JEE Main 2019 (Online) 10th April Evening Slot

Paper was held on
Wed, Apr 10, 2019 9:30 AM

## Chemistry

The major product obtained in the given reaction is :

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Which of the following is not a correct method of the preparation of benzylamine from cyanobenzene ?

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The noble gas that does not occur in the atmosphere is :

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The correct statement is :

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Compound A(C9H10O) shows positive iodoform test. Oxidation of A with KMnO4/KOH given acid
B(C8H6O4). Anhydride of B is u

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The correct option among the following is :

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Number of stereo centers present in linear and cyclic structures of glucose are respectively :

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The highest possible oxidation states of uranium and plutonium, respectively are :

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Points I, II and III in the following plot respectively correspond to (Vmp : most probable velocity)

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The INCORRECT statement is :

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In chromatography, which of the following statements is incorrect for Rf ?

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The number of pentagons in C60 and trigons (triangles) in white phosphorus, respectively, are :

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For the reaction of H2 with I2, the rate constant is 2.5 × 10–4 dm3
mol–1s–1
at 327°C and 1.0 dm3
mol–1
at
527°C. Th

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A hydrated solid X on heating initially gives a monohydrated compound Y. Y upon heating above 373 K leads
to an anhydro

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The major product 'Y' in the following reactions is :

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The correct match between Item-I and Item-II is :
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The correct order of the first ionization enthalpies is :

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The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The
spectral se

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1 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose
ebullioscopic

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The difference between $$\Delta $$H and $$\Delta $$U ($$\Delta $$H – $$\Delta $$U), when the combustion of one mole of h

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The minimum amount of O2(g) consumed per gram of reactant is for the reaction : (Given atomic mass : Fe =
56, O = 16, Mg

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For the reaction,
2SO2(g) + O2(g) = 2SO3(g), $$\Delta $$H = –57.2 kJ mol–1
and KC = 1.7 × 1016
Which of the following

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The pH of a 0.02 M NH4Cl solution will be :
[given Kb (NH4OH) = 10–5
and log 2 = 0.301]

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Which of these factors does not govern the stability of a conformation in acyclic compounds?

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The correct statements among (a) to (d) are :
(a) saline hydrides produce H2 gas when reacted with H2O.
(b) reaction of

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The crystal field stabilization energy (CFSE) of [Fe(H2O)6]Cl2 and K2[NiCl4] respectively, are :

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The increasing order of nucleophilicity of the following nucleophiles is :
(a) CH3CO2$$-$$  

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Which one of the following graphs between molar conductivity ($${\Lambda _m}$$) versus $$\sqrt C $$ is correct ?

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Air pollution that occurs in sunlight is :

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The major product 'Y' in the following reaction is :

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## Mathematics

If $$\mathop {\lim }\limits_{x \to 1} {{{x^2} - ax + b} \over {x - 1}} = 5$$, then a + b is equal to :

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The locus of the centres of the circles, which touch the circle, x2
+ y2
= 1 externally, also touch the y-axis and
lie

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The number of real roots of the equation
5 + |2x
– 1| = 2x
(2x
– 2) is

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A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of
50 cm3

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The sum
$$1 + {{{1^3} + {2^3}} \over {1 + 2}} + {{{1^3} + {2^3} + {3^3}} \over {1 + 2 + 3}} + ...... + {{{1^3} + {2^3} +

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If the plane 2x – y + 2z + 3 = 0 has the distances
$${1 \over 3}$$
and
$${2 \over 3}$$
units from the planes 4x – 2y +

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Let f(x) = loge(sin x), (0 < x < $$\pi $$) and g(x) = sin–1
(e–x
), (x $$ \ge $$ 0). If $$\alpha $$ is a positive

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The angles A, B and C of a triangle ABC are in A.P. and a : b = 1 : $$\sqrt 3 $$. If c = 4 cm, then the area (in sq. cm)

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Minimum number of times a fair coin must be tossed so that the probability of getting at least one head is
more than 99%

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Let $$\lambda $$ be a real number for which the system of linear equations x + y + z = 6, 4x + $$\lambda $$y – $$\lambda

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The smallest natural number n, such that the coefficient of x in the expansion of $${\left( {{x^2} + {1 \over {{x^3}}}}

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If 5x + 9 = 0 is the directrix of the hyperbola 16x2
– 9y2
= 144, then its corresponding focus is :

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The sum of the real roots of the equation
$$\left| {\matrix{
x & { - 6} & { - 1} \cr
2 & { - 3x} &am

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If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = $${\pi \over 2}$$
, then :

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If the line ax + y = c, touches both the curves x2
+ y2
= 1 and y2
= 4$$\sqrt 2 $$x , then |c| is equal to :

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The area (in sq.units) of the region bounded by the curves y = 2x
and y = |x + 1|, in the first quadrant is :

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The integral $$\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx$$ is equal to :

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Suppose that 20 pillars of the same height have been erected along the boundary of a circular stadium. If the
top of eac

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If $$\int {{x^5}} {e^{ - {x^2}}}dx = g\left( x \right){e^{ - {x^2}}} + c$$, where c is a constant of integration, then

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Let $$a$$, b and c be in G.P. with common ratio r, where $$a$$ $$ \ne $$ 0 and 0 < r $$ \le $$ $${1 \over 2}$$
. If 3

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Let y = y(x) be the solution of the differential equation,
$${{dy} \over {dx}} + y\tan x = 2x + {x^2}\tan x$$, $$x \in \

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The tangent and normal to the ellipse 3x2
+ 5y2
= 32 at the point P(2, 2) meet the x-axis at Q and R,
respectively. Th

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Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance
$${3 \over 5}$$
from the origin. Then which one of

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If both the mean and the standard deviation of 50 observations x1, x2,..., x50 are equal to 16, then the mean of (x1 – 4

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A perpendicular is drawn from a point on the line $${{x - 1} \over 2} = {{y + 1} \over { - 1}} = {z \over 1}$$ to the p

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Let a1, a2, a3,......be an A.P. with a6 = 2. Then the common difference of this A.P., which maximises the
product a1a4a5

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The negation of the Boolean expression ~ s $$ \vee $$ (~r $$ \wedge $$ s) is equivalent to :

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If $${\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha $$,where –1 $$ \le $$ x $$ \le $$ 1, – 2 $$ \le $$ y $$ \le $$

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If the tangent to the curve $$y = {x \over {{x^2} - 3}}$$
, $$x \in \rho ,\left( {x \ne \pm \sqrt 3 } \right)$$, at a p

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The distance of the point having position vector $$ - \widehat i + 2\widehat j + 6\widehat k$$
from the straight line p

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## Physics

In free space, a particle A of charge 1$$\mu $$C is held fixed at a point P. Another particle B of the same charge and
m

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In the formula X = 5YZ2
, X and Z have dimensions of capacitance and magnetic field, respectively. What are
the dimensio

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A bullet of mass 20 g has an initial speed of 1 ms–1
, just before it starts penetrating a mud wall of thickness
20 cm.

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The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener
diode is 6 V a

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A coil of self inductance 10 mH and resistance 0.1 $$\Omega $$ is connected through a switch to a battery of internal
re

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A metal coin of mass 5 g and radius 1 cm is fixed to a thin stick AB of negligible mass as shown in the
figure. The syst

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Space between two concentric conducting spheres of radii a and b (b > a) is filled with a medium of
resistivity $$\rh

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One mole of ideal gas passes through a process where pressure and volume obey the relation
$$P = {P_0}\left[ {1 - {1 \ov

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Water from a tap emerges vertically downwards with an initial speed of 1.0 ms–1
. The cross-sectional area of
the tap is

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A submarine experiences a pressure of 5.05 × 106
Pa at a depth of d1 in a sea. When it goes further to a depth
of d2, i

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Two radioactive substances A and B have decay constants 5$$\lambda $$ and $$\lambda $$ respectively. At t = 0, a sample

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A square loop is carrying a steady current I and the magnitude of its magnetic dipole moment is m. if this
square loop i

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The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of
frequencies 9 H

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In a Young's double slit experiment, the ratio of the slit's width is 4 : 1. The ratio of the intensity of maxima to min

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A spaceship orbits around a planet at a height of 20 km from its surface. Assuming that only gravitational
field of the

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A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer
measures the frequen

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A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of $${{7M} \over 8}$$

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In Li+ +, electron in first Bohr orbit is excited to a level by a radiation of wavelength $$\lambda $$. When the ion get

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Light is incident normally on a completely absorbing surface with an energy flux of 25 W cm–2. If the surface
has an are

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Two blocks A and B of masses mA = 1 kg and mB = 3 kg are kept on the table as shown in figure. The coefficient of fricti

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The magnitude of the magnetic field at the centre of an equilateral triangular loop of side 1 m which is
carrying a curr

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The time dependence of the position of a particle of mass m = 2 is given by $$\overrightarrow r \left( t \right) = 2t\wi

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A plane is inclined at an angle $$\alpha $$ = 30° with respect to the horizontal. A particle is projected with a speed u

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In an experiment, brass and steel wires of length 1 m each with areas of cross section 1mm2
are used. The
wires are con

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A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field
E, as sho

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The graph shows how the magnification m produced by a thin lens varies with image distance v. What is the focal length o

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A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum
weight that can be

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A 2 mW laser operates at wavelength of 500 nm. The number of photons that will be emitted per second is :
[Given Planck'

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The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support
a 400 N lo

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When heat Q is supplied to a diatomic gas of rigid molecules, at constant volume its temperature increases by
$$\Delta $

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