - {7 \over 3}, - {4 \over 3}, - {1 \over 3}} \right)\). Which of the following
points lies on this plane ?

Let ƒ(x) be a polynomial of degree 3 such that
ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point
at x = –1 and ƒ'(x) has a critical point at x = 1.
Then ƒ(x) has a local minima at x = _______.

The length of the perpendicular from the origin,
on the normal to the curve, x2 + 2xy – 3y2 = 0
at the point (2,2) is

The area (in sq. units) of the region
{(x,y) \(\in\) R2 : x2 \(\le\) y \(\le\) 3 – 2x}, is :

If \(\alpha\) and \(\beta\) be the coefficients of x4 and x2
respectively in the expansion of
\({\left( {x + \sqrt {{x^2} - 1} } \right)^6} + {\left( {x - \sqrt {{x^2} - 1} } \right)^6}\), then

If a line, y = mx + c is a tangent to the circle,
(x – 3)2 + y2 = 1 and it is perpendicular to a line L1, where L1 is the tangent to the circle, x2 + y2 = 1 at the point \(\left( {{1 \over {\sqrt 2 }},{1 \over {\sqrt 2 }}} \right)\), then :

\(\mathop {\lim }\limits_{x \to 0} {{\int_0^x {t\sin \left( {10t} \right)dt} } \over x}\) is equal to

If \(I = \int\limits_1^2 {{{dx} \over {\sqrt {2{x^3} - 9{x^2} + 12x + 4} }}}\), then :

The differential equation of the family of
curves, x2 = 4b(y + b), b \(\in\) R, is :

Let ƒ : (1, 3) \(\to\) R be a function defined by
\(f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}\) , where [x] denotes the greatest
integer \(\le\) x. Then the range of ƒ is

If a hyperbola passes through the point
P(10, 16) and it has vertices at (± 6, 0), then the
equation of the normal to it at P is :

Let S be the set of all functions ƒ : [0,1] \(\to\) R,
which are continuous on [0,1] and differentiable
on (0,1). Then for every ƒ in S, there exists a
c \(\in\) (0,1), depending on ƒ, such that

Which of the following statements is a tautology?

The system of linear equations
\(\lambda\)x + 2y + 2z = 5
2\(\lambda\)x + 3y + 5z = 8
4x + \(\lambda\)y + 6z = 10 has

If \(A = \left( {\matrix{ 2 & 2 \cr 9 & 4 \cr } } \right)\) and \(I = \left( {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right)\) then 10A–1 is
equal to :

Let a line y = mx (m > 0) intersect the parabola,
y2 = x at a point P, other than the origin. Let
the tangent to it at P meet the x-axis at the point
Q. If area (\(\Delta\)OPQ) = 4 sq. units, then m is equal
to __________.

The number of 4 letter words (with or without
meaning) that can be formed from the eleven
letters of the word 'EXAMINATION' is
_______.

Let A and B be two events such that the
probability that exactly one of them occurs is \({2 \over 5}\) and the probability that A or B occurs is \({1 \over 2}\) ,
then the probability of both of them occur
together is :

Let \(\alpha = {{ - 1 + i\sqrt 3 } \over 2}\). If \(a = \left( {1 + \alpha } \right)\sum\limits_{k = 0}^{100} {{\alpha ^{2k}}}\) and \(b = \sum\limits_{k = 0}^{100} {{\alpha ^{3k}}}\), then a and b are the roots of the quadratic equation...

Let S be the set of all real roots of the equation,
3x(3x – 1) + 2 = |3x – 1| + |3x – 2|. Then S :

The sum, \(\sum\limits_{n = 1}^7 {{{n\left( {n + 1} \right)\left( {2n + 1} \right)} \over 4}}\) is equal to
________.

If the 10th term of an A.P. is \({1 \over {20}}\) and its 20th term
is \({1 \over {10}}\), then the sum of its first 200 terms is

The mean and variance of 20 observations are
found to be 10 and 4, respectively. On
rechecking, it was found that an observation 9
was incorrect and the correct observation was
11. Then the correct variance is

If \({{\sqrt 2 \sin \alpha } \over {\sqrt {1 + \cos 2\alpha } }} = {1 \over 7}\) and \(\sqrt {{{1 - \cos 2\beta } \over 2}} = {1 \over {\sqrt {10} }}\)
\(\alpha ,\beta \in \left( {0,{\pi \over 2}} \right)\) then tan(\(\alpha\) + 2$$\bet...

Let \(\overrightarrow a = \widehat i - 2\widehat j + \widehat k\) and \(\overrightarrow b = \widehat i - \widehat j + \widehat k\) be two
vectors. If \(\overrightarrow c\) is a vector such that $$\overrightarrow b \times \overrightarrow...