JEE Main 2020 (Online) 3rd September Evening Slot

Consider the following reaction :

The product 'P' gives positive ceric ammonium nitrate test. This is because of the presence of
which of these –OH group(s)?

Consider the following molecules and
statements related to them :

(a) (B) is more likely to be crystalline than (A)
(b) (B) has higher boiling point than (A)
(c) (B) dissolves more readily than (A) in water
Identify the correct option from...

The increasing order of the reactivity of the
following compound in nucleophilic addition
reaction is :
Propanal, Benzaldehyde, Propanone, Butanone

The compound A in the following reaction is :

The number of
groups present in a tripeptide Asp–Glu–Lys is ____.

For the reaction 2A + 3B +
\({3 \over 2}\)C
\(\to\) 3P, which
statement is correct ?

Match the following drugs with their
therapeutic actions :

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Three isomers A, B and C (mol. formula C8H11N) give the following results :

R has lower boiling point than S

A, B and C, respectively are :

The d-electron configuration of [Ru(en)3
]Cl2
and [Fe(H2O)6]Cl2
, respectively are :

Complex A has a composition of H12O6Cl3Cr. If the complex on treatment with conc.H2SO4
loses
13.5% of its original mass, the correct molecular formula of A is :
[Given: atomic mass of Cr = 52 amu and Cl = 35 amu]

The incorrect statement is :

An acidic solution of dichromate is electrolyzed
for 8 minutes using 2A current. As per the
following equation
Cr2O72-
+ 14H+ + 6e– \(\to\) 2Cr3+ + 7H2O
The amount of Cr3+ obtained was 0.104 g. The
efficiency of the process(in%) is
(Take...

The incorrect statement(s) among (a) – (d)
regarding acid rain is (are) :
(a) It can corrode water pipes.
(b) It can damage structures made up of stone.
(c) It cannot cause respiratory ailments in animals.
(d) It is not harmful for trees

A mixture of one mole each of H2
, He and O2
each are enclosed in a cylinder of volume V at
temperature T. If the partial pressure of H2
is 2 atm, the total pressure of the gases in the
cylinder is :

The major product in the following reaction is :

The decreasing order of reactivity of the
following compounds towards nucleophilic
substitution (SN2) is :

100 mL of 0.1 M HCl is taken in a beaker and
to it 100 mL of 0.1 M NaOH is added in steps
of 2 mL and the pH is continuously measured.
Which of the following graphs correctly depicts
the change in pH?

The five successive ionization enthalpies of an
element are 800, 2427, 3658, 25024 and 32824
kJ mol–1. The number of valence electrons in
the element is :

Among the statements (I – IV), the correct ones
are:
(I) Be has smaller atomic radius compared to
Mg.
(II) Be has higher ionization enthalpy than Al.
(III) Charge/radius ratio of Be is greater than
that of Al.
(IV) Both Be and Al form mainl...

If 250 cm3
of an aqueous solution containing 0.73 g of a protein A is isotonic with one litre of
another aqueous solution containing 1.65 g of a protein B, at 298 K, the ratio of the molecular
masses of A and B is ______ × 10–2 (to the nea...

The volume (in mL) of 0.1 N NaOH required to neutralise 10 mL of 0.1 N phosphinic acid is ___________.

The strengths of 5.6 volume hydrogen peroxide
(of density 1 g/mL) in terms of mass percentage
and molarity (M), respectively, are:
(Take molar mass of hydrogen peroxide as
34 g/mol)

6.023 \(\times\) 1022 molecules are present in 10 g of a substance 'x'. The molarity of a solution containing
5 g of substance 'x' in 2 L solution is _____ × 10-3

Consider the hypothetical situation where the
azimuthal quantum number,
\(l\), takes values 0,
1, 2, ....., n + 1, where n is the principal
quantum number. Then, the element with
atomic number :

An ionic micelle is formed on the addition of :

Let a plane P contain two lines
\(\overrightarrow r = \widehat i + \lambda \left( {\widehat i + \widehat j} \right)\), \(\lambda \in R\) and
\(\overrightarrow r = - \widehat j + \mu \left( {\widehat j - \widehat k} \right)\), $$\mu \in...

The plane which bisects the line joining, the
points (4, –2, 3) and (2, 4, –1) at right angles
also passes through the point :

If the surface area of a cube is increasing at a
rate of 3.6 cm2/sec, retaining its shape; then
the rate of change of its volume (in cm3/sec),
when the length of a side of the cube is
10 cm, is :

If the term independent of x in the expansion of
\({\left( {{3 \over 2}{x^2} - {1 \over {3x}}} \right)^9}\) is k, then 18 k is equal to :

If z1
, z2
are complex numbers such that
Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1| , and
arg(z1 - z2) = \({\pi \over 6}\), then Im(z1
+ z2
) is equal to :

If the value of the integral
\(\int\limits_0^{{1 \over 2}} {{{{x^2}} \over {{{\left( {1 - {x^2}} \right)}^{{3 \over 2}}}}}} dx\)
is \({k \over 6}\), then k is equal to :

Suppose f(x) is a polynomial of degree four,
having critical points at –1, 0, 1. If
T = {x \(\in\) R |
f(x) = f(0)}, then the sum of squares of all the
elements of T is :

If x3dy + xy dx = x2dy + 2y dx; y(2) = e and
x > 1, then y(4) is equal to :

Let e1
and e2
be the eccentricities of the
ellipse, \({{{x^2}} \over {25}} + {{{y^2}} \over {{b^2}}} = 1\)(b < 5) and the hyperbola,
\({{{x^2}} \over {16}} - {{{y^2}} \over {{b^2}}} = 1\) respectively satisfying e1e2
= 1. If \(\alpha\)
...

If \(\int {{{\sin }^{ - 1}}\left( {\sqrt {{x \over {1 + x}}} } \right)} dx\) = A(x)\({\tan ^{ - 1}}\left( {\sqrt x } \right)\) + B(x) + C,
where C is a constant of integration, then the
ordered pair (A(x), B(x)) can be :

\(\mathop {\lim }\limits_{x \to a} {{{{\left( {a + 2x} \right)}^{{1 \over 3}}} - {{\left( {3x} \right)}^{{1 \over 3}}}} \over {{{\left( {3a + x} \right)}^{{1 \over 3}}} - {{\left( {4x} \right)}^{{1 \over 3}}}}}\) (\(a\) \(\ne\) 0) is equa...

Let p, q, r be three statements such that the
truth value of (p \(\wedge\) q) \(\to\) (\(\sim\)q \(\vee\) r) is F. Then the
truth values of p, q, r are respectively :

Let A be a 3 \(\times\) 3 matrix such that
adj A = \(\left[ {\matrix{ 2 & { - 1} & 1 \cr { - 1} & 0 & 2 \cr 1 & { - 2} & { - 1} \cr } } \right]\) and B = adj(adj A).
If |A| = \(\lambda\) and |(B-1)T| = \(\mu\) , then th...

Let S be the set of all integer solutions, (x, y, z),
of the system of equations
x – 2y + 5z = 0
–2x + 4y + z = 0
–7x + 14y + 9z = 0
such that 15 \(\le\) x2
+ y2
+ z2 \(\le\) 150. Then, the
number of elements in the set S is equal to
...

Let the latus ractum of the parabola y2
= 4x be
the common chord to the circles C1
and C2
each of them having radius 2\(\sqrt 5\). Then, the
distance between the centres of the circles C1
and C2
is :

If the tangent to the curve, y = ex
at a point
(c, ec) and the normal to the parabola, y2 = 4x
at the point (1, 2) intersect at the same point on
the x-axis, then the value of c is ________ .

The total number of 3-digit numbers, whose
sum of digits is 10, is __________.

The probability that a randomly chosen 5-digit
number is made from exactly two digits is :

The set of all real values of \(\lambda\) for which the
quadratic equations, (\(\lambda\)2
+ 1)x2
– 4\(\lambda\)x + 2 = 0
always have exactly one root in the interval
(0, 1) is :

If m arithmetic means (A.Ms) and three
geometric means (G.Ms) are inserted between
3 and 243 such that 4th A.M. is equal to 2nd
G.M., then m is equal to _________ .

If the sum of the series
20 + 19\({3 \over 5}\) + 19\({1 \over 5}\) + 18\({4 \over 5}\) + ...
upto nth term is 488
and the nth term is negative, then :

Let R1
and R2
be two relation defined as
follows :
R1
= {(a, b) \(\in\) R2
: a2
+ b2 \(\in\) Q} and
R2
= {(a, b) \(\in\) R2
: a2
+ b2 \(\notin\) Q},
where Q is the
set of all rational numbers. Then :

Let xi
(1 \(\le\) i \(\le\) 10) be ten observations of a
random variable X. If \(\sum\limits_{i = 1}^{10} {\left( {{x_i} - p} \right)} = 3\) and \(\sum\limits_{i = 1}^{10} {{{\left( {{x_i} - p} \right)}^2}} = 9\) where 0 \(\ne\) p ...

If a \(\Delta\)ABC has vertices A(–1, 7), B(–7, 1) and
C(5, –5), then its orthocentre has coordinates :

Let a, b c \(\in\) R be such that a2
+ b2
+ c2
= 1. If \(a\cos \theta = b\cos \left( {\theta + {{2\pi } \over 3}} \right) = c\cos \left( {\theta + {{4\pi } \over 3}} \right)\),
where
\({\theta = {\pi \over 9}}\), then the angle be...