JEE Main 2020 (Online) 8th January Morning Slot

Arrange the following compounds in increasing order of C–OH bond length : methanol, phenol,
p-ethoxyphenol

The major product of the following reaction is :

The most suitable reagent for the given conversion is :

The predominant intermolecular forces present in ethyl acetate, a liquid, are:

A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63oC while the
other boils at 60oC What is the best way to separate the two liquids and which one will be distilled out first ?

Which of the following statement is not true for glucose?

The rate of a certain biochemical reaction at physiological temperature (T) occurs 106 times faster with
enzyme than without. The change in the activation energy upon adding enzyme is :

The number of chiral centres in penicillin is _________.

The major products A and B in the following reactions are :

The complex that can show fac- and mer-isomers is :

What would be the electrode potential for the given half cell reaction at pH = 5?
______.
2H2O \(\to\) O2 + 4H\(\oplus\) + 4e– ;
\(E_{red}^0\) = 1.23 V
(R = 8.314 J mol–1 K–1 ; Temp = 298 k; oxygen under std. atm. pressure of 1 bar)

Among the gases (a) – (e), the gases that cause greenhouse effect are :
(a) CO2
(b) H2O
(c) CFCs
(d) O2
(e) O3

The decreasing order of reactivity towards dehydrohalogenation (E1) reaction of the following compounds is :

The stoichiometry and solubility product of a salt with the solubility curve given below is, respectively :

The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that
an appropriate indicator is used)

The number of bonds between sulphur and oxygen atoms in
S2O82- and the number of bonds between sulphur
and sulphur atoms in rhombic sulphur, respectively, are :

The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are :

The third ionization enthalpy is minimum for :

When gypsum is heated to 393 K, it forms :

A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below :

The following inferences are made :
(A) X has higher intermolecular interactions compared to Y.
(B) X has lower intermolecular interactions...

The volume (in mL) of 0.125 M AgNO3 required to quantitatively precipitate chloride ions in 0.3 g of
[Co(NH3)6]Cl3 is ________.
M[Co(NH3)6Cl3] = 267.46 g/mol
MAgNO3 = 169.87 g/mol

Ferrous sulphate heptahydrate is used to fortify foods with iron. The amount (in grams) of the salt required to
achieve 10 ppm of iron in 100 kg of wheat is _______.
Atomic weight : Fe = 55.85; S = 32.00;
O = 16.00

For the Balmer series in the spectrum of H atom,
\(\overline \nu = {R_H}\left\{ {{1 \over {n_1^2}} - {1 \over {n_2^2}}} \right\}\), the correct statements among (I) to (IV)
are :
(I) As wavelength decreases, the lines in the series conver...

As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the
order :

The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in
the figure is _______.

The shortest distance between the lines
\({{x - 3} \over 3} = {{y - 8} \over { - 1}} = {{z - 3} \over 1}\) and
\({{x + 3} \over { - 3}} = {{y + 7} \over 2} = {{z - 6} \over 4}\) is :

If c is a point at which Rolle's theorem holds
for the function,
f(x) = \({\log _e}\left( {{{{x^2} + \alpha } \over {7x}}} \right)\) in the
interval [3, 4], where a \(\in\) R, then ƒ''(c) is equal
to

Let the normal at a point P on the curve
y2 – 3x2 + y + 10 = 0 intersect the y-axis at \(\left( {0,{3 \over 2}} \right)\)
. If m is the slope of the tangent at P to
the curve, then |m| is equal to

Let ƒ(x) = xcos–1(–sin|x|), \(x \in \left[ { - {\pi \over 2},{\pi \over 2}} \right]\), then
which of the following is true?

For a > 0, let the curves C1 : y2 = ax and
C2 : x2 = ay intersect at origin O and a point P.
Let the line x = b (0 < b < a) intersect the chord
OP and the x-axis at points Q and R,
respectively. If the line x = b bisects the area
bounded by...

If the equation, x2 + bx + 45 = 0 (b \(\in\) R) has
conjugate complex roots and they satisfy
|z +1| = 2\(\sqrt {10}\) , then :

Let y = y(x) be a solution of the differential
equation,
\(\sqrt {1 - {x^2}} {{dy} \over {dx}} + \sqrt {1 - {y^2}} = 0\), |x| < 1.
If \(y\left( {{1 \over 2}} \right) = {{\sqrt 3 } \over 2}\), then $$y\left( { - {1 \over {\sqrt 2 }}} \right...

Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1.
If \({{dy} \over {dx}} = {1 \over 2}{d \over {dx}}\left( {{{\sin }^{ - 1}}\left( {f\left( x \right)} \right)} \right)\) and \(y\left( {\sqrt 3 } \right) = {\pi \over 6}\),
then y($${ -...

Let the line y = mx and the ellipse 2x2 + y2 = 1
intersect at a ponit P in the first quadrant. If the
normal to this ellipse at P meets the co-ordinate axes at \(\left( { - {1 \over {3\sqrt 2 }},0} \right)\) and (0, \(\beta\)), then $$\bet...

The inverse function of
f(x) = \({{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}\), x \(\in\) (-1, 1), is :

If \(\int {{{\cos xdx} \over {{{\sin }^3}x{{\left( {1 + {{\sin }^6}x} \right)}^{2/3}}}}} = f\left( x \right){\left( {1 + {{\sin }^6}x} \right)^{1/\lambda }} + c\)
where c is a constant of integration, then $$\lambda f\left( {{\pi \over 3}...

\(\mathop {\lim }\limits_{x \to 0} {\left( {{{3{x^2} + 2} \over {7{x^2} + 2}}} \right)^{{1 \over {{x^2}}}}}\) is equal to

Which one of the following is a tautology?

For which of the following ordered pairs (\(\mu\), \(\delta\)),
the system of linear equations
x + 2y + 3z = 1
3x + 4y + 5z = \(\mu\)
4x + 4y + 4z = \(\delta\)
is inconsistent ?

The number of all 3 × 3 matrices A, with
enteries from the set {–1, 0, 1} such that the sum
of the diagonal elements of AAT is 3, is

The locus of a point which divides the line
segment joining the point (0, –1) and a point on
the parabola, x2 = 4y, internally in the ratio
1 : 2, is :

If a, b and c are the greatest value of 19Cp, 20Cq
and 21Cr respectively, then :

An urn contains 5 red marbles, 4 black marbles
and 3 white marbles. Then the number of ways
in which 4 marbles can be drawn so that at the
most three of them are red is ___________.

Let A and B be two independent events such
that P(A) = \({1 \over 3}\) and P(B) = \({1 \over 6}\). Then, which of
the following is TRUE?

The least positive value of 'a' for which the
equation 2x2 + (a – 10)x + \({{33} \over 2}\)
= 2a has real
roots is

Let ƒ : R \(\to\) R be such that for all
x \(\in\) R (21+x + 21–x), ƒ(x) and (3x + 3–x) are in
A.P., then the minimum value of ƒ(x) is

The sum \(\sum\limits_{k = 1}^{20} {\left( {1 + 2 + 3 + ... + k} \right)}\) is :

The mean and the standard deviation (s.d.) of
10 observations are 20 and 2 resepectively.
Each of these 10 observations is multiplied by
p and then reduced by q, where p \(\ne\) 0 and
q \(\ne\) 0. If the new mean and new s.d. become
hal...

Let two points be A(1, –1) and B(0, 2). If a point
P(x', y') be such that the area of \(\Delta\)PAB = 5 sq.
units and it lies on the line, 3x + y – 4\(\lambda\) = 0,
then a value of \(\lambda\) is :

Let the volume of a parallelopiped whose
coterminous edges are given by
\(\overrightarrow u = \widehat i + \widehat j + \lambda \widehat k\), \(\overrightarrow v = \widehat i + \widehat j + 3\widehat k\) and
$$\overrightarrow w = 2\wideh...