JEE Main 2019 (Online) 12th April Evening Slot

Paper was held on
Fri, Apr 12, 2019 9:30 AM

## Chemistry

Among the following, the INCORRECT statement about colloids is :

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In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is :

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An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options :
Assertion (A) : Vi

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The IUPAC name for the following compound is :

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The C–C bond length is maximum in :

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Among the following, the energy of 2s orbital is lowest in :

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What will be the major product when m-cresol is reacted with propargyl bromide (HC$$ \equiv $$C–CH2Br) in
presence of K2

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The decreasing order of electrical conductivity of the following aqueous solutions is :
0.1 M Formic acid (A),
0.1 M Ace

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25 g of an unknown hydrocarbon upon burning produces 88 g of CO2 and 9 g of H2O. This unknown
hydrocarbon contains :

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The coordination numbers of Co and Al in [Co(Cl)(en)2]Cl and K3[Al(C2O4)3], respectively, are :
(en = ethane-1, 2-diamin

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Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO2 and gaseous product.
MnO2 reacts with Na

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The primary pollutant that leads to photochemical smog is :

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The INCORRECT match in the following is :

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The INCORRECT statement is :

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The correct statement is :

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The pair that has similar atomic radii is :

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Which of the given statements is INCORRECT about glycogen?

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NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation,
2N2O5(g) $$ \to $$ 4NO

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The correct name of the following polymer is :

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Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X with
Hg(OAc)2/H2O followed

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A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar
mass = 180 g mo

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Consider the following reactions :
'A' is :

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The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic
structure are, respe

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In comparison to boron, berylium has :

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The temporary hardness of a water sample is due to compound X. Boiling this sample converts X to
compound Y. X and Y, re

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The compound used in the treatment of lead poisoning is :

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In which one of the following equilibria, Kp $$ \ne $$ KC ?

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Which one of the following is likely to give a precipitate with AgNO3 solution ?

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The molar solubility of Cd(OH)2 is 1.84 × 10–5
M in water. The expected solubility of Cd(OH)2 in a buffer
solution of p

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Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :

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## Mathematics

Let $$a \in \left( {0,{\pi \over 2}} \right)$$ be fixed. If the integral
$$\int {{{\tan x + \tan \alpha } \over {\tan x

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The general solution of the differential equation (y2
– x3)dx – xydy = 0 (x $$ \ne $$ 0) is :
(where c is a constant of

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The equation of common tangent to the curves y2
= 16x and xy = –4, is :

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A plane which bisects the angle between the two given planes 2x – y + 2z – 4 = 0 and x + 2y + 2z – 2 = 0,
passes through

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The Boolean expression ~(p $$ \Rightarrow $$ (~q)) is equivalent to :

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A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centro

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If the area (in sq. units) bounded by the parabola y2
= 4$$\lambda $$x and the line y = $$\lambda $$x, $$\lambda $$ >

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Let A, B and C be sets such that $$\phi $$ $$ \ne $$ A $$ \cap $$ B $$ \subseteq $$ C. Then which of the following stat

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If $$\alpha $$, $$\beta $$ and $$\gamma $$ are three consecutive terms of a non-constant G.P. such that the equations $$

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If 20C1 + (22) 20C2 + (32) 20C3 + ..... + (202
)
20C20 = A(2$$\beta $$), then the ordered pair (A, $$\beta $$) is equal

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The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines
$$\overrightarrow r =

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A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the
point :

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A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins
Rs. 12 when th

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Let $$\alpha $$ $$ \in $$ R and the three vectors $$\overrightarrow a = \alpha \widehat i + \widehat j + 3\widehat k$$,

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The tangents to the curve y = (x – 2)2 – 1 at its points of intersection with the line x – y = 3, intersect at the point

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If [x] denotes the greatest integer $$ \le $$ x, then the system of linear equations [sin $$\theta $$]x + [–cos$$\theta

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A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can
randomly b

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An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?

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For an initial screening of an admission test, a candidate is given fifty problems to solve. If the probability
that the

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A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and
the perp

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A value of $$\alpha $$ such that
$$\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x

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The derivative of $${\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)$$, with respect to $${x \

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Let S be the set of all $$\alpha $$ $$ \in $$ R such that the equation, cos2x + $$\alpha $$sinx = 2$$\alpha $$– 7 has a

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$$\mathop {\lim }\limits_{x \to 0} {{x + 2\sin x} \over {\sqrt {{x^2} + 2\sin x + 1} - \sqrt {{{\sin }^2}x - x + 1} }}$

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A value of $$\theta \in \left( {0,{\pi \over 3}} \right)$$, for which
$$\left| {\matrix{
{1 + {{\cos }^2}\theta } &

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Let z $$ \in $$ C with Im(z) = 10 and it satisfies $${{2z - n} \over {2z + n}}$$ = 2i - 1 for some natural number n. The

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Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x $$ \in $$ R. If f(x) attains maximum value at $$\alpha $$ and g(x) attains

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The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45o from
a point

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If a1, a2, a3, ..... are in A.P. such that a1 + a7 + a16 = 40, then the sum of the first 15 terms of this A.P. is :

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The term independent of x in the expansion of
$$\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} -

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## Physics

In the given circuit, the charge on 4 $$\mu $$F capacitor will be :

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A particle is moving with speed v = b$$\sqrt x $$ along positive x-axis. Calculate the speed of the particle at
time t =

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A transparent cube of side, made of a material of refractive index $$\mu $$2, is immersed in a liquid of refractive
inde

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A Carnot engine has an efficiency of $${1 \over 6}$$. When the temperature of the sink is reduced by 62ºC, its efficienc

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One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature
averaged) resistanc

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Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 $$\mathop A\limits^o $

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In an amplitude modulator circuit, the carrier wave is given by, C(t) = 4 sin(20000 $$\pi $$t) while modulating signal
i

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Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that
passes th

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Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $$\rho $$(r) = kr, where

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A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1.
T

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A smooth wire of length 2$$\pi $$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on
the

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The electron in a hydrogen atom first jumps from the third excited state to the second excited state and
subsequently to

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A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be
the heat energy

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A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in
free space. Th

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A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an
angle of 30o

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A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows
through it. Th

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A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous
fluid having

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Two sources of sound S1 and S2 produce sound waves of same frequency 660 Hz. A listener is moving from
source S1 towards

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The number density of molecules of a gas depends on their distance r from the origin as, $$n\left( r \right) = {n_0}{e^{

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Half lives of two radioactive nuclei A and B are 10 minutes and 20 minutes, respectively, If initially a sample
has equa

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An electron, moving along the x-axis with an initial energy of 100 eV, enters a region of magnetic field $$\overrightarr

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A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air
by resonance tube met

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A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB
intensity sound ?

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A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of
Elasticity equals Y

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Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A.
(See figur

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A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched
lengths

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The ratio of the weights of a body on the Earth’s surface to that on the surface of a planets is 9 : 4. The mass
of the

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Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side
1 m (as sh

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Two particles are projected from the same point with the same speed u such that they have the same range R,
but differen

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Figure shows a DC voltage regulator circuit, with a Zener diode of breakdown voltage = 6V. If the
unregulated input volt

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