JEE Main 2019 (Online) 8th April Morning Slot

Paper was held on
Mon, Apr 8, 2019 3:30 AM

## Chemistry

Diborane (B2H6) reacts with O2 and H2O independently, then products formed are

View Question
Assertion: Ozone is destroyed by CFCs in the upper stratosphere.
Reason: Ozone holes increase the amount of UV radiation

View Question
Adsorption of a gas follows freundlich adosorbed isotherm. x is the mass of the gas adsorbed on
mass m of the adsorbent.

View Question
An organic compound 'X' showing the following solubility profile is :

View Question
With respect to an ore, Ellingham diagram helps to predict the feasibility of its.

View Question
The following ligand is :

View Question
Maltose on treatment with dilute HCI gives :

View Question
The correct order of hydration enthapies of alkali metal ions is :

View Question
Given that $${E^\Theta }_{{O_2}/{H_2}O} = 1.23\,V$$ ;
$${E^\Theta }_{{S_2}O_8^{2 - }/SO_4^{2 - }} = 2.05\,V$$
$${E^\Thet

View Question
An organic compound neither reacts with natural ferric chloride solution nor with fehling solution.
it however, reacts w

View Question
For silver, Cp(J K–1 mol–1) = 23 +0.01 T. If the temperature (T) of 3 moles of silver is raised from 300
K to 1000 K at

View Question
The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively at 298 K on
mixing the two liquids, the

View Question
Which is wrong with respect to our responsiblity as a human being to protect our environment ?

View Question
The major product of the following reaction is :

View Question
Coupling of benzene diazonium chloride with 1 - naphthol in alkaline medium will give :

View Question
If solublity product of Zr3(PO4)4 is denoted by Ksp and its molar solubility is denoted by S, then
which of the followin

View Question
The size of the iso-electronic species Cl–, Ar and Ca2+ is affected by :

View Question
In order to oxidise a mixture of one mole of each of FeC2O4, Fe2(C2O4)3, FeSO4 and Fe2(SO4)3 in
acidic medium, the numbe

View Question
The major product of the following reaction is :

View Question
The lathanide ion that would show colour is :

View Question
For the reaction 2A + B $$ \to $$ C, the values of initial rate at diffrent reactant concentrations are
given in the tab

View Question
The correct order of the spin-only magnetic moment of metal ions in the following low-spin
complexes, [V(CN)6]4–,[Fe(CN)

View Question
100 mL of a water sample contains 0.81 g of calcium bicrabonate and 0.73 g of magnesium
bicarbonate. The hardness of thi

View Question
Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms
occupy all the tetrahe

View Question
In the following compounds, the decreasing order of basic strength will be :

View Question
Which of the following amines can be prepared by Gabriel phthalimide reaction ?

View Question
Which one of the following equations does not correctly represent the first law of thermodynamics
for the given processe

View Question
The quantum number of four electrons are given below :
n = 4, l = 2, ml =–2, ms = –1/2
n = 3, l = 2, ml = 1, ms = +1/2
n

View Question
The major product of the following reaction is :

View Question
The IUPAC name of the following compound is :

View Question
## Mathematics

Let y = y(x) be the solution of the differential equation, $${({x^2} + 1)^2}{{dy} \over {dx}} + 2x({x^2} + 1)y = 1$$ suc

View Question
The shortest distance between the line y = x and
the curve y2 = x – 2 is :

View Question
If $$\alpha $$ and $$\beta $$ be the roots of the equation
x2 – 2x + 2 = 0, then the least value of n for which $${\left

View Question
A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only
in :

View Question
$$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^2}x} \over {\sqrt 2 - \sqrt {1 + \cos x} }}$$ equals:

View Question
The length of the perpendicular from the point
(2, –1, 4) on the straight line,
$${{x + 3} \over {10}}$$= $${{y - 2} \ov

View Question
The magnitude of the projection of the vector
$$\mathop {2i}\limits^ \wedge + \mathop {3j}\limits^ \wedge + \mathop

View Question
The contrapositive of the statement "If you are
born in India, then you are a citizen of India", is :

View Question
The mean and variance of seven observations are
8 and 16, respectively. If 5 of the observations are
2, 4, 10, 12, 14, t

View Question
If $$\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$, $$\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)$$ whe

View Question
If the tangents on the ellipse 4x2 + y2 = 8 at the
points (1, 2) and (a, b) are perpendicular to each
other, then a2 is

View Question
If $$f(x) = {{2 - x\cos x} \over {2 + x\cos x}}$$ and g(x) = logex, (x > 0) then
the value of integral $$\int\limits_

View Question
If S1 and S2 are respectively the sets of local
minimum and local maximum points of the function,
ƒ(x) = 9x4 + 12x3 – 3

View Question
Let O(0, 0) and A(0, 1) be two fixed points. Then
the locus of a point P such that the perimeter of
$$\Delta $$AOP is 4,

View Question
If $$f(x) = {\log _e}\left( {{{1 - x} \over {1 + x}}} \right)$$, $$\left| x \right| < 1$$ then $$f\left( {{{2x} \over

View Question
Let $$A = \left( {\matrix{
{\cos \alpha } & { - \sin \alpha } \cr
{\sin \alpha } & {\cos \alpha } \cr

View Question
The sum of all natural numbers 'n' such that
100 < n < 200 and H.C.F. (91, n) > 1 is :

View Question
The sum of the series
2.20C0
+ 5.20C1 + 8.20C2 + 11.20C3 + ... +62.20C20 is equal to :

View Question
Let A and B be two non-null events such that
A $$ \subset $$ B . Then, which of the following statements
is always corre

View Question
The sum of the solutions of the equation
$$\left| {\sqrt x - 2} \right| + \sqrt x \left( {\sqrt x - 4} \right) + 2 =

View Question
The sum of the co-efficients of all even
degree terms in x in the expansion of
$${\left( {x + \sqrt {{x^3} - 1} } \right

View Question
The area (in sq. units) of the region
A = { (x, y) $$ \in $$ R × R| 0 $$ \le $$ x $$ \le $$ 3, 0 $$ \le $$ y

View Question
Let ƒ : [0, 2] $$ \to $$ R be a twice differentiable
function such that ƒ''(x) > 0, for all x $$ \in $$ (0, 2).
If $$

View Question
The sum of the squares of the lengths of the chords
intercepted on the circle, x2 + y2 = 16, by the lines,
x + y = n, n

View Question
All possible numbers are formed using the digits
1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number
of such numbe

View Question
If $$2y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\cos x - \sqrt 3 \sin x}}} \right)} \right)

View Question
$$\int {{{\sin {{5x} \over 2}} \over {\sin {x \over 2}}}dx} $$ is equal to
(where c is a constant of integration)

View Question
The greatest value of c $$ \in $$ R for which the system
of linear equations
x – cy – cz = 0
cx – y + cz = 0
cx + cy – z

View Question
If cos($$\alpha $$ + $$\beta $$) = 3/5 ,sin ( $$\alpha $$ - $$\beta $$) = 5/13 and
0 < $$\alpha , \beta$$ < $$\pi

View Question
The equation of a plane containing the line of
intersection of the planes 2x – y – 4 = 0 and
y + 2z – 4 = 0 and passing

View Question
## Physics

A 200 $$\Omega $$ resistor has a certain color code. If one
replaces the red color by green in the code, the
new resist

View Question
A boy's catapult is made of rubber cord which
is 42 cm long, with 6 mm diameter of
cross-section and of negligible mass.

View Question
Four particles A, B, C and D with masses
mA = m, mB = 2m, mC = 3m and mD = 4m are
at the corners of a square. They have

View Question
For the circuit shown, with R1 = 1.0W, R2 = 2.0 W,
E1 = 2 V and E2 = E3 = 4 V, the potential
difference between the poin

View Question
Water from a pipe is coming at a rate of
100 litres per minute. If the radius of the pipe
is 5 cm, the Reynolds number f

View Question
A circular coil having N turns and radius r
carries a current I. It is held in the XZ plane in
a magnetic field B$${\mat

View Question
Voltage rating of a parallel plate capacitor is
500V. Its dielectric can withstand a maximum
electric field of 106 V/m.

View Question
Two identical breakers A and B contain equal
volumes of two different liquids at 60°C each
and left to cool down. Liquid

View Question
The bob of a simple pendulum has mass 2g and
a charge of 5.0 μC. It is at rest in a uniform
horizontal electric field of

View Question
The reverse breakdown voltage of a Zener
diode is 5.6 V in the given circuit.
The current IZ through the Zener is :

View Question
A thin strip 10 cm long is on a U shaped wire
of negligible resistance and it is connected to
a spring of spring constan

View Question
An upright object is placed at a distance of
40 cm in front of a convergent lens of focal
length 20 cm. A convergent mir

View Question
A 20 Henry inductor coil is connected to a
10 ohm resistance in series as shown in figure.
The time at which rate of dis

View Question
A wire of length 2L, is made by joining two
wires A and B of same length but different radii
r and 2r and made of the s

View Question
Ship A is sailing towards north-east with
velocity $$\mathop v\limits^ \to = 30\mathop i\limits^ \wedge + 50\mathop

View Question
A thin circular plate of mass M and radius R
has its density varying as $$\rho $$(r) = $$\rho $$0r with $$\rho $$0 as
co

View Question
A solid conducting sphere, having a charge Q,
is surrounded by an uncharged conducting
hollow spherical shell. Let the p

View Question
In figure, the optical fiber is $$l$$ = 2m long and
has a diameter of d = 20 μm. If a ray of light
is incident on one en

View Question
A steel wire having a radius of 2.0 mm,
carrying a load of 4 kg, is hanging from a
ceiling. Given that g = 3.1 p ms–2, w

View Question
Four identical particles of mass M are located
at the corners of a square of side 'a'. What
should be their speed if eac

View Question
A particle moves in one dimension from rest
under the influence of a force that varies with
the distance travelled by th

View Question
A plane electromagnetic wave travels in free
space along the x-direction. The electric field
component of the wave at a

View Question
In SI units, the dimesions of $$\sqrt {{{{ \in _0}} \over {{\mu _0}}}} $$ is :

View Question
Radiation coming from transitions
n = 2 to n = 1 of hydrogen atoms fall on He+
ions in n = 1 and n = 2 states. The possi

View Question
A thermally insulated vessel contains 150g of
water at 0°C. Then the air from the vessel is
pumped out adiabatically. A

View Question
In an interference experiment the ratio of amplitudes of coherent waves is $${{{a_1}} \over {{a_2}}} = {1 \over 3}$$ . T

View Question
Two particles move at right angle to each other.
Their de-Broglie wavelengths are $$\lambda _1$$ and $$\lambda _2$$
resp

View Question
The wavelength of the carrier waves in a
modern optical fiber communication network
is close to :

View Question
An alternating voltage v(t) = 220 sin 100 $$\pi $$t volt
is applied to a purely resistance load of 50$$\Omega $$ .
The t

View Question
If 1022 gas molecules each of mass 10–26 kg
collide with a surface (perpendicular to it)
elastically per second over an

View Question