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 :

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

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

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

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

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Maltose on treatment with dilute HCI gives :

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

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The following ligand is :

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

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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

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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

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

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

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

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

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The major product of the following reaction is :

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The major product of the following reaction is :

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

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

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The lathanide ion that would show colour is :

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

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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

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

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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

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

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

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The major product of the following reaction is :

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

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

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The IUPAC name of the following compound is :

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## 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

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

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

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

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

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

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

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

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

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

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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

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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_

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

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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,

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

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

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

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

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

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

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

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

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

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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

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

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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

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

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

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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

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

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## Physics

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

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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

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

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

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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.

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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

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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

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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

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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

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

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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

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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

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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

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

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

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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

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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

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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

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

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

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

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

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

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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

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

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

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

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

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

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

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