JEE Main 2020 (Online) 2nd September Evening Slot

The major product of the following reaction is :

An organic compound ‘A’ (C9H10O) when
treated with conc. HI undergoes cleavage to
yield compounds ‘B’ and ‘C’. ‘B’ gives yellow
precipitate with AgNO3 where as ‘C’
tautomerizes to ‘D’. ‘D’ gives positive iodoform
test. ‘A’ could be

Two compounds A and B with same molecular
formula (C3H6O) undergo Grignard’s reaction
with methylmagnesium bromide to give
products C and D. Products C and D show
following chemical tests.

C and D respectively are :

Arrange the following labelled hydrogens in
decreasing order of acidity :

The correct observation in the following
reactions is :

Match the type of interaction in column A with
the distance dependence of their interaction
energy in column B

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The molecular geometry of SF6 is octahedral.
What is the geometry of SF4 (including lone
pair(s) of electrons, if any)?

The shape / structure of [XeF5]– and XeO3F2,
respectively, are

The results given in the below table were
obtained during kinetic studies of the following
reaction
2A + B \(\to\) C + D

X and Y in the given table are respectively :

Simplified absorption spectra of three
complexes ((i), (ii) and (iii)) of Mn+ ion are
provided below; their \(\lambda\)max values are marked
as A, B and C respectively. The correct match
between the complexes and their \(\lambda\)max valu...

The one that is not expected to show isomerism
is :

For the disproportionation reaction
2Cu+(aq) ⇌ Cu(s) + Cu2+(aq) at 298 K. ln K
(where K is the equilibrium constant) is
___________ × 10–1.
Given :
(\(E_{C{u^{2 + }}/C{u^ + }}^0 = 0.16V\)
\(E_{C{u^ + }/Cu}^0 = 0.52V\)
$${{RT} \over F} = 0.0...

Consider the reaction sequence given below:

Which of the following statements is true?

The major product obtained from
E2 - elimination of 3-bromo-2-fluoropentane is

Cast iron is used for the manufacture of :

Three elements X, Y and Z are in the 3rd period
of the periodic table. The oxides of X, Y and Z,
respectively, are basic, amphoteric and acidic.
The correct order of the atomic numbers of X,
Y and Z is :

If you spill a chemical toilet cleaning liquid on
your hand, your first aid would be

The oxidation states of transition metal atoms
in K2Cr2O7, KMnO4 and K2FeO4, respectively,
are x, y and z. The sum of x, y and z is _______.

Two elements A and B have similar chemical
properties. They don’t form solid
hydrogencarbonates, but react with nitrogen to
form nitrides. A and B, respectively, are :

The size of a raw mango shrinks to a much
smaller size when kept in a concentrated salt
solution. Which one of the following processes
can explain this?

The ratio of the mass percentages of ‘C & H’
and ‘C & O’ of a saturated acyclic organic
compound ‘X’ are 4 : 1 and 3 : 4 respectively.
Then, the moles of oxygen gas required for
complete combustion of two moles of organic
compound ‘X’ is __...

The work function of sodium metal is
4.41 \(\times\) 10–19 J. If photons of wavelength 300 nm
are incident on the metal, the kinetic energy of
the ejected electrons will be (h = 6.63 \(\times\) 10–34 J s;
c = 3 \(\times\) 108 m/s) ___...

The number of subshells associated with n = 4
and m = –2 quantum numbers is

Amongst the following statements regarding
adsorption, those that are valid are
(a) \(\Delta\)H becomes less negative as adsorption
proceeds
(b) On a given adsorbent, ammonia is
adsorbed more than nitrogen gas
(c) On adsorption, the residu...

The heat of combustion of ethanol into carbon
dioxide and water is – 327 kcal at constant
pressure. The heat evolved (in cal) at constant
volume and 27oC (if all gases behave ideally) is
(R = 2 cal mol–1 K–1) ________.

A plane passing through the point (3, 1, 1)
contains two lines whose direction ratios are 1,
–2, 2 and 2, 3, –1 respectively. If this plane also
passes through the point (\(\alpha\), –3, 5), then
\(\alpha\) is
equal to:

Let f : (–1,
\(\infty\))
\(\to\) R be defined by f(0) = 1 and
f(x) = \({1 \over x}{\log _e}\left( {1 + x} \right)\), x \(\ne\) 0. Then the function f :

The equation of the normal to the curve
y = (1+x)2y + cos
2(sin–1x) at x = 0 is :

Consider a region R = {(x, y) \(\in\) R : x2 \(\le\) y \(\le\) 2x}.
if a line y = \(\alpha\) divides the area of region R into
two equal parts, then which of the following is
true?

For a positive integer n,
\({\left( {1 + {1 \over x}} \right)^n}\) is expanded
in increasing powers of x. If three consecutive
coefficients in this expansion are in the ratio,
2 : 5 : 12, then n is equal to________.

The imaginary part of
\({\left( {3 + 2\sqrt { - 54} } \right)^{{1 \over 2}}} - {\left( {3 - 2\sqrt { - 54} } \right)^{{1 \over 2}}}\) can be :

Let [t] denote the greatest integer less than or
equal to t. Then the value of \(\int\limits_1^2 {\left| {2x - \left[ {3x} \right]} \right|dx}\) is ______.

If a curve y = f(x), passing through the point
(1, 2), is the solution of the differential equation,
2x2dy= (2xy + y2)dx, then \(f\left( {{1 \over 2}} \right)\) is equal to :

If y = \(\sum\limits_{k = 1}^6 {k{{\cos }^{ - 1}}\left\{ {{3 \over 5}\cos kx - {4 \over 5}\sin kx} \right\}}\),
then \({{dy} \over {dx}}\) at x = 0 is _______.

Let f : R \(\to\) R be a function which satisfies
f(x + y) = f(x) + f(y) \(\forall\) x, y \(\in\) R. If f(1) = 2 and
g(n) = \(\sum\limits_{k = 1}^{\left( {n - 1} \right)} {f\left( k \right)}\), n \(\in\) N then the value of n, for
w...

For some \(\theta \in \left( {0,{\pi \over 2}} \right)\), if the eccentricity of the
hyperbola, x2–y2sec2\(\theta\) = 10 is
\(\sqrt 5\) times the
eccentricity of the ellipse, x2sec2\(\theta\) + y2 = 5, then
the length of the latus rect...

\(\mathop {\lim }\limits_{x \to 0} {\left( {\tan \left( {{\pi \over 4} + x} \right)} \right)^{{1 \over x}}}\) is equal to :

Which of the following is a tautology ?

Let a, b, c \(\in\) R be all non-zero and satisfy
a3 + b3 + c3 = 2. If the matrix
A = \(\left( {\matrix{ a & b & c \cr b & c & a \cr c & a & b \cr } } \right)\)
satisfies ATA = I, then a value of abc can be :

Let A = {X = (x, y, z)T: PX = 0 and
x2 + y2 + z2 = 1} where
\(P = \left[ {\matrix{ 1 & 2 & 1 \cr { - 2} & 3 & { - 4} \cr 1 & 9 & { - 1} \cr } } \right]\),
then the set A :

The area (in sq. units) of an equilateral triangle
inscribed in the parabola y2 = 8x, with one of
its vertices on the vertex of this parabola, is :

Let n > 2 be an integer. Suppose that there are
n Metro stations in a city located along a
circular path. Each pair of stations is connected
by a straight track only. Further, each pair of
nearest stations is connected by blue line,
whereas...

Let EC denote the complement of an event E.
Let E1
, E2
and E3
be any pairwise independent
events with P(E1) > 0
and P(E1 \(\cap\) E2 \(\cap\) E3) = 0.
Then P(\(E_2^C \cap E_3^C/{E_1}\)) is equal to :

Let f(x) be a quadratic polynomial such that
f(–1) + f(2) = 0. If one of the roots of f(x) = 0
is 3, then its other root lies in :

If the sum of first 11 terms of an A.P.,
a1, a2, a3, ....
is 0 (a \(\ne\) 0), then the sum of the A.P.,
a1
, a3
, a5
,....., a23 is ka1
, where k is equal to :

Let S be the sum of the first 9 terms of the
series :
{x + k\(a\)} + {x2 + (k + 2)\(a\)} + {x3 + (k + 4)\(a\)}
+ {x4 + (k + 6)\(a\)} + .... where a \(\ne\) 0 and x \(\ne\) 1.
If S = $${{{x^{10}} - x + 45a\left( {x - 1} \right)} \over {...

If the variance of the terms in an increasing A.P., b1
, b2
, b3
,....,b11 is 90, then the common
difference of this A.P. is_______.

The set of all possible values of
\(\theta\) in the interval
(0, \(\pi\)) for which the points (1, 2) and (sin
\(\theta\), cos \(\theta\)) lie on the same side of the line x + y =
1 is :

If the equation cos4 \(\theta\) + sin4 \(\theta\) +
\(\lambda\) = 0 has real
solutions for
\(\theta\), then
\(\lambda\) lies in the interval :

Let the position vectors of points 'A' and 'B' be
\(\widehat i + \widehat j + \widehat k\) and \(2\widehat i + \widehat j + 3\widehat k\), respectively. A point
'P' divides the line segment AB internally in the
ratio
\(\lambda\) : 1 (
$$\l...