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?

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

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

View Question The major product of the following reaction is :

View Question 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

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

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

View Question 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

View Question The major products of the following reaction are :

View Question Which of the following statements is not true about RNA?

View Question 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

View Question Peptization is a :

View Question 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

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

View Question The electrons are more likely to be found :

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

View Question 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

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

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

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

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

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

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

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

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

View Question 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

View Question An example of a disproportionation reaction is :

View Question The correct statement among the following is :

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

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

View Question ## Mathematics

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

View Question 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

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

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

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

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

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

View Question 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

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

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

View Question 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

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

View Question 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

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

View Question 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

View Question 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

View Question 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

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

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

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

View Question 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

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

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

View Question 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 :

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

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

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

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

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

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

View Question ## 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

View Question 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

View Question 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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

View Question 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

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

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

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

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

View Question 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

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

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

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

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

View Question