JEE Main 2019 (Online) 9th April Evening Slot

Paper was held on
Tue, Apr 9, 2019 9:30 AM

## Chemistry

Increasing order of reactivity of the following
compounds for SN1 substitution is:

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The one that is not a carbonate ore is :

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The amorphous form of silica is :

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During compression of a spring the work done
is 10kJ and 2kJ escaped to the surroundings as
heat. The change in internal

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The major products A and B for the following
reactions are, respectively:

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Which one of the following about an electron
occupying the 1s orbital in a hydrogen atom is
incorrect ? (The Bohr radius

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The maximum possible denticities of a ligand
given below towards a common transition and
inner-transition metal ion, res

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The correct statements among I to III regarding
group 13 element oxides are,
(I) Boron trioxide is acidic.
(II) Oxides o

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Among the following species, the diamagnetic
molecule is

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The peptide that gives positive ceric
ammonium nitrate and carbylamine tests is :

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Assertion: For the extraction of iron, haematite
ore is used.
Reason: Haematite is a carbonate ore of iron.

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10 mL of 1mM surfactant solution forms a
monolayer covering 0.24 cm2 on a polar
substrate. If the polar head is approxim

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At a given temperature T, gases Ne, Ar, Xe and
Kr are found to deviate from ideal gas
behaviour. Their equation of state

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A solution of Ni(NO3)2 is electrolysed between
platinum electrodes using 0.1 Faraday
electricity. How many mole of Ni wi

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Consider the given plot of enthalpy of the
following reaction between A and B.
A+ B $$ \to $$ C + D
Identify the incorre

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In the following reaction
Rate of the reaction is the highest for :

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The structures of beryllium chloride in the solid
state and vapour, phase, respectively,are :

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Which of the following potential energy (PE)
diagrams represents the SN1 reaction?

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The major product of the following reaction is:

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The maximum number of possible oxidation
states of actinoides are shown by :

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Molal depression constant for a solvent is
4.0 kg mol–1. The depression in the freezing
point of the solvent for 0.03 mo

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Noradrenaline is a/an

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p-Hydroxybenzophenone upon reaction with
bromine in carbon tetrachloride gives:

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Hinsberg's reagent is :

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In an acid-base titration, 0.1 M HCl solution
was added to the NaOH solution of unknown
strength. Which of the following

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The correct statements among I to III are :
(I) Valence bond theory cannot explain the
color exhibited by transition met

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Which of the following compounds is a
constituent of the polymer

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What would be the molality of 20% (mass/
mass) aqueous solution of KI?
(molar mass of KI = 166 g mol–1)

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HF has highest boiling point among hydrogen
halides, because it has :

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The layer of atmosphere between 10 km to
50 km above the sea level is called as :

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## Mathematics

If the tangent to the parabola y2 = x at a point
($$\alpha $$, $$\beta $$), ($$\beta $$ > 0) is also a tangent to the

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If $$\cos x{{dy} \over {dx}} - y\sin x = 6x$$, (0 < x < $${\pi \over 2}$$)
and $$y\left( {{\pi \over 3}} \right)

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Some identical balls are arranged in rows to form
an equilateral triangle. The first row consists of one
ball, the secon

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If some three consecutive in the binomial
expansion of (x + 1)n is powers of x are in the ratio
2 : 15 : 70, then the av

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Let z $$ \in $$ C be such that |z| < 1.
If $$\omega = {{5 + 3z} \over {5(1 - z)}}$$z, then :

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The common tangent to the circles x 2 + y2 = 4 and
x2 + y2 + 6x + 8y – 24 = 0 also passes through the
point :

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The value of sin 10º sin30º sin50º sin70º is :-

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The value of the integral $$\int\limits_0^1 {x{{\cot }^{ - 1}}(1 - {x^2} + {x^4})dx} $$ is :-

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If the sum and product of the first three term in
an A.P. are 33 and 1155, respectively, then a value
of its 11th term i

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If the system of equations 2x + 3y – z = 0, x + ky
– 2z = 0 and 2x – y + z = 0 has a non-trival solution
(x, y, z), then

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If f : R $$ \to $$ R is a differentiable function and
f(2) = 6, then $$\mathop {\lim }\limits_{x \to 2} {{\int\limits_6^

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Two poles standing on a horizontal ground are of
heights 5m and 10 m respectively. The line joining
their tops makes an

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A water tank has the shape of an inverted right
circular cone, whose semi-vertical angle is
$${\tan ^{ - 1}}\left( {{1 \

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If the two lines x + (a – 1) y = 1 and
2x + a2y = 1 (a$$ \in $$R – {0, 1}) are perpendicular, then
the distance of their

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The vertices B and C of a $$\Delta $$ABC lie on the line,
$${{x + 2} \over 3} = {{y - 1} \over 0} = {z \over 4}$$ such

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If $$f(x) = [x] - \left[ {{x \over 4}} \right]$$ ,x $$ \in $$
4
, where [x] denotes the
greatest integer function, then

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The total number of matrices
$$A = \left( {\matrix{
0 & {2y} & 1 \cr
{2x} & y & { - 1} \cr

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The area (in sq. units) of the smaller of the two
circles that touch the parabola, y2 = 4x at the point
(1, 2) and the

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$$\int {{e^{\sec x}}}$$ $$(\sec x\tan xf(x) + \sec x\tan x + se{x^2}x)dx$$
= esecxf(x) + C then a possible choice of f(x

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If the function $$f(x) = \left\{ {\matrix{
{a|\pi - x| + 1,x \le 5} \cr
{b|x - \pi | + 3,x > 5} \cr
} }

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If m is chosen in the quadratic equation
(m2 + 1)
x2 – 3x + (m2 + 1)2 = 0
such that the sum of its
roots is greatest,

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If p $$ \Rightarrow $$ (q $$ \vee $$ r) is false, then the truth values of p,
q, r are respectively :-

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Let P be the plane, which contains the line of
intersection of the planes, x + y + z – 6 = 0 and
2x + 3y + z + 5 = 0 and

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Two newspapers A and B are published in a city.
It is known that 25% of the city populations reads
A and 20% reads B whi

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The domain of the definition of the function
$$f(x) = {1 \over {4 - {x^2}}} + {\log _{10}}({x^3} - x)$$ is

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If a unit vector $$\overrightarrow a $$ makes angles $$\pi $$/3 with $$\widehat i$$ , $$\pi $$/ 4
with $$\widehat j$$ an

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A rectangle is inscribed in a circle with a diameter
lying along the line 3y = x + 7. If the two adjacent
vertices of th

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The mean and the median of the following ten
numbers in increasing order 10, 22, 26, 29, 34, x,
42, 67, 70, y are 42 and

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The sum of the series 1 + 2 × 3 + 3 × 5 + 4 × 7 +....
upto 11th term is :-

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The area (in sq. units) of the region
A = {(x, y) : $${{y{}^2} \over 2}$$ $$ \le $$ x $$ \le $$ y + 4} is :-

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## Physics

Two coils 'P' and 'Q' are separated by some
distance. When a current of 3 A flows through
coil 'P', a magnetic flux of 1

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A metal wire of resistance 3 $$\Omega $$ is elongated to
make a uniform wire of double its previous
length. This new wi

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The resistance of a galvanometer is 50 ohm and
the maximum current which can be passed
through it is 0.002 A. What resis

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A moving coil galvanometer has a coil with
175 turns and area 1 cm2. It uses a torsion band
of torsion constant 10–6 N-m

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The position of a particle as a function of time
t, is given byx(t) = at + bt2 – ct3
where a, b and c are constants. Whe

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A thin convex lens L (refractive index = 1.5)
is placed on a plane mirror M. When a pin is
placed at A, such that OA = 1

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A massless spring (k = 800 N/m), attached with
a mass (500 g) is completely immersed in 1 kg
of water. The spring is str

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A very long solenoid of radius R is carrying
current I(t) = kte–at(k > 0), as a function of time
(t $$ \ge $$ 0). cou

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A convex lens of focal length 20 cm produces
images of the same magnification 2 when an
object is kept at two distances

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A particle 'P' is formed due to a completely
inelastic collision of particles 'x' and 'y' having
de-Broglie wavelengths

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Diameter of the objective lens of a telescope is
250 cm. For light of wavelength 600nm.
coming from a distant object, th

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Moment of inertia of a body about a given axis
is 1.5 kg m2. Initially the body is at rest. In order
to produce a rotati

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The logic gate equivalent to the given logic
circuit is :-

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The physical sizes of the transmitter and
receiver antenna in a communication system
are :-

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The area of a square is 5.29 cm2. The area of
7 such squares taking into account the
significant figures is :-

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50 W/m2 energy density of sunlight is normally
incident on the surface of a solar panel. Some
part of incident energy (2

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The specific heats, CP and CV of a gas of
diatomic molecules, A, are given (in units of
J mol–1 K–1) by 29 and 22, resp

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Four point charges –q, +q, +q and –q are placed
on y-axis at y = –2d, y = –d, y = +d and
y = +2d, respectively. The magn

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A test particle is moving in a circular orbit in
the gravitational field produced by a mass
density $$\rho (r) = {K \ove

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The position vector of a particle changes with
time according to the relation
$$\overrightarrow r (t) = 15{t^2}\widehat

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A particle of mass 'm' is moving with speed '2v'
and collides with a mass '2m' moving with
speed 'v' in the same directi

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A wooden block floating in a bucket of water
has 4/5 of its volume submerged. When certain
amount of an oil is poured in

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Two cars A and B are moving away from each
other in opposite directions. Both the cars are
moving with a speed of 20 ms–

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A wedge of mass M = 4m lies on a frictionless
plane. A particle of mass m approaches the
wedge with speed v. There is no

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Two materials having coefficients of thermal
conductivity '3K' and 'K' and thickness 'd' and
'3d', respectively, are joi

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A He+ ion is in its first excited state. Its
ionization energy is :-

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A thin smooth rod of length L and mass M is
rotating freely with angular speed $$\omega $$0 about an
axis perpendicular

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The parallel combination of two air filled
parallel plate capacitors of capacitance C and
nC is connected to a battery o

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In a conductor, if the number of conduction
electrons per unit volume is 8.5 × 1028 m–3 and
mean free time is 25ƒs (femt

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A string 2.0 m long and fixed at its ends is
driven by a 240 Hz vibrator. The string vibrates
in its third harmonic mode

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