JEE Main 2020 (Online) 9th January Morning Slot

Identify (A) in the following reaction sequence :

The increasing order of basicity for the
following intermediates is (from weak to
strong)

If the magnetic moment of a dioxygen species
is 1.73 B.M, it may be :

For the following reactions
\(A\buildrel {700K} \over \longrightarrow {\mathop{\rm Product}\nolimits}\)
\(A\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{catalyst}^{500K}} {\mathop{\rm Product}\nolimits}\)
it was found that Ea is dec...

A chemist has 4 samples of artificial sweetener
A, B, C and D. To identify these samples, he
performed certain experiments and noted the
following observations :
(i) A and D both form blue-violet colour with
ninhydrin.
(ii) Lassaigne extrac...

The mass percentage of nitrogen in histamine is _____.

The major product Z obtained in the following
reaction scheme is :

[Pd(F)(Cl)(Br)(I)]2– has n number of
geometrical isomers. Then, the spin-only
magnetic moment and crystal field stabilisation
energy [CFSE] of [Fe(CN)6]n–6, respectively,
are:
[Note : Ignore the pairing energy]

Complex X of composition Cr(H2O)6Cln
has a spin only magnetic moment of 3.83
BM. It reacts with AgNO3 and shows
geometrical isomerism. The IUPAC
nomenclature of X is :

108 g of silver (molar mass 108 g mol–1) is
deposited at cathode from AgNO3(aq) solution
by a certain quantity of electricity. The
volume (in L) of oxygen gas produced at
273 K and 1 bar pressure from water by the
same quantity of electrici...

Which of these will produce the highest yield
in Friedel Crafts reaction?

The correct order of heat of combustion for
following alkadienes is :

The major product (Y) in the following
reactions is :

The Ksp for the following dissociation is
1.6 × 10–5
\(PbC{l_{2(s)}} \leftrightharpoons Pb_{(aq)}^{2 + } + 2Cl_{(aq)}^ -\)
Which of the following choices is correct for
a mixture of 300 mL 0.134 M Pb(NO3)2 and
100 mL 0.4 M NaCl ?

According to the following diagram, A reduces
BO2 when the temperature is :

'X' melts at low temperature and is a bad
conductor of electricity in both liquid and solid
state. X is :

The acidic, basic and amphoteric oxides,
respectively, are :

The electronic configurations of bivalent
europium and trivalent cerium are
(atomic number : Xe = 54, Ce = 58, Eu = 63)

B has a smaller first ionization enthalpy than
Be. Consider the following statements :
(I) It is easier to remove 2p electron than 2s
electron
(II) 2p electron of B is more shielded from the
nucleus by the inner core of electrons than
the 2...

The compound that cannot act both as oxidising
and reducing agent is :

How much amount of NaCl should be added
to 600 g of water (\(\rho\) = 1.00 g/mL) to decrease
the freezing point of water to – 0.2 °C ?
______.
(The freezing point depression constant for water = 2K kg mol–1)

The hardness of a water sample containing
10–3 M MgSO4 expressed as CaCO3 equivalents
(in ppm) is ______.
(molar mass of MgSO4 is 120.37 g/mol)

The molarity of HNO3 in a sample which has
density 1.4 g/mL and mass percentage of 63%
is _____.
(Molecular Weight of HNO3 = 63)

The de Broglie wavelength of an electron in the
4th Bohr orbit is :

If enthalpy of atomisation for Br2(1) is x kJ/mol
and bond enthalpy for Br2 is y kJ/mol, the
relation between them :

The projection of the line segment joining the
points (1, –1, 3) and (2, –4, 11) on the line
joining the points (–1, 2, 3) and (3, –2, 10)
is ____________.

A spherical iron ball of 10 cm radius is
coated with a layer of ice of uniform
thickness the melts at a rate of 50 cm3/min.
When the thickness of ice is 5 cm, then the rate
(in cm/min.) at which of the thickness of ice
decreases, is :

The coefficient of x4 is the expansion of
(1 + x + x2)10 is _____.

A circle touches the y-axis at the point (0, 4)
and passes through the point (2, 0). Which of
the following lines is not a tangent to this circle?

Let z be complex number such that
\(\left| {{{z - i} \over {z + 2i}}} \right| = 1\) and |z| = \({5 \over 2}\). Then the value of |z + 3i| is :

If for all real triplets (a, b, c), ƒ(x) = a + bx + cx2;
then \(\int\limits_0^1 {f(x)dx}\) is equal to :

The value of
\(\int\limits_0^{2\pi } {{{x{{\sin }^8}x} \over {{{\sin }^8}x + {{\cos }^8}x}}} dx\) is equal to :

If for x \(\ge\) 0, y = y(x) is the solution of the
differential equation
(x + 1)dy = ((x + 1)2 + y – 3)dx, y(2) = 0,
then y(3) is equal to _______.

If e1 and e2 are the eccentricities of the ellipse,
\({{{x^2}} \over {18}} + {{{y^2}} \over 4} = 1\) and the hyperbola, \({{{x^2}} \over 9} - {{{y^2}} \over 4} = 1\) respectively and (e1, e2) is a point on the ellipse,
15x2 + 3y2 = k, then ...

If ƒ'(x) = tan–1(secx + tanx), \(- {\pi \over 2} < x < {\pi \over 2}\),
and
ƒ(0) = 0, then ƒ(1) is equal to :

The integral \(\int {{{dx} \over {{{(x + 4)}^{{8 \over 7}}}{{(x - 3)}^{{6 \over 7}}}}}}\) is equal to :
(where C is a constant of integration)

Let ƒ be any function continuous on [a, b] and
twice differentiable on (a, b). If for all x \(\in\) (a, b),
ƒ'(x) > 0 and ƒ''(x) < 0, then for any c \(\in\) (a, b),
\({{f(c) - f(a)} \over {f(b) - f(c)}}\) is greater than :

If $$f(x) = \left\{ {\matrix{
{{{\sin (a + 2)x + \sin x} \over x};} & {x < 0} \cr
{b\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,;} & {x = 0} \cr
{{{{{\left( {x + 3{x^2}} \right)}^{{1 \over 3}}} - {x^{ {1 \ov...

The number of distinct solutions of the equation
\({\log _{{1 \over 2}}}\left| {\sin x} \right| = 2 - {\log _{{1 \over 2}}}\left| {\cos x} \right|\) in the interval
[0, 2\(\pi\)], is ____.

Negation of the statement :
\(\sqrt 5\) is an integer or 5 is an irrational is :

If for some \(\alpha\) and \(\beta\) in R, the intersection of the
following three places
x + 4y – 2z = 1
x + 7y – 5z = b
x + 5y + \(\alpha\)z = 5
is a line in R3, then \(\alpha\) + \(\beta\) is equal to :

If the matrices A = \(\left[ {\matrix{ 1 & 1 & 2 \cr 1 & 3 & 4 \cr 1 & { - 1} & 3 \cr } } \right]\),
B = adjA and
C = 3A, then \({{\left| {adjB} \right|} \over {\left| C \right|}}\) is equal to :

If the number of five digit numbers with distinct
digits and 2 at the 10th place is 336 k, then k
is equal to :

In a box, there are 20 cards, out of which 10
are lebelled as A and the remaining 10 are
labelled as B. Cards are drawn at random, one
after the other and with replacement, till a
second A-card is obtained. The probability that
the second A...

The number of real roots of the equation,
e4x + e3x – 4e2x + ex + 1 = 0 is :

The product \({2^{{1 \over 4}}}{.4^{{1 \over {16}}}}{.8^{{1 \over {48}}}}{.16^{{1 \over {128}}}}\) ... to \(\infty\) is equal
to :

Let the observations xi (1 \(\le\) i \(\le\) 10) satisfy the
equations, \(\sum\limits_{i = 1}^{10} {\left( {{x_1} - 5} \right)}\) = 10 and \(\sum\limits_{i = 1}^{10} {{{\left( {{x_1} - 5} \right)}^2}}\) = 40.
If \(\mu\) and $$\lambda...

Let C be the centroid of the triangle with
vertices (3, –1), (1, 3) and (2, 4). Let P be the
point of intersection of the lines x + 3y – 1 = 0
and 3x – y + 1 = 0. Then the line passing through
the points C and P also passes through the
poin...

The value of
\({\cos ^3}\left( {{\pi \over 8}} \right)\)\({\cos}\left( {{3\pi \over 8}} \right)\)+\({\sin ^3}\left( {{\pi \over 8}} \right)\)\({\sin}\left( {{3\pi \over 8}} \right)\)
is :

If the vectors, \(\overrightarrow p = \left( {a + 1} \right)\widehat i + a\widehat j + a\widehat k\),

\(\overrightarrow q = a\widehat i + \left( {a + 1} \right)\widehat j + a\widehat k\) and

$$\overrightarrow r = a\widehat i + a\wideha...