JEE Main 2019 (Online) 10th April Morning Slot

Paper was held on
Wed, Apr 10, 2019 3:30 AM

## Chemistry

Increasing rate of SN1 reaction in the following compounds is :

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The regions of the atmosphere, where clouds form and where we live, respectively, are :

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Ethylamine (C2H5NH2) can be obtained from N-ethylphatalimide on treatment with :

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Amylopectin is compound of :

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Consider the following table :
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Consider the hydrated ions of Ti2+, V2+, Ti3+, and Sc3+. The correct order of their spin-only magnetic
moments is :

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Consider the statements S1 and S2
S1 : Conductivity always increases with decrease in the concentration of electrolyte.

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The isoelectronic set of ions is :

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Major products of the following reaction are :

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The major product of the following reaction is :

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The correct order of catenation is :

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A bacterial infection in an internal wound grows as N'(t) = N0 exp(t), where the time t is in hours. A does of antibioti

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A gas undergoes physical adsorption on a surface and follows the given Freundlich adsorption isotherm equation
$${x \ove

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Consider the following statements
(a) The pH of a mixture containing 400 mL of 0.1 M H2SO4 and 400 mL of 0.1 M NaOH will

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The alloy used in the construction of aircrafts is :

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At 300 K and 1 atmospheric pressure, 10 mL of a hydrocarbon required 55 mL of O2 for complete
combustion, and 40 mL of C

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A process will be spontaneous at all temperatures if :

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The principle of column chromatography is :

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At room temperature, a dilute solution of urea is prepared by dissolving 0.60 of urea in 360 g of water. If the
vapour p

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The major product of the following reaction is :

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The species that can have a trans-isomer is :
(en = ehane-1, 2-diamine, ox = oxalate)

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Three complexes,
[CoCl(NH3)5]
2+(I),
[Co(NH3)5H2O]3+ (II) and
[Co(NH3)6]
3+(III)
absorb light in the visible region. The

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Match the refining methods (Column I) with metals (Column II).
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The synonym for water gas when used in the production of methanol is :

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During the change of O2 to O2-
, the incoming electron goes to the orbital :

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The major product of the following reaction is :

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The oxoacid of sulphur that does not contain bond between sulphur atoms is

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The graph between $${\left| \psi \right|^2}$$ and r (radial distance) is shown below. This represents :

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The increasing order of the reactivity of the following compounds towards electrophilic aromatic substitution reactions

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Which of the following is a condensation polymer?

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## Mathematics

The region represented by| x – y | $$ \le $$ 2 and | x + y| $$ \le $$ 2 is bounded by a :

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All the pairs (x, y) that satisfy the inequality
$${2^{\sqrt {{{\sin }^2}x - 2\sin x + 5} }}.{1 \over {{4^{{{\sin }^2}y}

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If $$\alpha $$ and $$\beta $$ are the roots of the quadratic equation,
x2 + x sin $$\theta $$ - 2 sin $$\theta $$ = 0,

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If a > 0 and z = $${{{{\left( {1 + i} \right)}^2}} \over {a - i}}$$, has magnitude $$\sqrt {{2 \over 5}} $$, then $$

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If y = y(x) is the solution of the differential equation
$${{dy} \over {dx}} = \left( {\tan x - y} \right){\sec ^2}x$$,

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If the length of the perpendicular from the point ($$\beta $$, 0, $$\beta $$) ($$\beta $$ $$ \ne $$ 0) to the line,
$${x

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If $${\Delta _1} = \left| {\matrix{
x & {\sin \theta } & {\cos \theta } \cr
{ - \sin \theta } & { -

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Assume that each born child is equally likely to be a boy or a girl. If two families have two children each,
then the co

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Which one of the following Boolean expressions is a tautology?

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Let f(x) = x2
, x $$ \in $$ R. For any A $$ \subseteq $$ R, define g (A) = { x $$ \in $$ R : f(x) $$ \in $$ A}. If S = [

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If $$\mathop {\lim }\limits_{x \to 1} {{{x^4} - 1} \over {x - 1}} = \mathop {\lim }\limits_{x \to k} {{{x^3} - {k^3}} \o

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If a directrix of a hyperbola centred at the origin and passing through the point (4, –2$$\sqrt 3 $$ ) is 5x = 4$$\sqrt

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If the circles x2
+ y2
+ 5Kx + 2y + K = 0 and 2(x2
+ y2) + 2Kx + 3y –1 = 0, (K$$ \in $$R), intersect at the points
P

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If$$f(x) = \left\{ {\matrix{
{{{\sin (p + 1)x + \sin x} \over x}} & {,x < 0} \cr
q & {,x = 0} \cr

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The sum
$${{3 \times {1^3}} \over {{1^3}}} + {{5 \times ({1^3} + {2^3})} \over {{1^2} + {2^2}}} + {{7 \times \left( {{1^

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If $$\int {{{dx} \over {{{\left( {{x^2} - 2x + 10} \right)}^2}}}} = A\left( {{{\tan }^{ - 1}}\left( {{{x - 1} \over 3}}

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The value of $$\int\limits_0^{2\pi } {\left[ {\sin 2x\left( {1 + \cos 3x} \right)} \right]} dx$$,
where [t] denotes the

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If the coefficients of x2
and x3
are both zero, in the expansion of the expression (1 + ax + bx2
) (1 – 3x)15 in
power

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If Q(0, –1, –3) is the image of the point P in the plane 3x – y + 4z = 2 and R is the point (3, –1, –2), then the
area (

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The line x = y touches a circle at the point (1,1). If the circle also passes through the point (1, – 3), then its
radiu

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Let f : R $$ \to $$ R be differentiable at c $$ \in $$ R and f(c) = 0. If g(x) = |f(x)| , then at x = c, g is :

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Let A (3, 0, –1), B(2, 10, 6) and C(1, 2, 1) be the vertices of a triangle and M be the midpoint of AC. If G
divides BM

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If the system of linear equations
x + y + z = 5
x + 2y + 2z = 6
x + 3y + $$\lambda $$z = $$\mu $$, ($$\lambda $$, $$\mu

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The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9 which are divisible by
11 and no d

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If for some x $$ \in $$ R, the frequency distribution of the marks obtained by 20 students in a test is :
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ABC is a triangular park with AB = AC = 100 metres. A vertical tower is situated at the mid-point of BC. If
the angles o

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If a1, a2, a3, ............... an are in A.P. and a1 + a4 + a7 + ........... + a16 = 114, then a1 + a6 + a11 + a16 is eq

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Let f(x) = ex – x and g(x) = x2 – x, $$\forall $$ x $$ \in $$ R. Then the set of all x $$ \in $$ R, where the function h

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$$\mathop {\lim }\limits_{n \to \infty } \left( {{{{{(n + 1)}^{1/3}}} \over {{n^{4/3}}}} + {{{{(n + 2)}^{1/3}}} \over {{

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If the line x – 2y = 12 is tangent to the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ at the point

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## Physics

Figure shows charge (q) versus voltage (V)
graph for series and parallel combination of two
given capacitors. The capaci

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A current of 5 A passes through a copper
conductor (resistivity = 1.7 × 10–8 $$\Omega $$m) of radius
of cross-section 5

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In a meter bridge experiment, the circuit
diagram and the corresponding observation
table are shown in figure
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One plano-convex and one plano-concave lens
of same radius of curvature 'R' but of different
materials are joined side b

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A ball is thrown upward with an initial velocity
V0 from the surface of the earth. The motion
of the ball is affected by

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A cylinder with fixed capacity of 67.2 lit
contains helium gas at STP. The amount of heat
needed to raise the temperatur

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A thin disc of mass M and radius R has mass
per unit area $$\sigma $$(r) = kr2 where r is the distance
from its centre.

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Two coaxial discs, having moments of inertia
I1 and I1/2, are rotating with respective angular
velocities $$\omega $$1

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The electric field of a plane electromagnetic
wave is given by
$$\overrightarrow E = {E_0}\widehat i\cos (kz)cos(\omega

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A particle of mass m is moving along a
trajectory given by
x = x0 + a cos$$\omega $$1t
y = y0 + b sin$$\omega $$2t
The t

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A proton, an electron, and a Helium nucleus,
have the same energy. They are in circular
orbits in a plane due to magneti

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Two wires A & B are carrying currents I1 & I2
as shown in the figure. The separation between
them is d. A third

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A ray of light AO in vacuum is incident on a
glass slab at angle 60° and refracted at angle 30°
along OB as shown in the

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A message signal of frequency 100 MHz and
peak voltage 100 V is used to execute
amplitude modulation on a carrier wave o

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In an experiment, the resistance of a material
is plotted as a function of temperature (in some
range). As shown in the

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A transformer consisting of 300 turns in the
primary and 150 turns in the secondary gives
output power of 2.2 kW. If the

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In a photoelectric effect experiment the
threshold wavelength of the light is 380 nm. If
the wavelentgh of incident ligh

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The displacement of a damped harmonic
oscillator is given by
x(t ) = e–0.1t cos (10$$\pi $$t + f). Here t is in seconds.

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Two radioactive materials A and B have decay
constants 10$$\lambda $$ and $$\lambda $$, respectively. It initially
they

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A 25 × 10–3 m3 volume cylinder is filled with
1 mol of O2 gas at room temperature (300K).
The molecular diameter of O2,

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A stationary source emits sound waves of
frequency 500 Hz. Two observers moving
along a line passing through the source

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Given below in the the left column are different
modes of communication using the kinds of
waves given the right column.

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An n-p-n transistor operates as a common emitter
amplifier, with a power gain of 60 dB. The input
circuit resistance is

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n moles of an ideal gas with constant volume
heat capcity CV undergo an isobaric expansion
by certain volume. The ratio

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A moving coil galvanometer allows a full scale
current of 10–4 A. A series resistance of 2 M$$\Omega $$
is required to c

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In the given circuit, an ideal voltmeter
connected across the 10$$\Omega $$ resistance reads 2V.
The internal resistance

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A uniformly charged ring of radius 3a and total
charge q is placed in xy-plane centred at origin.
A point charge q is mo

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The value of acceleration due to gravity at
Earth's surface is 9.8 ms–2. The altitude above
its surface at which the acc

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The ratio of surface tensions of mercury and
water is given to be 7.5 while the ratio of thier
densities is 13.6. Their

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Two particles, of masses M and 2M, moving,
as shown, with speeds of 10 m/s and 5 m/s,
collide elastically at the origin.

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