JEE Main 2020 (Online) 6th September Morning Slot

Consider the following reactions

'A' is :

The major products of the following reaction are :

Which of the following compounds shows
geometrical isomerism?

The number of Cl = O bonds in perchloric acid
is, "________".

For the reaction
Fe2N(s) + \({3 \over 2}\)H2(g) ⇌ 2Fe(s) + NH3(g)

The variation of equilibrium constant with
temperature is given below :

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Consider the following reactions
A \(\to\) P1 ; B \(\to\) P2 ; C \(\to\) P3 ; D \(\to\) P4,
The order of the above reactions are a, b, c,
and d, respectively. The following graph is
obtained when log[rate] vs. log[conc.] are
plotted...

The increasing order of pKb values of the
following compounds is :

The species that has a spin-only magnetic
moment of 5.9 BM, is :
(Td = tetrahedral)

The lanthanoid that does NOT show +4 oxidation
state is :

The set that contains atomic numbers of only
transition elements, is :

Potassium chlorate is prepared by the
electrolysis of KCl in basic solution
6OH- + Cl- \(\to\) ClO3- + 3H2O + 6e-
If only 60% of the current is utilized in the
reaction, the time (rounded to the nearest hour)
required to produce 10 g of K...

The presence of soluble fluoride ion upto
1 ppm concentration in drinking water, is :

A spherical balloon of radius 3 cm containing
helium gas has a pressure of 48 \(\times\) 10–3 bar. At
the same temperature, the pressure, of a
spherical balloon of radius 12 cm containing
the same amount of gas will be ________ $$ \times ...

The major product obtained from the following
reaction is :

The major product of the following reaction is :

Arrange the following solutions in the
decreasing order of pOH :
(A) 0.01 M HCl
(B) 0.01 M NaOH
(C) 0.01 M CH3COONa
(D) 0.01 M NaCl

The incorrect statement is :

The correct statement with respect to
dinitrogen is :

Consider the Assertion and Reason given
below.
Assertion (A) : Ethene polymerized in the
presence of Ziegler Natta Catalyst at high
temperature and pressure is used to make
buckets and dustbins.
Reason (R) : High density polymers are closel...

In an estimation of bromine by Carius method,
1.6 g of an organic compound gave 1.88 g of
AgBr. The mass percentage of bromine in the
compound is _______.
(Atomic mass, Ag = 108, Br = 80 g mol–1)

Among the sulphates of alkaline earth metals,
the solubilities of BeSO4 and MgSO4 in water,
respectively, are :

The elevation of boiling point of 0.10 m
aqueous CrCl3.xNH3 solution is two times that
of 0.05 m aqueous CaCl2 solution. The value of
x is ______.
[Assume 100% ionisation of the complex and
CaCl2, coordination number of Cr as 6, and that
al...

A solution of two components containing
n1 moles of the 1st component and n2 moles of
the 2nd component is prepared. M1 and M2 are
the molecular weights of component 1 and 2
respectively. If d is the density of the solution
in g mL–1, C2 is...

Kraft temperature is the temperature :

The shortest distance between the lines
\({{x - 1} \over 0} = {{y + 1} \over { - 1}} = {z \over 1}\) and x + y + z + 1 = 0, 2x – y + z
+ 3 = 0 is :

The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real
numbers greater than 1. Then the average speed of the car over the time interval [t1
, t2
] is
attained at the point :

The area (in sq. units) of the region A = {(x, y) : |x| + |y| \(\le\) 1, 2y2 \(\ge\) |x|}

If {p} denotes the fractional part of the number p, then
\(\left\{ {{{{3^{200}}} \over 8}} \right\}\), is equal to :

The region represented by {z = x + iy \(\in\) C : |z| – Re(z) \(\le\) 1} is also given by the inequality :
{z = x + iy \(\in\) C : |z| – Re(z) \(\le\) 1}

If I1 = \(\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{100}}} dx\) and
I2 = \(\int\limits_0^1 {{{\left( {1 - {x^{50}}} \right)}^{101}}} dx\) such that I2
= \(\alpha\)I1
then \(\alpha\)
equals to :

\(\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)dt} } \over {\left( {x - 1} \right)\sin \left( {x - 1} \right)}}} \right)\)

The general solution of the differential equation
\(\sqrt {1 + {x^2} + {y^2} + {x^2}{y^2}}\) + xy\({{dy} \over {dx}}\) = 0 is :
(where C is a constant of integration)

Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent
to the ellipse,
\({{{x^2}} \over 4} + {{{y^2}} \over 2} = 1\)
from any of its foci?

If f(x + y) = f(x)f(y) and \(\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2\) , x, y \(\in\) N, where N is the set of all natural number, then the
value of
\({{f\left( 4 \right)} \over {f\left( 2 \right)}}\) is :

Let AD and BC be two vertical poles at A and B respectively on a horizontal ground. If
AD = 8 m, BC = 11 m and AB = 10 m; then the distance (in meters) of a point M on AB from the point
A such that MD2 + MC2 is minimum is ______.

The angle of elevation of the top of a hill from a point on the horizontal plane passing through the
foot of the hill is found to be 45o. After walking a distance of 80 meters towards the top, up a slope
inclined at an angle of 30o to the h...

Let f : R \(\to\) R be defined as
$$f\left( x \right) = \left\{ {\matrix{
{{x^5}\sin \left( {{1 \over x}} \right) + 5{x^2},} & {x < 0} \cr
{0,} & {x = 0} \cr
{{x^5}\cos \left( {{1 \over x}} \right) + \lambda {x^2},} & {x > 0}...

The negation of the Boolean expression p \(\vee\) (~p \(\wedge\) q) is equivalent to :

Let m and M be respectively the minimum and maximum values of
$$\left| {\matrix{
{{{\cos }^2}x} & {1 + {{\sin }^2}x} & {\sin 2x} \cr
{1 + {{\cos }^2}x} & {{{\sin }^2}x} & {\sin 2x} \cr
{{{\cos }^2}x} & {{{\sin }^2}x} & {1 + \si...

The values of \(\lambda\) and \(\mu\) for which the system of linear equations
x + y + z = 2
x + 2y + 3z = 5
x + 3y + \(\lambda\)z = \(\mu\)
has infinitely many solutions are, respectively:

Let L1
be a tangent to the parabola y2 = 4(x + 1) and L2
be a tangent to the parabola
y2 = 8(x + 2) such that L1
and L2
intersect at right angles. Then L1
and L2
meet on the straight
line :

Two families with three members each and one family with four members are to be seated in a row.
In how many ways can they be seated so that the same family members are not separated?

Out of 11 consecutive natural numbers if three numbers are selected at random (without repetition), then the probability that they are in A.P. with positive common difference, is :

If \(\alpha\) and \(\beta\) be two roots of the equation x2 – 64x + 256 = 0. Then the value of
\({\left( {{{{\alpha ^3}} \over {{\beta ^5}}}} \right)^{1/8}} + {\left( {{{{\beta ^3}} \over {{\alpha ^5}}}} \right)^{1/8}}\) is :

Let a , b, c , d and p be any non zero distinct real numbers such that
(a2 + b2 + c2)p2 – 2(ab + bc + cd)p + (b2 + c2 + d2) = 0. Then :

Set A has m elements and set B has n elements. If the total number of subsets of A is 112 more
than the total number of subsets of B, then the value of m.n is ______.

If \(\sum\limits_{i = 1}^n {\left( {{x_i} - a} \right)} = n\) and \(\sum\limits_{i = 1}^n {{{\left( {{x_i} - a} \right)}^2}} = na\)
(n, a > 1) then the standard deviation of n
observations x1
, x2
, ..., xn
is :

A ray of light coming from the point (2, \(2\sqrt 3\)) is incident at an angle 30o on the line x = 1 at the
point A. The ray gets reflected on the line x = 1 and meets x-axis at the point B. Then, the line AB
passes through the point :

If \(\overrightarrow a\)
and \(\overrightarrow b\)
are unit vectors, then the greatest value of
\(\sqrt 3 \left| {\overrightarrow a + \overrightarrow b } \right| + \left| {\overrightarrow a - \overrightarrow b } \right|\) is_____.