JEE Main 2020 (Online) 3rd September Morning Slot

Paper was held on
Thu, Sep 3, 2020 3:30 AM

## Chemistry

It is true that :

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

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The complex that can show optical activity is :

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

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

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

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An acidic buffer is obtained on mixing :

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The antifertility drug “Novestrol” can react with :

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

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

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Glycerol is separated in soap industries by :

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Thermal power plants can lead to :

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An organic compound [A], molecular formula C10H20O2
was hydrolyzed with dilute sulphuric acid to
give a carboxylic acid

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The electronic spectrum of [Ti(H2O)6]3+ shows a single broad peak with a maximum at 20,300 cm-1
.
The crystal field stab

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

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The atomic number of the element unnilennium is :

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The mechanism of SN1 reaction is given as :
A student writes general characteristics based
on the given mechanism as :

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Tyndall effect is observed when:

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

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Let CNaCl
and CBaSO4 be the conductances (in S) measured for saturated aqueous solutions of NaCl
and BaSO4, respectivel

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

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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) (round

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

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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
densit

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The photoelectric current from Na (Work function, w0
= 2.3 eV) is stopped by the output voltage of
the cell Pt(s) | H2

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## Mathematics

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 co

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

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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) lie

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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 c

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A hyperbola having the transverse axis of
length
$$\sqrt 2 $$ has the same foci as that of the ellipse
3x2 + 4y2 = 12, t

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The area (in sq. units) of the region
{ (x, y) : 0 $$ \le $$ y $$ \le $$ x2 + 1, 0 $$ \le $$ y $$ \le $$ x + 1,
$${1 \o

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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 parab

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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).
Wh

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

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For the frequency distribution :
Variate (x) : x1 x2 x3
.... &nbs

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

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

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

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If $$\Delta $$ = $$\left| {\matrix{
{x - 2} & {2x - 3} & {3x - 4} \cr
{2x - 3} & {3x - 4} & {4x

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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 :

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If $$\alpha $$ and $$\beta $$ are the roots of the equation
x2
+ px + 2 = 0 and $${1 \over \alpha }$$ and $${1 \over \b

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

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Let [t] denote the greatest integer
$$ \le $$ t. If for some
$$\lambda $$ $$ \in $$ R - {1, 0}, $$\mathop {\lim }\limits

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2$$\pi $$ - $$\left( {{{\sin }^{ - 1}}{4 \over 5} + {{\sin }^{ - 1}}{5 \over {13}} + {{\sin }^{ - 1}}{{16} \over {65}}}

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

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Let A = $$\left[ {\matrix{
x & 1 \cr
1 & 0 \cr
} } \right]$$, x $$ \in $$ R and A4 = [aij].
If
a11 =

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

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If $$\mathop {\lim }\limits_{x \to 0} \left\{ {{1 \over {{x^8}}}\left( {1 - \cos {{{x^2}} \over 2} - \cos {{{x^2}} \over

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The diameter of the circle, whose centre lies on
the line x + y = 2 in the first quadrant and which
touches both the lin

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If $${\left( {{{1 + i} \over {1 - i}}} \right)^{{m \over 2}}} = {\left( {{{1 + i} \over {1 - i}}} \right)^{{n \over 3}}}

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## Physics

Using screw gauge of pitch 0.1 cm and
50 divisions on its circular scale, the thickness
of an object is measured. It sho

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Model a torch battery of length $$l$$ to be made up
of a thin cylindrical bar of radius ‘a’ and a
concentric thin cylind

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Moment of inertia of a cylinder of mass M,
length L and radius R about an axis passing
through its centre and perpendicu

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When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm, the
maximum kinetic energy of the

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The magnetic field of a plane electromagnetic wave is
$$\overrightarrow B = 3 \times {10^{ - 8}}\sin \left[ {200\pi \le

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A charged particle carrying charge 1 $$\mu $$C is moving with velocity $$\left( {2\widehat i + 3\widehat j + 4\widehat k

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A 750 Hz, 20 V (rms) source is connected to a
resistance of 100 $$\Omega $$, an inductance of 0.1803 H
and a capacitance

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In a radioactive material, fraction of active
material remaining after time t is 9/16. The
fraction that was remaining a

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Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their
volumes is :

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A balloon filled with helium (32oC and 1.7 atm.)
bursts. Immediately afterwards the expansion
of helium can be considere

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A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to
that of the earth’

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In the circuit shown in the figure, the total charge is 750 $$\mu $$C and the voltage across capacitor C2
is
20 V. Then

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An elliptical loop having resistance R, of semi major axis a, and semi minor axis b is placed in
magnetic field as shown

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When a diode is forward biased, it has a
voltage drop of 0.5 V. The safe limit of current
through the diode is 10 mA. If

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A uniform thin rope of length 12 m and mass 6 kg hangs vertically from a rigid support and a block
of mass 2 kg is attac

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A block of mass m = 1 kg slides with velocity v = 6 m/s on a frictionless horizontal surface and
collides with a uniform

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In a Young’s double slit experiment, light of
500 nm is used to produce an interference
pattern. When the distance betwe

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Magnitude of magnetic field (in SI units) at the
centre of a hexagonal shape coil of side 10 cm,
50 turns and carrying c

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Consider a gas of triatomic molecules. The
molecules are assumed to be triangular and
made of massless rigid rods whose

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A bakelite beaker has volume capacity of 500 cc at 30oC. When it is partially filled with Vm
volume
(at 30oC) of mercur

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A cricket ball of mass 0.15 kg is thrown
vertically up by a bowling machine so that it
rises to a maximum height of 20 m

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Two isolated conducting spheres S1 and S2 of
radius $${2 \over 3}R$$ and $${1 \over 3}R$$ have 12 $$\mu $$C and –3 $$\mu

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When a long glass capillary tube of radius
0.015 cm is dipped in a liquid, the liquid rises
to a height of 15 cm within

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An observer can see through a small hole on the side of a jar (radius 15 cm) at a point at height of
15 cm from the bott

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A person of 80 kg mass is standing on the rim
of a circular platform of mass 200 kg rotating
about its axis at 5 revolut

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