JEE Main 2020 (Online) 5th September Evening Slot

The major product of the following reaction is :

Among the following compounds, geometrical isomerism is exhibited by :

The increasing order of boiling points of the following compounds is :

The number of chiral carbons present in
sucrose is _____.

The compound that has the largest H–M–H bond angle (M = N, O, S, C) is :

For a reaction X + Y ⇌ 2Z , 1.0 mol of X, 1.5 mol of Y and 0.5 mol of Z were taken in a 1 L
vessel and allowed to react. At equilibrium, the concentration of Z was 1.0 mol L–1. The equilibrium constant of reaction is \({x \over {15}}\). The...

The rate constant (k) of a reaction is measured at differenct temperatures (T), and the data are
plotted in the given figure. The activation energy of the reaction in kJ mol–1 is :
(R is gas constant)

The following molecule acts as an :

The final major product of the following reaction is :

Considering that \(\Delta\)0
> P, the magnetic moment (in BM) of [Ru(H2O)6]2+ would be _________.

Consider the complex ions,
trans-[Co(en)2Cl2]+ (A) and cis-[Co(en)2Cl2]+ (B).
The correct statement regarding them is :

The variation of molar conductivity with concentration of an electrolyte (X) in aqueous solution
is shown in the given figure.

The electrolyte X is :

The major product formed in the following reaction is :
CH3CH = CHCH(CH3)2 \(\buildrel {HBr} \over \longrightarrow\)

Hydrogen peroxide, in the pure state, is :

The one that is NOT suitable for the removal of permanent hardness of water is :

Reaction of ammonia with excess Cl2
gives :

Boron and silicon of very high purity can be obtained through :

The correct order of the ionic radii of O2–, N3–, F–
, Mg2+, Na+ and Al3+ is :

Which one of the following polymers is not obtained by condensation polymerisation?

The volume, in mL, of 0.02 M K2Cr2O7 solution
required to react with 0.288 g of ferrous
oxalate in acidic medium is _______.
(Molar mass of Fe = 56 g mol–1)

An element crystallises in a face-centred cubic (fcc) unit cell with cell edge \(a\). The distance
between the centres of two nearest octahedral voids in the crystal lattice is :

The correct statement about probability density (except at infinite distance from nucleus) is :

Adsorption of a gas follows Freundlich adsorption isotherm. If x is the mass of the gas adsorbed
on mass m of the adsorbent, the correct plot of \({x \over m}\) versus p is :

For a dimerization reaction,
2A(g) \(\to\) A2(g)
at 298 K, \(\Delta\)Uo
= –20 kJ mol–1, \(\Delta\)So
= –30
JK–1 mol–1, then the \(\Delta\)Go
will be _____ J.

Lattice enthalpy and enthalpy of solution of NaCl are 788 kJ mol–1, and 4 kJ mol–1, respectively.
The hydration enthalpy of NaCl is :

If for some \(\alpha\) \(\in\) R, the lines
L1 : \({{x + 1} \over 2} = {{y - 2} \over { - 1}} = {{z - 1} \over 1}\) and
L2 : \({{x + 2} \over \alpha } = {{y + 1} \over {5 - \alpha }} = {{z + 1} \over 1}\) are coplanar,
then the line L2
...

If the lines x + y = a and x – y = b touch the
curve y = x2
– 3x + 2 at the points where the
curve intersects the x-axis, then \({a \over b}\) is equal
to _______.

If x = 1 is a critical point of the function
f(x) = (3x2
+ ax – 2 – a)ex
, then :

Which of the following points lies on the
tangent to the curve
x4ey + 2\(\sqrt {y + 1}\) = 3 at the
point (1, 0)?

The area (in sq. units) of the region
A = {(x, y) : (x – 1)[x] \(\le\) y \(\le\) 2\(\sqrt x\), 0 \(\le\) x \(\le\) 2}, where [t]
denotes the greatest integer function, is :

The coefficient of x4
in the expansion of
(1 + x + x2
+ x3)6
in powers of x, is ______.

If the length of the chord of the circle,
x2 + y2 = r2
(r > 0) along the line, y – 2x = 3 is r,
then r2
is equal to :

The value of \({\left( {{{ - 1 + i\sqrt 3 } \over {1 - i}}} \right)^{30}}\) is :

Let y = y(x) be the solution of the differential
equation
cosx\({{dy} \over {dx}}\) + 2ysinx = sin2x, x \(\in\) \(\left( {0,{\pi \over 2}} \right)\).
If
y\(\left( {{\pi \over 3}} \right)\) = 0, then y\(\left( {{\pi \over 4}} \right)\) ...

The derivative of
\({\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)\) with respect to \({\tan ^{ - 1}}\left( {{{2x\sqrt {1 - {x^2}} } \over {1 - 2{x^2}}}} \right)\) at x = \({1 \over 2}\) is :

Let A = {a, b, c} and B = {1, 2, 3, 4}. Then the
number of elements in the set C = {f : A \(\to\) B |
2 \(\in\) f(A) and f is not one-one} is ______.

If the line y = mx + c is a common tangent to
the hyperbola
\({{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1\) and the circle
x2
+ y2
= 36, then which one of the following is
true?

If
\(\int {{{\cos \theta } \over {5 + 7\sin \theta - 2{{\cos }^2}\theta }}} d\theta\) = A\({\log _e}\left| {B\left( \theta \right)} \right| + C\),
where C is a constant of integration, then \({{{B\left( \theta \right)} \over A}}\)
can b...

\(\mathop {\lim }\limits_{x \to 0} {{x\left( {{e^{\left( {\sqrt {1 + {x^2} + {x^4}} - 1} \right)/x}} - 1} \right)} \over {\sqrt {1 + {x^2} + {x^4}} - 1}}\)

The statement
\(\left( {p \to \left( {q \to p} \right)} \right) \to \left( {p \to \left( {p \vee q} \right)} \right)\) is :

If the system of linear equations
x + y + 3z = 0
x + 3y + k2z = 0
3x + y + 3z = 0
has a non-zero solution (x, y, z) for some k \(\in\) R,
then x + \(\left( {{y \over z}} \right)\) is equal to :

If a + x = b + y = c + z + 1, where a, b, c, x, y, z
are non-zero distinct real numbers, then
\(\left| {\matrix{ x & {a + y} & {x + a} \cr y & {b + y} & {y + b} \cr z & {c + y} & {z + c} \cr } } \right|\) is equal to :

There are 3 sections in a question paper and
each section contains 5 questions. A candidate
has to answer a total of 5 questions, choosing
at least one question from each section. Then
the number of ways, in which the candidate
can choose t...

In a bombing attack, there is 50% chance that
a bomb will hit the target. Atleast two
independent hits are required to destroy the
target completely. Then the minimum number
of bombs, that must be dropped to ensure that
there is at least 99...

If \(\alpha\) and \(\beta\) are the roots of the equation,
7x2 – 3x – 2 = 0, then the value of
\({\alpha \over {1 - {\alpha ^2}}} + {\beta \over {1 - {\beta ^2}}}\) is equal to :

If the sum of the first 20 terms of the series
\({\log _{\left( {{7^{1/2}}} \right)}}x + {\log _{\left( {{7^{1/3}}} \right)}}x + {\log _{\left( {{7^{1/4}}} \right)}}x + ...\) is 460,
then x is equal to :

If the sum of the second, third and fourth terms
of a positive term G.P. is 3 and the sum of its
sixth, seventh and eighth terms is 243, then the
sum of the first 50 terms of this G.P. is :

If the mean and the standard deviation of the
data 3, 5, 7, a, b are 5 and 2 respectively, then
a and b are the roots of the equation :

If L = sin2\(\left( {{\pi \over {16}}} \right)\) - sin2\(\left( {{\pi \over {8}}} \right)\) and
M = cos2\(\left( {{\pi \over {16}}} \right)\) - sin2\(\left( {{\pi \over {8}}} \right)\), then :

Let the vectors \(\overrightarrow a\), \(\overrightarrow b\), \(\overrightarrow c\)
be such that
\(\left| {\overrightarrow a } \right| = 2\), \(\left| {\overrightarrow b } \right| = 4\)
and \(\left| {\overrightarrow c } \right| = 4\). ...