JEE Main 2020 (Online) 9th January Evening Slot

Consider the following reactions

The mass percentage of carbon in A is ______.

In the following reaction A is :

Which of the following has the shortest C-Cl
bond?

The number of sp2 hybrid orbitals in a molecule
of benzene is :

In the figure shown below reactant A
(represented by square) is in equilibrium with
product B (represented by circle). The
equilibrium constant is :

A sample of milk splits after 60 min. at 300 K
and after 40 min. at 400 K when the population
of lactobacillus acidophilus in it doubles. The
activa tion energy (in kJ/ mol) for this process
is closest to__________.
(Given, R = 8.3 J mol–1 ...

The decreasing order of basicity of the
following amines is :

Consider the following reactions,

The compound [P] is :

The isomer(s) of [Co(NH3)4Cl2] that has/have
a Cl–Co–Cl angle of 90°, is/are :

The correct order of the spin-only magnetic
moments of the following complexes is :
(I) [Cr(H2O)6]Br2
(II) Na4[Fe(CN)6]
(III) Na3[Fe(C2O4)3] (\(\Delta\)0 \(>\) P)
(IV) (Et4N)2[CoCl4]

The sum of the total number of bonds between
chromium and oxygen atoms in chromate and
dichromate ions is ____________.

5 g of zinc is treated separately with an excess
of
(a) dilute hydrochloric acid and
(b) aqueous sodium hydroxide.
The ratio of the volumes of H2 evolved in these
two reactions is :

Biochemical Oxygen Demand (BOD) is the
amount of oxygen required (in ppm) :

Which of the following reactions will not
produce a racemic product?

Amongst the following, the form of water with
the lowest ionic conductance at 298 K is :

The solubility product of Cr(OH)3 at 298 K is
6.0 × 10–31. The concentration of hydroxide ions
in a saturated solution of Cr(OH)3 will be :

The reaction of H3N3B3Cl3 (A) with LiBH4 in
tetrahydrofuran gives inorganic benzene (B).
Further, the reaction of (A) with (C) leads to
H3N3B3(Me)3. Compounds (B) and (C)
respectively, are :

The first and second ionisation enthalpies of a
metal are 496 and 4560 kJ mol–1, respectively.
How many moles of HCl and H2SO4,
respectively, will be needed to react completely
with 1 mole of the metal hydroxide ?

Which polymer has 'chiral' monomer(s) ?

A, B and C are three biomolecules. The results
of the tests performed on them are given
below:
$$
\begin{array}{|l|l|l|l|}
\hline & \begin{array}{l}
\text { Molisch's } \\
\text { Test }
\end{array} & \begin{array}{l}
\text { Barfoed } \\
\...

Among the statements (a)-(d) the correct ones
are :
(a) Lithium has the highest hydration enthalpy
among the alkali metals.
(b) Lithium chloride is insoluble in pyridine.
(c) Lithium cannot form ethynide upon its
reaction with ethyne.
(d) B...

A cylinder containing an ideal gas (0.1 mol of
1.0 dm3) is in thermal equilibrium with a large
volume of 0.5 molal aqueous solution of
ethylene glycol at its freezing point. If the
stoppers S1 and S2 (as shown in the figure) are
suddenly wi...

10.30 mg of O2 is dissolved into a liter of sea
water of density 1.03 g/mL. The concentration
of O2 in ppm is__________.

A mixture of gases O2, H2 and CO are taken in
a closed vessel containing charcoal. The graph
that represents the correct behaviour of
pressure with time is :

The true statement amongst the following is :

If the distance between the plane,
23x – 10y – 2z + 48 = 0 and the plane
containing the lines
\({{x + 1} \over 2} = {{y - 3} \over 4} = {{z + 1} \over 3}\) and
$${{x + 3} \over 2} = {{y + 2} \over 6} = {{z - 1} \over \lambda }\left( {\lambd...

Given : \(f(x) = \left\{ {\matrix{ {x\,\,\,\,\,,} & {0 \le x < {1 \over 2}} \cr {{1 \over 2}\,\,\,\,,} & {x = {1 \over 2}} \cr {1 - x\,\,\,,} & {{1 \over 2} < x \le 1} \cr } } \right.\)
and $$g(x) = \left( {x - {1 \over 2}}...

In the expansion of \({\left( {{x \over {\cos \theta }} + {1 \over {x\sin \theta }}} \right)^{16}}\), if \({\ell _1}\) is
the least value of the term independent of x
when \({\pi \over 8} \le \theta \le {\pi \over 4}\) and \({\ell _2}\) ...

If Cr \(\equiv\) 25Cr and
C0 + 5.C1 + 9.C2 + .... + (101).C25 = 225.k, then k is equal to _____.

If the curves, x2 – 6x + y2 + 8 = 0 and
x2 – 8y + y2 + 16 – k = 0, (k > 0) touch each other
at a point, then the largest value of k is ______.

If z be a complex number satisfying
|Re(z)| + |Im(z)| = 4, then |z| cannot be :

Let a function ƒ : [0, 5] \(\to\) R be continuous,
ƒ(1) = 3 and F be defined as :
\(F(x) = \int\limits_1^x {{t^2}g(t)dt}\) , where \(g(t) = \int\limits_1^t {f(u)du}\) Then for the function F, the point x = 1 is :

If \({{dy} \over {dx}} = {{xy} \over {{x^2} + {y^2}}}\); y(1) = 1; then a value of x
satisfying y(x) = e is :

Let ƒ and g be differentiable functions on R
such that fog is the identity function. If for some
a, b \(\in\) R, g'(a) = 5 and g(a) = b, then ƒ'(b) is
equal to :

If \(x = 2\sin \theta - \sin 2\theta\) and \(y = 2\cos \theta - \cos 2\theta\),
\(\theta \in \left[ {0,2\pi } \right]\), then \({{{d^2}y} \over {d{x^2}}}\) at \(\theta\) = \(\pi\) is :

The length of the minor axis (along y-axis) of
an ellipse in the standard form is \({4 \over {\sqrt 3 }}\). If this
ellipse touches the line, x + 6y = 8; then its
eccentricity is :

Let a – 2b + c = 1.
If \(f(x)=\left| {\matrix{ {x + a} & {x + 2} & {x + 1} \cr {x + b} & {x + 3} & {x + 2} \cr {x + c} & {x + 4} & {x + 3} \cr } } \right|\), then:

If \(\int {{{d\theta } \over {{{\cos }^2}\theta \left( {\tan 2\theta + \sec 2\theta } \right)}}} = \lambda \tan \theta + 2{\log _e}\left| {f\left( \theta \right)} \right| + C\)
where C is a constant of integration, then the
ordered pair...

Let [t] denote the greatest integer \(\le\) t
and \(\mathop {\lim }\limits_{x \to 0} x\left[ {{4 \over x}} \right] = A\). Then the function,
f(x) = [x2]sin(\(\pi\)x) is discontinuous, when x is
equal to :

If p \(\to\) (p \(\wedge\) ~q) is false, then the truth values
of p and q are respectively :

The following system of linear equations
7x + 6y – 2z = 0
3x + 4y + 2z = 0
x – 2y – 6z = 0, has

If one end of a focal chord AB of the parabola
y2 = 8x is at \(A\left( {{1 \over 2}, - 2} \right)\), then the equation of
the tangent to it at B is :

A random variable X has the following
probability distribution :

.tg {border-collapse:collapse;border-spacing:0;width:100%}
.tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 5px;border-style:solid;border-width:1px;overflow:...

If 10 different balls are to be placed in 4 distinct
boxes at random, then the probability that two
of these boxes contain exactly 2 and 3 balls is :

Let a, b \(\in\) R, a \(\ne\) 0 be such that the equation,
ax2 – 2bx + 5 = 0 has a repeated root \(\alpha\), which
is also a root of the equation, x2 – 2bx – 10 = 0.
If \(\beta\) is the other root of this equation, then
\(\alpha\)2 +...

Let an be the nth term of a G.P. of positive terms.
\(\sum\limits_{n = 1}^{100} {{a_{2n + 1}} = 200}\) and \(\sum\limits_{n = 1}^{100} {{a_{2n}} = 100}\),

then \(\sum\limits_{n = 1}^{200} {{a_n}}\) is equal to :

The number of terms common to the two A.P.'s
3, 7, 11, ....., 407 and 2, 9, 16, ....., 709 is ______.

If A = {x \(\in\) R : |x| < 2} and B = {x \(\in\) R : |x – 2| \(\ge\) 3};
then :

If \(x = \sum\limits_{n = 0}^\infty {{{\left( { - 1} \right)}^n}{{\tan }^{2n}}\theta }\) and \(y = \sum\limits_{n = 0}^\infty {{{\cos }^{2n}}\theta }\) for
0 < \(\theta\) < \({\pi \over 4}\), then :

Let \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) be three vectors such that \(\left| {\overrightarrow a } \right| = \sqrt 3\),
$$\left| {\overrightarrow b } \right| = 5,\overrightarrow b .\overrightarrow c = 1...