JEE Main 2019 (Online) 12th April Morning Slot

Paper was held on
Fri, Apr 12, 2019 3:30 AM

## Chemistry

Which of the following is a thermosetting polymer?

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The basic structural unit of feldspar, zeolites, mica, and asbestos is :

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The correct set of species responsible for the photochemical smog is :

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The major product of the following reaction is :

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The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol kg–1
) of the
aqueous soluti

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Glucose and Galactose are having identical configuration in all the positions except position.

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The correct sequence of thermal stability of the following carbonates is :

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What is the molar solubility of Al(OH)3 in 0.2 M NaOH solution ? Given that, solubility product of Al(OH)3 = 2.4 × 10–24

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The major products of the following reaction are :

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Which of the following statements is not true about RNA?

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Enthalpy of sublimation of iodine is 24 cal g–1
at 200 oC. If specific heat of I2(s) and l2 (vap) are 0.055 and
0.031 c

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Peptization is a :

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The idea of froth floatation method came from a person X and this method is related to the process Y of ores. X and Y, r

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An organic compound 'A' is oxidizod with Na2O2 followed by boiling with HNO3. The resultant solution is
then treated wit

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The electrons are more likely to be found :

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But-2-ene on reaction with alkaline KMnO4 at elevated temperature followed by acidification will give :

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An ideal gas is allowed to expand form 1 L to 10 L against a constant external pressure of I bar. The work
done in kJ is

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The major product of the following addition reaction is :
H3C–CH=CH2 $$\buildrel {C{l_2}/{H_2}O} \over
\longrightarrow

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An element has a face-centred cubic (fcc) structure with a cell edge of $$a$$. The distance between the centres of
two n

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In the following reaction; xA $$ \to $$ yB
$${\log _{10}}\left[ { - {{d\left[ A \right]} \over {dt}}} \right] = {\log _{

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The major product(s) obtained in the following reaction is/are :

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The complex ion that will lose its crystal field stabilization energy upon oxidation of its metal to +3 state is :

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The group number, number of valence electrons, and valency of an element with atomic number 15,
respectively, are:

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The increasing order of the pKb of the following compound is :

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Complete removal of both the axial ligands (along the z-axis) from an octahedral complex leads to which of
the following

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5 moles of AB2 weigh 125 × 10–3
kg and 10 moles of A2B2 weigh 300 × 10–3
kg. The molar mass of A (MA)
and molar mass o

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An example of a disproportionation reaction is :

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The correct statement among the following is :

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Given
CO3+ + e– $$ \to $$ CO2+ ; Eo = + 1.81 V
Pb4+
+ 2e– $$ \to $$ Pb2+ ; Eo = + 1.67 V
Ce4+
+ e– $$ \to $$ Ce3+
; E

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The metal that gives hydrogen gas upon treatment with both acid as well as base is :

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## Mathematics

The integral $$\int {{{2{x^3} - 1} \over {{x^4} + x}}} dx$$ is equal to :
(Here C is a constant of integration)

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For x $$ \in $$ (0, 3/2), let f(x) = $$\sqrt x $$ , g(x) = tan x and h(x) = $${{1 - {x^2}} \over {1 + {x^2}}}$$. If $$\p

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Let P be the point of intersection of the common tangents to the parabola y2
= 12x and the hyperbola
8x2
– y2
= 8. If

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If $$\int\limits_0^{{\pi \over 2}} {{{\cot x} \over {\cot x + \cos ecx}}} dx$$ = m($$\pi $$ + n), then m.n is equal to

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The number of solutions of the equation
1 + sin4
x = cos23x, $$x \in \left[ { - {{5\pi } \over 2},{{5\pi } \over 2}}

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The equation |z – i| = |z – 1|, i = $$\sqrt { - 1} $$, represents :

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If $$\alpha $$ and $$\beta $$ are the roots of the equation 375x2
– 25x – 2 = 0, then $$\mathop {\lim }\limits_{n \to \i

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If ey
+ xy = e, the ordered pair $$\left( {{{dy} \over {dx}},{{{d^2}y} \over {d{x^2}}}} \right)$$ at x = 0 is equal to

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For x $$\varepsilon $$ R, let [x] denote the greatest integer $$ \le $$ x, then the sum of the series
$$\left[ { - {1 \o

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The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21
are distinct,

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If m is the minimum value of k for which the function f(x) = x$$\sqrt {kx - {x^2}} $$ is increasing in the interval [0,3

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The coefficient of x18 in the product
(1 + x) (1 – x)10 (1 + x + x2)9
is :

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If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then
the lengt

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Consider the differential equation, $${y^2}dx + \left( {x - {1 \over y}} \right)dy = 0$$, If value of y is 1 when x = 1,

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If the area (in sq. units) of the region {(x, y) : y2
$$ \le $$ 4x, x + y $$ \le $$ 1, x $$ \ge $$ 0, y $$ \ge $$ 0} is

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If the data x1, x2,......., x10 is such that the mean of first four of these is 11, the mean of the remaining six is
16

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If the normal to the ellipse 3x2
+ 4y2
= 12 at a point P on it is parallel to the line, 2x + y = 4 and the tangent
to

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If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = $$\left[ {\matrix{
2 & 3 \cr
5

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Let $$\overrightarrow a = 3\widehat i + 2\widehat j + 2\widehat k$$ and $$\overrightarrow b = \widehat i + 2\widehat j

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If $$B = \left[ {\matrix{
5 & {2\alpha } & 1 \cr
0 & 2 & 1 \cr
\alpha & 3 & { - 1}

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A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate
25 cm/sec

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The equation y = sinx sin (x + 2) – sin2
(x + 1) represents a straight line lying in :

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If the truth value of the statement p $$ \to $$ (~q $$ \vee $$ r) is false (F), then the truth values of the statements

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Let Sn denote the sum of the first n terms of an A.P. If S4 = 16 and S6= – 48, then S10 is equal to :

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Let f : R $$ \to $$ R be a continuously differentiable function such that f(2) = 6 and f'(2) = $${1 \over {48}}$$. If $$

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Let a random variable X have a binomial distribution with mean 8 and variance 4. If $$P\left( {X \le 2} \right) = {k \ov

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If the volume of parallelopiped formed by the vectors $$\widehat i + \lambda \widehat j + \widehat k$$, $$\widehat j + \

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The value of $${\sin ^{ - 1}}\left( {{{12} \over {13}}} \right) - {\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ is equal

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If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle
formed wi

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If the line $${{x - 2} \over 3} = {{y + 1} \over 2} = {{z - 1} \over { - 1}}$$
intersects the plane 2x + 3y – z + 13 =

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## Physics

A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc
var

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Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge
Q. At i

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A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a
dist

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A uniform rod of length $$\ell $$ is being rotated in a horizontal plane with a constant angular speed about an axis
pas

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A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular
speed of 40 $

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The stopping potential V0 (in volt) as a function of frequency ($$\upsilon $$) for a sodium emitter, is shown in the fig

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Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance
d. The sp

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The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the
network is 4 Watt. Th

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The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 $$\mathop A\

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In a double slit experiment, when a thin film of thickness t having refractive index $$\mu $$. is introduced in front of

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A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude $$\theta $$0. If the
person

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The trajectory of a projectile near the surface of the earth is given as y = 2x – 9x2
. If it were launched at an
angle

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A point dipole $$\overrightarrow p = - {p_0}\widehat x$$
is kept at the origin. The potential and electric field due t

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A galvanometer of resistance 100 $$\Omega $$ has 50 divisions on its scale and has sensitivitv of 20 $$\mu $$A/division.

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The truth table for the circuit given in the fig. is:

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A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the
internal ene

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The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving

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At 40o C, a brass wire of 1 mm radius is hung from the ceiling. A small mass, M is hung from the free end of
the wire. W

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To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The
measured voltage i

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An electromagnetic wave is represented by the electric field $$\overrightarrow E = {E_0}\widehat n\sin \left[ {\omega t

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A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5
cm (see

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Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the
molar specific

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A magnetic compass needle oscillates 30 times per minute at a place where the dip is 45o, and 40 times per
minute where

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Which of the following combinations has the dimension of electrical resistance ($$ \in $$0 is the permittivity of
vacuum

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The transfer characteristic curve of a transistor, having input and output resistance 100 $$\Omega $$ and 100 k$$\Omega

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When M1 gram of ice at –10oC (specific heat = 0.5 cal g–1
oC–1
) is added to M2 gram of water at 50C, finally
no ice is

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A man (mass = 50 kg) and his son (mass = 20 kg) are standing on a frictionless surface facing each other. The
man pushes

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A progressive wave travelling along the positive x-direction is represented by y(x,t) = Asin(kx – $$\omega $$t + $$\phi

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An excited He+
ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a
transition to gr

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A submarine (A) travelling at 18 km/hr is being chased along the line of its velocity by another submarine
(B) travellin

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