JEE Main 2020 (Online) 5th September Morning Slot

In the following reaction sequence the major
products A and B are :

The increasing order of the acidity of the \(\alpha\)-hydrogen of the following compounds is :

Which of the following derivatives of alcohols
is unstable in an aqueous base?

The number of chiral carbon(s) present in
peptide, Ile-Arg-Pro, is _____.

Which of the following is not an essential
amino acid :

The potential energy curve for the H2
molecule as a function of internuclear distance is :

The structure of PCl5
in the solid state is :

Consider the following reaction:
N2O4(g) ⇌ 2NO2(g); \(\Delta\)Ho = +58 kJ
For each of the following cases (a, b), the direction in which the equilibrium shifts is :
(a) Temperature is decreased.
(b) Pressure is increased by adding N2
at c...

A flask contains a mixture of compounds A and
B. Both compounds decompose by first-order
kinetics. The half-lives for A and B are 300 s
and 180 s, respectively. If the concentrations
of A and B are equal initially, the time required
for the...

If a person is suffering from the deficiency of
nor-adrenaline, what kind of drug can be
suggested?

The increasing order of basicity of the following
compounds is :

The most appropriate reagent for conversion of
C2H5CN into CH3CH2CH2NH2 is

The total number of coordination sites in ethylenediaminetetraacetate (EDTA4–) is _____.

The values of the crystal field stabilization
energies for a high spin d6 metal ion in
octahedral and tetrahedral fields, respectively,
are :

The correct electronic configuration and spin-only magnetic moment (BM) of Gd3+ (Z = 64),
respectively, are :

In the sixth period, the orbitals that are filled are :

An oxidation-reduction reaction in which 3 electrons are transferred has a \(\Delta\)Gº of 17.37 kJ mol–1 at
25 oC. The value of Eo
cell (in V) is ______ × 10–2.
(1 F = 96,500 C mol–1)

The condition that indicates a polluted environment
is :

The minimum number of moles of O2
required for complete combustion of 1 mole of propane and 2
moles of butane is _____.

The equation that represents the water-gas shift
reaction is :

A soft drink was bottled with a partial pressure of CO2
of 3 bar over the liquid at room temperature.
The partial pressure of CO2
over the solution approaches a value of 30 bar when 44 g of CO2
is
dissolved in 1 kg of water at room tempe...

An Ellingham diagram provides information
about :

A diatomic molecule X2
has a body-centred cubic
(bcc) structure with a cell edge of 300 pm. The
density of the molecule is 6.17 g cm–3. The number
of molecules present in 200 g of X2
is :
(Avogadro constant (N
A) = 6 \(\times\) 1023 mol...

The difference between the radii of 3rd and 4th
orbits of Li2+ is R1
. The difference between the
radii of 3rd and 4th orbits of He+ is
\(\Delta\)R2
. Ratio \(\Delta\)R1 : \(\Delta\)R2 is :

Identify the correct molecular picture showing
that happens at the critical micellar
concentration (CMC) of an aqueous solution of
a surfactant ( ◍ polar head; ∼ non-polar tail;
● water).

If (a, b, c) is the image of the point (1, 2, -3) in the line \({{x + 1} \over 2} = {{y - 3} \over { - 2}} = {z \over { - 1}}\), then a + b + c is :

If the point P on the curve, 4x2 + 5y2 = 20 is farthest from the point Q(0, -4), then PQ2 is equal to:

The natural number m, for which the coefficient of x in the binomial expansion of
\({\left( {{x^m} + {1 \over {{x^2}}}} \right)^{22}}\) is 1540, is .............

If the four complex numbers \(z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)\) and \(z-2Re(z)\) represent the vertices of a square of
side 4 units in the Argand plane, then \(|z|\) is equal to :

The value of \(\int\limits_{{{ - \pi } \over 2}}^{{\pi \over 2}} {{1 \over {1 + {e^{\sin x}}}}dx}\) is:

If y = y(x) is the solution of the differential equation \({{5 + {e^x}} \over {2 + y}}.{{dy} \over {dx}} + {e^x} = 0\) satisfying
y(0) = 1, then a value of y(loge13) is :

If the co-ordinates of two points A and B are \(\left( {\sqrt 7 ,0} \right)\) and \(\left( { - \sqrt 7 ,0} \right)\) respectively and P is any
point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :

If \(\int {\left( {{e^{2x}} + 2{e^x} - {e^{ - x}} - 1} \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}}dx}\) = \(g\left( x \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}} + c\)
where c is a constant of integration,
then g(0) is equal to :

If S is the sum of the first 10 terms of the series
$${\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) +...

Let \(f(x) = x.\left[ {{x \over 2}} \right]\), for -10< x < 10, where [t] denotes the greatest integer function. Then the number of points of discontinuity of f is equal to _____.

If \(\alpha\) is positive root of the equation, p(x) = x2 - x - 2 = 0, then
\(\mathop {\lim }\limits_{x \to {\alpha ^ + }} {{\sqrt {1 - \cos \left( {p\left( x \right)} \right)} } \over {x + \alpha - 4}}\) is equal to :

If the function \(f\left( x \right) = \left\{ {\matrix{ {{k_1}{{\left( {x - \pi } \right)}^2} - 1,} & {x \le \pi } \cr {{k_2}\cos x,} & {x > \pi } \cr } } \right.\) is twice differentiable, then the ordered pair (k1, k2) is equ...

The negation of the Boolean expression x \(\leftrightarrow\) ~ y is equivalent to :

Let \(\lambda \in\) R . The system of linear equations
2x1
- 4x2 + \(\lambda\)x3 = 1
x1 - 6x2 + x3 = 2
\(\lambda\)x1 - 10x2 + 4x3 = 3
is inconsistent for:

If the minimum and the maximum values of the function \(f:\left[ {{\pi \over 4},{\pi \over 2}} \right] \to R\), defined by
$$f\left( \theta \right) = \left| {\matrix{
{ - {{\sin }^2}\theta } & { - 1 - {{\sin }^2}\theta } & 1 \cr
...

If the common tangent to the parabolas, y2 = 4x and x2 = 4y also touches the circle, x2 + y2 = c2, then c is equal to :

The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ’SYLLABUS’ such that two letters are distinct and two letters are alike, is :

Four fair dice are thrown independently 27 times. Then the expected number of times, at
least two dice show up a three or a five, is _________.

The product of the roots of the equation 9x2 - 18|x| + 5 = 0 is :

If 210 + 29.31 + 28
.32 +.....+ 2.39 + 310 = S - 211, then S is equal to :

If \({3^{2\sin 2\alpha - 1}}\), 14 and \({3^{4 - 2\sin 2\alpha }}\) are the first three terms of an A.P. for some \(\alpha\), then the sixth
terms of this A.P. is:

A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be :

The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference of the remaining two observations is :

If the line, 2x - y + 3 = 0 is at a distance \({1 \over {\sqrt 5 }}\)
and \({2 \over {\sqrt 5 }}\) from the lines 4x - 2y + \(\alpha\) = 0 and 6x - 3y + \(\beta\) = 0, respectively, then the sum of all possible values of \(\alpha\) and $...

If the volume of a parallelopiped, whose coterminus edges are given by the vectors \(\overrightarrow a = \widehat i + \widehat j + n\widehat k\), \(\overrightarrow b = 2\widehat i + 4\widehat j - n\widehat k\) and $$\overrightarrow c = ...