JEE Main 2020 (Online) 2nd September Morning Slot

The major aromatic product C in the following
reaction sequence will be :

The increasing order of the following
compounds towards HCN addition is :

The number of chiral carbons present in the
molecule given below is _____ .

The IUPAC name for the following compound
is

Consider the following rections:

'x', 'y' and 'z' in these reactions are respectively.

If AB4 molecule is a polar molecule, a possible
geometry of AB4 is

An open beaker of water in equilibrium with
water vapour is in a sealed container. When a
few grams of glucose are added to the beaker
of water, the rate at which water molecules :

The oxidation states of iron atoms in
compounds (A), (B) and (C), respectively, are x,
y and z. The sum of x, y and z is ________.
Na4[Fe(CN)5(NOS)]
       (A)
Na4[FeO4]
       (B)
[Fe2(CO)9]
       (C)

Consider that a d6 metal ion (M2+) forms a
complex with aqua ligands, and the spin only
magnetic moment of the complex is 4.90 BM.
The geometry and the crystal field stabilization
energy of the complex is

For octahedral Mn(II) and tetrahedral Ni(II)
complexes, consider the following statements:
(I) both the complexes can be high spin.
(II) Ni(II) complex can very rarely be low spin.
(III) with strong field ligands, Mn(II) complexes
can be lo...

The Gibbs change (in J) for the given reaction at
[Cu2+] = [Sn2+] = 1 M and 298K is :
Cu(s) + Sn2+(aq.) \(\to\) Cu2+(aq.) + Sn(s);
(\(E_{S{n^{2 + }}|Sn}^0 = - 0.16\,V\),
\(E_{C{u^{2 + }}|Cu}^0 = 0.34\,V\))
Take F = 96500 C mol–1)

The statement that is not true about ozone is :

Which one of the following graphs is not
correct for ideal gas?

d = Density, P = Pressure, T = Temperature

Which of the following compunds will show
retention in configuration on nucleophilic
substitution by OH– ion?

The major product in the following reaction is :

For the following Assertion and Reason, the
correct option is
Assertion (A): When Cu (II) and sulphide ions
are mixed, they react together
extremely quickly to give a
solid.
Reason (R): The equilibrium constant of
Cu2+(aq) + S2–(aq) ⇌ CuS(s...

On heating compound (A) gives a gas (B) which
is a constituent of air. This gas when treated
with H2 in the presence of a catalyst gives
another gas (C) which is basic in nature. (A)
should not be :

In general the property (magnitudes only) that
show an opposite trend in comparison to other
properties across a period is

In Carius method of estimation of halogen,
0.172 g of an organic compound showed
presence of 0.08 g of bromine. Which of these
is the correct structure of the compound?

While titrating dilute HCl solution with aqueous
NaOH, which of the following will not be
required?

The metal mainly used in devising
photoelectric cells is :

The figure that is not a direct manifestation of
the quantum nature of atoms is :

Which of the following is used for the
preparation of colloids?

The mass of gas adsorbed, x, per unit mass of
adsorbate, m, was measured at various pressures,
p. A graph between \(\log {x \over m}\)
and log p gives a
straight line with slope equal to 2 and the intercept
equal to 0.4771. The value of
$$...

The internal energy change (in J) When 90 g of
water undergoes complete evaporation at
100oC is ____________.
(Given : \(\Delta\)Hvap for water at 373 K = 41 kJ/mol,
R = 8.314 JK–1 mol–1)

The plane passing through the points (1, 2, 1),
(2, 1, 2) and parallel to the line, 2x = 3y, z = 1
also passes through the point :

If p(x) be a polynomial of degree three that has
a local maximum value 8 at x = 1 and a local
minimum value 4 at x = 2; then p(0) is equal to :

If the tangent to the curve y = x + sin y at a point
(a, b) is parallel to the line joining \(\left( {0,{3 \over 2}} \right)\) and \(\left( {{1 \over 2},2} \right)\), then :

Let P(h, k) be a point on the curve
y = x2
+ 7x + 2, nearest to the line, y = 3x – 3.
Then the equation of the normal to the curve at
P is :

Area (in sq. units) of the region outside
\({{\left| x \right|} \over 2} + {{\left| y \right|} \over 3} = 1\) and inside the ellipse \({{{x^2}} \over 4} + {{{y^2}} \over 9} = 1\) is :

Let
\(\alpha\) > 0,
\(\beta\) > 0 be such that
\(\alpha\)3 + \(\beta\)2 = 4. If the
maximum value of the term independent of x in
the binomial expansion of
$${\left( {\alpha {x^{{1 \over 9}}} + \beta {x^{ - {1 \over 6}}}} \right)^{10}}$...

The number of integral values of k for which
the line, 3x + 4y = k intersects the circle,
x2
+ y2
– 2x – 4y + 4 = 0 at two distinct points is
______.

The value of \({\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\cos {{2\pi } \over 9}}}} \right)^3}\) is :

The integral \(\int\limits_0^2 {\left| {\left| {x - 1} \right| - x} \right|dx}\) is equal to______.

Let y = y(x) be the solution of the differential
equation,
\({{2 + \sin x} \over {y + 1}}.{{dy} \over {dx}} = - \cos x\), y > 0,y(0) = 1. If y(\(\pi\)) = a and \({{dy} \over {dx}}\) at x =
\(\pi\) is b, then the ordered pair
(a, b) is eq...

A line parallel to the straight line 2x – y = 0 is
tangent to the hyperbola
\({{{x^2}} \over 4} - {{{y^2}} \over 2} = 1\) at the point
\(\left( {{x_1},{y_1}} \right)\). Then \(x_1^2 + 5y_1^2\) is equal to :

The domain of the function
f(x) = \({\sin ^{ - 1}}\left( {{{\left| x \right| + 5} \over {{x^2} + 1}}} \right)\) is (–
\(\infty\), -a]\(\cup\)[a, \(\infty\)). Then a is equal to :

If a function f(x) defined by
\(f\left( x \right) = \left\{ {\matrix{ {a{e^x} + b{e^{ - x}},} & { - 1 \le x < 1} \cr {c{x^2},} & {1 \le x \le 3} \cr {a{x^2} + 2cx,} & {3 < x \le 4} \cr } } \right.\)
be continuous for some $...

If \(\mathop {\lim }\limits_{x \to 1} {{x + {x^2} + {x^3} + ... + {x^n} - n} \over {x - 1}}\) = 820,
(n \(\in\) N) then
the value of n is equal to _______.

The contrapositive of the statement "If I reach the
station in time, then I will catch the train" is :

Let A be a 2 \(\times\) 2 real matrix with entries from
{0, 1} and |A|
\(\ne\) 0. Consider the following two
statements :
(P) If A \(\ne\) I2
, then |A| = –1
(Q) If |A| = 1, then tr(A) = 2,
where I2
denotes 2 \(\times\) 2 identity ...

Let S be the set of all \(\lambda\) \(\in\) R for which the system
of linear equations
2x – y + 2z = 2
x – 2y +
\(\lambda\)z = –4
x +
\(\lambda\)y + z = 4
has no solution. Then the set S :

If the letters of the word 'MOTHER' be permuted
and all the words so formed (with or without
meaning) be listed as in a dictionary, then the
position of the word 'MOTHER' is ______.

Box I contains 30 cards numbered 1 to 30 and
Box II contains 20 cards numbered 31 to 50. A
box is selected at random and a card is drawn
from it. The number on the card is found to be
a non-prime number. The probability that the
card was dr...

Let
\(\alpha\) and
\(\beta\) be the roots of the equation
5x2 + 6x – 2 = 0. If Sn
=
\(\alpha\)n +
\(\beta\)n, n = 1, 2, 3....,
then :

The sum of the first three terms of a G.P. is S and
their product is 27. Then all such S lie in :

If |x| < 1, |y| < 1 and x \(\ne\) y, then the sum to infinity
of the following series
(x + y) + (x2+xy+y2) + (x3+x2y + xy2+y3) + ....

If R = {(x, y) : x, y
\(\in\) Z, x2 + 3y2
\(\le\) 8} is a relation
on the set of integers Z, then the domain of R–1 is :

Let X = {x
\(\in\) N : 1
\(\le\) x
\(\le\) 17} and
Y = {ax + b: x
\(\in\) X and a, b \(\in\) R, a > 0}. If mean
and variance of elements of Y are 17 and 216
respectively then a + b is equal to :

Let \(\overrightarrow a\), \(\overrightarrow b\) and \(\overrightarrow c\) be three unit vectors such that
\({\left| {\overrightarrow a - \overrightarrow b } \right|^2}\) + $${\left| {\overrightarrow a - \overrightarrow c } \right|^2}$...