JEE Main 2019 (Online) 9th April Morning Slot

Paper was held on
Tue, Apr 9, 2019 3:30 AM

## Chemistry

The correct order of the oxidation states of
nitrogen in NO, N2O, NO2 and N2O3 is :

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The degenerate orbitals of [Cr(H2O)6]3+ are :

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The major product of the following reaction is :

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The organic compound that gives following
qualitative analysis is :
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Excessive release of CO2 into the atomosphere
results in :

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Which of the following statements is not true
about sucrose?

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Among the following, the molecule expected
to be stabilized by anion formation is :
C2, O2, NO, F2

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The one that will show optical activity is :
(en = ethane-1,2-diamine)

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For a reaction,
N2(g) + 3H2(g) $$ \to $$ 2NH3(g) ;
identify dihydrogen (H2) as a limiting reagent
in the following react

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The given plots represent the variation of the
concentration of a reactant R with time for two
different reactions (i) a

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The aerosol is a kind of colloid in which :

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The major product of the following reaction is :

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The correct IUPAC name of the following
compound is :

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The number of water molecule(s) not
coordinated to copper ion directly in
CuSO4.5H2O, is :

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C60 an allotrope of carbon contains :

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The osmotic pressure of a dilute solution of an
ionic compound XY in water is four times that
of a solution of 0.01 M Ba

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Among the following, the set of parameters that
represents path function, is :
(A) q + w
(B) q
(C) w
(D) H–TS

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The standard Gibbs energy for the given cell
reaction in kJ mol–1 at 298 K is :
Zn(s) + Cu2+ (aq) $$ \to $$ Zn2+ (aq) +

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Consider the van der Waals constants, a and b,
for the following gases.
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The major product of the following reaction is :

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The ore that contains the metal in the form of
fluoride is :

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The increasing order of reactivity of the
following compounds towards aromatic
electrophilic substitution reaction is :

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The major product of the following reaction is :
$${\rm{C}}{{\rm{H}}_3}{\rm{CH = CHC}}{{\rm{O}}_2}{\rm{CH_3 }}\buildrel

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Magnisium powder burns in air to give :

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Liquid 'M' and liquid 'N' form an ideal solution.
The vapour pressures of pure liquids 'M' and
'N' are 450 and 700 mmHg,

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Aniline dissolved in dilute HCl is reacted with
sodium nitrite at 0ºC. This solution was added
dropwise to a solution co

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The element having greatest difference between
its first and second ionization energies, is :

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For any given series of spectral lines of atomic
hydrogen, let $$\Delta \mathop v\limits^\_ = $$ $$\Delta {\overline v

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The major product of the following reaction is :

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Match the catalysts (Column I) with products
(Column II).
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## Mathematics

Let $$\overrightarrow \alpha = 3\widehat i + \widehat j$$ and $$\overrightarrow \beta = 2\widehat i - \widehat j + 3

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For any two statements p and q, the negation of
the expression
p $$ \vee $$ (~p $$ \wedge $$ q) is :

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The value of $$\int\limits_0^{\pi /2} {{{{{\sin }^3}x} \over {\sin x + \cos x}}dx} $$ is

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If ƒ(x) is a non-zero polynomial of degree four,
having local extreme points at x = –1, 0, 1; then
the set
S = {x $$ \i

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Let ƒ(x) = 15 – |x – 10|; x $$ \in $$ R. Then the set
of all values of x, at which the function,
g(x) = ƒ(ƒ(x)) is not d

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Let p, q $$ \in $$ R. If 2 - $$\sqrt 3$$ is a root of the quadratic
equation, x2 + px + q = 0, then :

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Let S be the set of all values of x for which the
tangent to the curve
y = ƒ(x) = x3 – x2 – 2x at
(x, y) is parallel to

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If the standard deviation of the numbers
–1, 0, 1, k is $$\sqrt 5$$ where k > 0, then k is equal to

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All the points in the set
$$S = \left\{ {{{\alpha + i} \over {\alpha - i}}:\alpha \in R} \right\}(i = \sqrt { - 1} )$

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Slope of a line passing through P(2, 3) and
intersecting the line, x + y = 7 at a distance of
4 units from P, is :

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A committee of 11 members is to be formed from
8 males and 5 females. If m is the number of ways
the committee is formed

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If the fourth term in the binomial expansion of $${\left( {{2 \over x} + {x^{{{\log }_8}x}}} \right)^6}$$
(x > 0) is

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The solution of the differential equation
$$x{{dy} \over {dx}} + 2y$$ = x2 (x $$ \ne $$ 0) with y(1) = 1, is :

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A plane passing through the points (0, –1, 0)
and (0, 0, 1) and making an angle $${\pi \over 4}$$ with the
plane y – z

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The integral $$\int {{\rm{se}}{{\rm{c}}^{{\rm{2/ 3}}}}\,{\rm{x }}\,{\rm{cose}}{{\rm{c}}^{{\rm{4 / 3}}}}{\rm{x \,dx}}} $$

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Let the sum of the first n terms of a non-constant
A.P., a1, a2, a3, ..... be $$50n + {{n(n - 7)} \over 2}A$$, where
A i

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The area (in sq. units) of the region
A = {(x, y) : x2 $$ \le $$ y $$ \le $$ x + 2} is

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Let $$\alpha $$ and $$\beta $$ be the roots of the equation
x2 + x + 1 = 0. Then for y $$ \ne $$ 0 in R,
$$$\left| {\mat

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Four persons can hit a target correctly with
probabilities
$${1 \over 2}$$, $${1 \over 3}$$, $${1 \over 4}$$ and
$${1 \o

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If the line, $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 2} \over 4}$$ meets the plane,
x + 2y + 3z = 15 at a point

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Let $$\sum\limits_{k = 1}^{10} {f(a + k) = 16\left( {{2^{10}} - 1} \right)} $$ where the function
ƒ satisfies
ƒ(x + y)

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If the tangent to the curve, y = x3 + ax – b at
the point (1, –5) is perpendicular to the line,
–x + y + 4 = 0, then whi

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If the line y = mx + 7$$\sqrt 3 $$ is normal to the
hyperbola
$${{{x^2}} \over {24}} - {{{y^2}} \over {18}} = 1$$ , then

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Let S = {$$\theta $$ $$ \in $$ [–2$$\pi $$, 2$$\pi $$] : 2cos2$$\theta $$ + 3sin$$\theta $$ = 0}.
Then the sum of the el

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The value of cos210° – cos10°cos50° + cos250° is

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If a tangent to the circle x2 + y2 = 1 intersects
the coordinate axes at distinct points P and Q,
then the locus of the

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If the function ƒ defined on , $$\left( {{\pi \over 6},{\pi \over 3}} \right)$$ by
$$$f(x) = \left\{ {\matrix{
{{{\

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If one end of a focal chord of the parabola,
y2 = 16x is at (1, 4), then the length of this focal
chord is :

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If the function ƒ : R – {1, –1} $$ \to $$ A defined by
ƒ(x) = $${{{x^2}} \over {1 - {x^2}}}$$ , is surjective, then A i

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If $$\left[ {\matrix{
1 & 1 \cr
0 & 1 \cr
} } \right]\left[ {\matrix{
1 & 2 \cr
0 &

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## Physics

In the density measurement of a cube, the mass and
edge length are measured as (10.00 ± 0.10) kg and
(0.10 ± 0.01) m, re

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An HCl molecule has rotational, translational
and vibrational motions. If the rms velocity of
HCl molecules in its gaseo

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A wire of resistance R is bent to form a square
ABCD as shown in the figure. The effective
resistance between E and C is

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Following figure shows two processes A and
B for a gas. If $$\Delta $$QA and $$\Delta $$QB are the amount of
heat absorb

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The total number of turns and cross-section area
in a solenoid is fixed. However, its length L is varied
by adjusting th

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A simple pendulum oscillating in air has period
T. The bob of the pendulum is completely
immersed in a non-viscous liqui

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A body of mass 2 kg makes an eleastic collision
with a second body at rest and continues to move
in the original directi

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Determine the charge on the capacitor in the
following circuit :

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A system of three charges are placed as shown
in the figure :
If D >> d, the potential energy of the system is
be

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The stream of a river is flowing with a speed
of 2km/h. A swimmer can swim at a speed of
4km/h. What should be the direc

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A solid sphere of mass 'M' and radius 'a' is
surrounded by a uniform concentric spherical
shell of thickness 2a and mass

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The pressure wave, P = 0.01 sin [1000t – 3x] Nm–2,
corresponds to the sound produced by a vibrating blade
on a day when

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An NPN transistor is used in common emitter
configuration as an amplifier with 1 k$$\Omega $$ load
resistance. Signal vo

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A moving coil galvanometer has resistance 50$$\Omega $$
and it indicates full deflection at 4mA current.
A voltmeter is

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The electric field of light wave is given as
$$$\overrightarrow E = {10^{ - 3}}\cos \left( {{{2\pi x} \over {5 \times {

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A ball is thrown vertically up (taken as +z-axis)
from the ground. The correct momentum-height
(p-h) diagram is :

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A capacitor with capacitance 5μF is charged to
5μC. If the plates are pulled apart to reduce the
capacitance to 2μF, how

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The figure shows a Young's double slit
experimental setup. It is observed that when a
thin transparent sheet of thicknes

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A rigid square loop of side 'a' and carrying
current I2 is lying on a horizontal surface near
a long current I1 carrying

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The following bodies are made to roll up
(without slipping) the same inclined plane from
a horizontal plane. : (i) a rin

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A string is clamped at both the ends and it is
vibrating in its 4th harmonic. The equation of the
stationary wave is Y =

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A stationary horizontal disc is free to rotate
about its axis. When a torque is applied on it,
its kinetic energy as a f

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A uniform cable of mass 'M' and length 'L' is
placed on a horizontal surface such that its (1/n)th
part is hanging below

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The magnetic field of a plane electromagnetic
wave is given by :
$$$\overline B = {B_0}\widehat i\left[ {\cos (kz - \om

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Taking the wavelength of first Balmer line in
hydrogen spectrum (n = 3 to n = 2) as 660 nm,
the wavelength of the 2nd Ba

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If 'M' is the mass of water that rises in a capillary
tube of radius 'r', then mass of water which will
rise in a capill

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A concave mirror for face viewing has focal
length of 0.4 m. The distance at which you hold
the mirror from your face in

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A rectangular coil (Dimension 5 cm × 2.5 cm)
with 100 turns, carrying a current of 3 A in the
clock-wise direction is ke

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For a given gas at 1 atm pressure, rms speed
of the molecule is 200 m/s at 127°C. At 2 atm
pressure and at 227°C, the rm

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A signal Acoswt is transmitted using v0 sin $$\omega $$0t
as carrier wave. The correct amplitude
modulated (AM) signal i

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