JEE Main 2020 (Online) 3rd September Morning Slot

An organic compound [A], molecular formula C10H20O2
was hydrolyzed with dilute sulphuric acid to
give a carboxylic acid [B] and an alcohol [C]. Oxidation of [C] with CrO3
- H2SO4
produced [B].
Which of the following strucutres are not po...

Which one of the following compounds possesses the most acidic hydrogen?

Glycerol is separated in soap industries by :

Of the species, NO, NO+, NO2+ and NO-
, the one with minimum bond strength is :

It is true that :

The antifertility drug “Novestrol” can react with :

The Kjeldahl method of Nitrogen estimation fails for which of the following reaction products?

The electronic spectrum of [Ti(H2O)6]3+ shows a single broad peak with a maximum at 20,300 cm-1
.
The crystal field stabilization energy (CFSE) of the complex ion, in kJ mol-1, is :

The complex that can show optical activity is :

Let CNaCl
and CBaSO4 be the conductances (in S) measured for saturated aqueous solutions of NaCl
and BaSO4, respectively, at a temperature T.
Which of the following is false?

The photoelectric current from Na (Work function, w0
= 2.3 eV) is stopped by the output voltage of
the cell Pt(s) | H2
(g, 1 Bar) | HCl (aq., pH =1) | AgCl(s) | Ag(s).
The pH of aq. HCl required to stop the photoelectric current form K(w0
...

Thermal power plants can lead to :

The mechanism of SN1 reaction is given as :

A student writes general characteristics based
on the given mechanism as :
(a) The reaction is favoured by weak
nucleophiles.
(b) R+ would be easily formed if the
substituents are bulky.
(c) The ...

Which of the following compounds produces an optically inactive compound on hydrogenation?

The total number of monohalogenated organic
products in the following (including
stereoisomers) reaction is ______.

If the boiling point of H2O is 373 K, the boiling point of H2S will be :

An acidic buffer is obtained on mixing :

Aqua regia is used for dissolving noble metals (Au, Pt, etc.). The gas evolved in this process is :

In a molecule of pyrophosphoric acid, the number of P - OH, P = O and P - O - P bonds/moiety(ies)
respectively are :

The atomic number of the element unnilennium is :

An element with molar mass 2.7 \(\times\) 10-2 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its
density is 2.7 \(\times\) 103
kg m-3, the radius of the element is approximately ______ \(\times\) 10-12 m (to the
neares...

Henry’s constant (in kbar) for four gases \(\alpha\), \(\beta\), \(\gamma\) and \(\delta\) in water at 298 K is given below :

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1...

The mole fraction of glucose (C6H12O6
) in an aqueous binary solution is 0.1. The mass percentage of
water in it, to the nearest integer, is _______.

The volume strength of 8.9 M H2O2
solution calculated at 273 K and 1 atm is ______. (R = 0.0821 L
atm K-1 mol-1) (rounded off ot the nearest integer)

Tyndall effect is observed when:

The foot of the perpendicular drawn from the
point (4, 2, 3) to the line joining the points
(1, –2, 3) and (1, 1, 0) lies on the plane :

The function, f(x) = (3x – 7)x2/3, x \(\in\) R, is
increasing for all x lying in :

The area (in sq. units) of the region
{ (x, y) : 0 \(\le\) y \(\le\) x2 + 1, 0 \(\le\) y \(\le\) x + 1,
\({1 \over 2}\) \(\le\) x \(\le\) 2 } is :

If the number of integral terms in the expansion
of (31/2 + 51/8)n is exactly 33, then the least value
of n is :

The diameter of the circle, whose centre lies on
the line x + y = 2 in the first quadrant and which
touches both the lines x = 3 and y = 2, is
_______ .

If \({\left( {{{1 + i} \over {1 - i}}} \right)^{{m \over 2}}} = {\left( {{{1 + i} \over {1 - i}}} \right)^{{n \over 3}}} = 1\), (m, n
\(\in\) N) then the
greatest common divisor of the least values of
m and n is _______ .

\(\int\limits_{ - \pi }^\pi {\left| {\pi - \left| x \right|} \right|dx}\) is equal to :

The solution curve of the differential equation,
(1 + e-x)(1 + y2)\({{dy} \over {dx}}\) = y2,
which passes through
the point (0, 1), is :

If y2 + loge (cos2x) = y, \(x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)\), then :

A hyperbola having the transverse axis of
length
\(\sqrt 2\) has the same foci as that of the ellipse
3x2 + 4y2 = 12, then this hyperbola does not
pass through which of the following points?

2\(\pi\) - \(\left( {{{\sin }^{ - 1}}{4 \over 5} + {{\sin }^{ - 1}}{5 \over {13}} + {{\sin }^{ - 1}}{{16} \over {65}}} \right)\) is equal to :

If \(\mathop {\lim }\limits_{x \to 0} \left\{ {{1 \over {{x^8}}}\left( {1 - \cos {{{x^2}} \over 2} - \cos {{{x^2}} \over 4} + \cos {{{x^2}} \over 2}\cos {{{x^2}} \over 4}} \right)} \right\}\) = 2-k
then the value of k is _______ .

Let [t] denote the greatest integer
\(\le\) t. If for some
\(\lambda\) \(\in\) R - {1, 0}, \(\mathop {\lim }\limits_{x \to 0} \left| {{{1 - x + \left| x \right|} \over {\lambda - x + \left[ x \right]}}} \right|\) = L, then L is
equal ...

The proposition p
\(\to\) ~ (p
\(\wedge\) ~q) is equivalent
to :

If \(\Delta\) = \(\left| {\matrix{ {x - 2} & {2x - 3} & {3x - 4} \cr {2x - 3} & {3x - 4} & {4x - 5} \cr {3x - 5} & {5x - 8} & {10x - 17} \cr } } \right|\) =
Ax3 + Bx2 + Cx + D, then B + C is equal to :

Let A = \(\left[ {\matrix{ x & 1 \cr 1 & 0 \cr } } \right]\), x \(\in\) R and A4 = [aij].
If
a11 = 109, then a22 is equal to _______ .

Let P be a point on the parabola, y2
= 12x and
N be the foot of the perpendicular drawn from
P on the axis of the parabola. A line is now
drawn through the mid-point M of PN, parallel
to its axis which meets the parabola at Q. If the
y-int...

The value of (2.1P0
– 3.2P1 + 4.3P2 .... up to
51th term) + (1! – 2! + 3! – ..... up to 51th term)
is equal to :

A dice is thrown two times and the sum of the
scores appearing on the die is observed to be
a multiple of 4. Then the conditional probability
that the score 4 has appeared atleast once is :

If \(\alpha\) and \(\beta\) are the roots of the equation
x2
+ px + 2 = 0 and \({1 \over \alpha }\) and \({1 \over \beta }\) are the roots of
the equation 2x2
+ 2qx + 1 = 0, then
$$\left( {\alpha - {1 \over \alpha }} \right)\left( {\be...

The value of \({\left( {0.16} \right)^{{{\log }_{2.5}}\left( {{1 \over 3} + {1 \over {{3^2}}} + ....to\,\infty } \right)}}\) is equal to ______.

If the first term of an A.P. is 3 and the sum of
its first 25 terms is equal to the sum of its next
15 terms, then the common difference of this
A.P. is :

Consider the two sets :
A = {m \(\in\) R : both the roots of x2
– (m + 1)x + m + 4 = 0 are real}
and B = [–3, 5).
Which of the following is not true?

For the frequency distribution :
Variate (x) :      x1   x2   x3
....  x15
Frequency (f) : f1
   f2
  f3
...... f15
where 0 < x1
< x2
< x3
< ... < x15 = 10 and
\(\sum\limits_{i = 1}^{15} {{f_i}}\) > 0, the standard deviation cannot be ...

The lines
\(\overrightarrow r = \left( {\widehat i - \widehat j} \right) + l\left( {2\widehat i + \widehat k} \right)\) and
$$\overrightarrow r = \left( {2\widehat i - \widehat j} \right) + m\left( {\widehat i + \widehat j + \widehat k} ...