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 :

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

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

View Question Amylopectin is compound of :

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

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

View Question The isoelectronic set of ions is :

View Question Major products of the following reaction are :

View Question The major product of the following reaction is :

View Question The correct order of catenation is :

View Question 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

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

View Question 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

View Question The alloy used in the construction of aircrafts is :

View Question 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

View Question A process will be spontaneous at all temperatures if :

View Question The principle of column chromatography is :

View Question 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

View Question The major product of the following reaction is :

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

View Question 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

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

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

View Question The major product of the following reaction is :

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

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

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

View Question Which of the following is a condensation polymer?

View Question ## Mathematics

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

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

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

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

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

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

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

View Question 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

View Question Which one of the following Boolean expressions is a tautology?

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

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

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

View Question 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

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

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

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

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

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

View Question 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 (

View Question 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

View Question 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 :

View Question 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

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

View Question 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

View Question If for some x $$ \in $$ R, the frequency distribution of the marks obtained by 20 students in a test is :
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View Question 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

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

View Question 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

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

View Question 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

View Question ## Physics

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

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

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

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

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

View Question 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.

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

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

View Question 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

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

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

View Question 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

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

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

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

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

View Question 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.

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

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

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

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

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

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

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

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

View Question 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

View Question 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

View Question 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

View Question 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.

View Question