JEE Main 2019 (Online) 8th April Evening Slot

Paper was held on
Mon, Apr 8, 2019 9:30 AM

## Chemistry

Calculate the standard cell potential in (V) of the
cell in which following reaction takes place :
Fe2+(aq) + Ag+(aq) $$

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The major product in the following reaction is :

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For the following reactions, equilibrium
constants are given :
S(s) + O2(g) ⇋ SO2(g); K1 = 1052
2S(s) + 3O2(g) ⇋ 2SO3

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The ion that has sp3d2 hybridization for the
central atom, is :

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The major product of the following reaction is:

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The structure of Nylon-6 is :

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The major product of the following reaction is:

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The percentage composition of carbon by mole
in methane is :

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The IUPAC symbol for the element with atomic
number 119 would be :

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The compound that inhibits the growth of
tumors is :

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The covalent alkaline earth metal halide
(X = Cl, Br, I) is :

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The maximum prescribed concentration of
copper in drinking water is :

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Which one of the following alkenes when
treated with HCl yields majorly an anti
Markovnikov product?

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The calculated spin-only magnetic moments
(BM) of the anionic and cationic species of
[Fe(H2O)6]2 and [Fe(CN)6], respect

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Among the following molecules / ions,
$$C_2^{2 - },N_2^{2 - },O_2^{2 - },{O_2}$$
which one is diamagnetic and has the sh

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For a reaction scheme $$A\buildrel {{k_1}} \over
\longrightarrow B\buildrel {{k_2}} \over
\longrightarrow C$$,
if
the

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The statement that is INCORRECT about the
interstitial compounds is :

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The major product obtained in the following
reaction is :

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5 moles of an ideal gas at 100 K are allowed
to undergo reversible compression till its
temperature becomes 200 K.
If CV

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0.27 g of a long chain fatty acid was dissolved
in 100 cm3 of hexane. 10 mL of this solution
was added dropwise to the s

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Which of the following compounds will show
the maximum 'enol' content?

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The correct statement about ICl5 and $$ICl_4^-$$ is

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The major product obtained in the following
reaction is

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Consider the bcc unit cells of the solids 1 and
2 with the position of atoms as shown below.
The radius of atom B is twi

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Fructose and glucose can be distinguished by :

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If p is the momentum of the fastest electron
ejected from a metal surface after the irradiation
of light having waveleng

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The strength of 11.2 volume solution of H2O2
is : [Given that molar mass of H = 1 g mol–1
and O = 16 g mol–1]

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Polysubstitution is a major drawback in:

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The Mond process is used for the

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For the solution of the gases w, x, y and z in
water at 298K, the Henrys law constants (KH)
are 0.5, 2, 35 and 40 kbar,

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## Mathematics

The minimum number of times one has to toss a
fair coin so that the probability of observing at least
one head is at lea

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A student scores the following marks in five tests
:
45, 54, 41, 57, 43.
His score is not known for the
sixth test. If

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The sum
$$\sum\limits_{k = 1}^{20} {k{1 \over {{2^k}}}} $$ is equal to

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If the eccentricity of the standard hyperbola
passing through the point (4,6) is 2, then the
equation of the tangent to

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Let ƒ(x) = ax
(a > 0) be written as
ƒ(x) = ƒ1
(x) + ƒ2
(x), where ƒ1
(x) is an even
function of ƒ2
(x) is an odd fun

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If the system of linear equations
x – 2y + kz = 1
2x + y + z = 2
3x – y – kz = 3
has a solution (x,y,z), z $$ \ne $$ 0,

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If the lengths of the sides of a triangle are in A.P.
and the greatest angle is double the smallest, then
a ratio of len

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The vector equation of the plane through the line
of intersection of the planes x + y + z = 1 and 2x
+ 3y+ 4z = 5 which

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Which one of the following statements is not a
tautology?

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Let S($$\alpha $$) = {(x, y) : y2
$$ \le $$ x, 0 $$ \le $$ x $$ \le $$ $$\alpha $$} and A($$\alpha $$)
is area of the r

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Given that the slope of the tangent to a curve y
= y(x) at any point (x, y) is
$$2y \over x^2$$. If the curve passes th

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Let $$\mathop a\limits^ \to = 3\mathop i\limits^ \wedge + 2\mathop j\limits^ \wedge + x\mathop k\limits^ \wedge $

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If the fourth term in the binomial expansion of
$${\left( {\sqrt {{x^{\left( {{1 \over {1 + {{\log }_{10}}x}}} \right)}}

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Let ƒ : R $$ \to $$ R be a differentiable function
satisfying ƒ'(3) + ƒ'(2) = 0.
Then $$\mathop {\lim }\limits_{x \to 0}

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The tangent to the parabola y2
= 4x at the point
where it intersects the circle x2
+ y2
= 5 in the
first quadrant, pa

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Let the number 2,b,c be in an A.P. and
A = $$\left[ {\matrix{
1 & 1 & 1 \cr
2 & b & c \cr
4

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If a point R(4, y, z) lies on the line segment joining
the points P(2, –3, 4) and Q(8, 0, 10), then the
distance of R fr

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The number of integral values of m for which the
equation
(1 + m2
)x2
– 2(1 + 3m)x + (1 + 8m) = 0
has no real root is :

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If three distinct numbers a, b, c are in G.P. and the
equations ax2
+ 2bx + c = 0 and
dx2
+ 2ex + ƒ = 0 have a common

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Let $$f(x) = \int\limits_0^x {g(t)dt} $$ where g is a non-zero even
function. If ƒ(x + 5) = g(x), then $$ \int\limits_0

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If $$z = {{\sqrt 3 } \over 2} + {i \over 2}\left( {i = \sqrt { - 1} } \right)$$,
then (1 + iz + z5 + iz8)9 is equal to

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The tangent and the normal lines at the point
( $$\sqrt 3 $$, 1) to the circle x2
+ y2 = 4 and the x-axis form a triang

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In an ellipse, with centre at the origin, if the
difference of the lengths of major axis and minor
axis is 10 and one of

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If ƒ(1) = 1, ƒ'(1) = 3, then the derivative of
ƒ(ƒ(ƒ(x))) + (ƒ(x))2
at x = 1 is :

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If $$\int {{{dx} \over {{x^3}{{(1 + {x^6})}^{2/3}}}} = xf(x){{(1 + {x^6})}^{{1 \over 3}}} + C} $$
where C is a constant

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Suppose that the points (h,k), (1,2) and (–3,4) lie
on the line L1
. If a line L2
passing through the points
(h,k) and

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Let ƒ : [–1,3] $$ \to $$ R be defined as
$$f(x) = \left\{ {\matrix{
{\left| x \right| + \left[ x \right]} & , &am

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The number of four-digit numbers strictly greater
than 4321 that can be formed using the digits
0,1,2,3,4,5 (repetition

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Two vertical poles of heights, 20 m and 80 m stand
a part on a horizontal plane. The height (in meters)
of the point of

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The height of a right circular cylinder of maximum
volume inscribed in a sphere of radius 3 is

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## Physics

A circuit connected to an ac source of emf
e = e0sin(100t) with t in seconds, gives a phase
difference of $$\pi $$/4 bet

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Two very long, straight, and insulated wires are
kept at 90° angle from each other in xy-plane
as shown in the figure. T

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In the circuit shown, a four-wire potentiometer
is made of a 400 cm long wire, which extends
between A and B. The resist

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A particle starts from origin O from rest and
moves with a uniform acceleration along the
positive x-axis. Identify all

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An electric dipole is formed by two equal and
opposite charges q with separation d. The
charges have same mass m. It is

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In a line of sight radio communication, a
distance of about 50 km is kept between the
transmitting and receiving antenna

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A common emitter amplifier circuit, built using
an npn transistor, is shown in the figure. Its dc
current gain is 250, R

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A cell of internal resistance r drives current
through an external resistance R. The power
delivered by the cell to the

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The magnetic field of an electromagnetic wave
is given by :-
$$\mathop B\limits^ \to = 1.6 \times {10^{ - 6}}\cos \lef

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Calculate the limit of resolution of a telescope
objective having a diameter of 200 cm, if it has
to detect light of wav

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The ratio of mass densities of nuclei of 40Ca
and 16O is close to :-

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Young's moduli of two wires A and B are in the
ratio 7 : 4. Wire A is 2 m long and has radius R.
Wire B is 1.5 m long an

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A solid sphere and solid cylinder of identical
radii approach an incline with the same linear
velocity (see figure). Bot

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A rocket has to be launched from earth in such
a way that it never returns. If E is the minimum
energy delivered by the

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The given diagram shows four processes i.e.,
isochoric, isobaric, isothermal and adiabatic.
The correct assignment of th

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A damped harmonic oscillator has a frequency
of 5 oscillations per second. The amplitude
drops to half its value for eve

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A positive point charge is released from rest at
a distance r0 from a positive line charge with
uniform density. The spe

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The electric field in a region is given by
$$\mathop E\limits^ \to = \left( {Ax + B} \right)\mathop i\limits^ \wedge

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A parallel plate capacitor has 1μF capacitance.
One of its two plates is given +2μC charge and
the other plate, +4μC cha

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In a simple pendulum experiment for
determination of acceleration due to gravity (g),
time taken for 20 oscillations is

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A uniform rectangular thin sheet ABCD of
mass M has length a and breadth b, as shown
in the figure. If the shaded portio

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The temperature, at which the root mean square
velocity of hydrogen molecules equals their
escape velocity from the eart

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A rectangular solid box of length 0.3 m is held
horizontally, with one of its sides on the edge
of a platform of height

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A convex lens (of focal length 20 cm) and a
concave mirror, having their principal axes
along the same lines, are kept 8

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If surface tension (S), Moment of inertia (I) and
Planck's constant (h), were to be taken as the
fundamental units, the

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In the figure shown, what is the current
(in Ampere) drawn from the battery ? You are
given:
R1 = 15$$\Omega $$, R2 = 10

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A body of mass m1 moving with an unknown
velocity of $${v_1}\mathop i\limits^ \wedge $$, undergoes a collinear collisio

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A nucleus A, with a finite de-broglie
wavelength $$\lambda $$A, undergoes spontaneous fission
into two nuclei B and C of

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Let $$\left| {\mathop {{A_1}}\limits^ \to } \right| = 3$$, $$\left| {\mathop {{A_2}}\limits^ \to } \right| = 5$$ and

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Two magnetic dipoles X and Y are placed at
a separation d, with their axes perpendicular to
each other. The dipole momen

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