JEE Main 2019 (Online) 12th January Evening Slot

Paper was held on
Sat, Jan 12, 2019 9:30 AM

## Chemistry

The major product of the following reaction is –

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The major product in the following conversion is –

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$$ \wedge _m^ \circ $$ for NaCl, HCl and NaA are 126.4, 425.9 and 100.5 S cm2 mol–1, respectively. If the conductivity

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The major product of the following reaction is –

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The compound that is NOT a common component of photochemical smog is :

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The combination of plots which does not represent isothermal expansion of an ideal gas is –

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Molecules of benzoic acid (C6H5COOH) dimerise in benzene. 'w' g of the acid dissolved in 30 g of benzene shows a depress

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The element that does NOT show catenation is :

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If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 $$\pi $$a0 (a0 is Bo

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The aldehydes which will not form Grignard product with one equivalent Grignard reagents are -

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For a reaction consider the plot of $$\ell $$n k versus 1/T given in the figure. If the rate constant of this reaction a

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Given
(i) C (graphite) + O2(g) $$ \to $$ CO2(g); $$\Delta $$rH$$^\Theta $$ = x kJ mol$$-$$1
(ii)

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The upper stratosphere consisting of the ozone layer protects us from sun's radiation that falls in the wavelength regio

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The increasing order of the reactivity of the following with LiAlH4 is

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8 g of NaOH is dissolved in 18g of H2O. Mole fraction of NaOH in solution and molality (in mol kg–1) of the solution res

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If Ksp of Ag2CO3 is 8 $$ \times $$ 10–12, the molar solubility of Ag2CO3 in 0.1 M AgNO3 is -

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An open vessel at 27oC is heated until two fifth of the air (assumed as an ideal gas) it has escaped from the vessel ass

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The volume strength of 1M H2O2 is : (Molar mass of H2O2 = 34 g mol–1)

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The correct structure of histidine in a strongly acidic solution (pH = 2) is -

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The two monomers for the synthesis of Nylon 6, 6 are

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The pair that does NOT require calcination is -

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The element that shows greater ability to form p$$\pi $$-p$$\pi $$ multiple bonds, is :

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The major product of the following reaction is :

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Chlorine on reaction with hot and concentrated sodium hydroxide give :

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The magnetic moment of an octahedral homoleptic Mn(II) complex is 5.9 BM. The suitable ligand for this complex is -

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The correct order of atomic radii is :

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Among the following the false statement is -

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The major product of the following reaction is –

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The correct statement (s) among I to III with respect to potassium ions that are abundant within the cell fluid
is /are

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The major product of the following reaction is –

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## Mathematics

The expression $$ \sim $$ ($$ \sim $$ p $$ \to $$ q) is logically equivalent to :

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$$\mathop {\lim }\limits_{x \to {1^ - }} {{\sqrt \pi - \sqrt {2{{\sin }^{ - 1}}x} } \over {\sqrt {1 - x} }}$$ is equal

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The equation of a tangent to the parabola, x2
= 8y, which makes an angle $$\theta $$ with the positive directions of x-

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If the sum of the first 15 terms of the series $${\left( {{3 \over 4}} \right)^3} + {\left( {1{1 \over 2}} \right)^3} +

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There are m men and two women participating in a chess tournament. Each participant plays two games with every other par

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If a curve passes through the point (1, –2) and has slope of the tangent at any point (x, y) on it as $${{{x^2} - 2y} \o

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In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number o

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If sin4$$\alpha $$ + 4 cos4$$\beta $$ + 2 = 4$$\sqrt 2 $$ sin $$\alpha $$ cos $$\beta $$; $$\alpha $$, $$\beta $$ $$ \in

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If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the
locus of th

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The integral $$\int\limits_1^e {\left\{ {{{\left( {{x \over e}} \right)}^{2x}} - {{\left( {{e \over x}} \right)}^x}} \ri

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The integral $$\int {{{3{x^{13}} + 2{x^{11}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^4}}}} \,dx$$ is equal to :

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Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If $$\Delta $$S'BS is a ri

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Let S be the set of all real values of $$\lambda $$ such that a plane passing through the points (–$$\lambda $$2, 1, 1),

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If the function f given by f(x) = x3 – 3(a – 2)x2 + 3ax + 7, for some a$$ \in $$R is increasing in (0, 1] and decreasin

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Let Z be the set of integers.
If A = {x $$ \in $$ Z : 2(x + 2) (x2 $$-$$ 5x + 6) = 1} and
B = {x $$ \in $$ Z : $$-$$

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In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these student

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$$\mathop {\lim }\limits_{x \to \infty } \left( {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + {n \over {{n^2}

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If A = $$\left[ {\matrix{
1 & {\sin \theta } & 1 \cr
{ - \sin \theta } & 1 & {\sin \

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Let z1 and z2 be two complex numbers satisfying | z1 | = 9 and | z2 – 3 – 4i | = 4. Then the minimum value of
| z1 – z2

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If nC4, nC5 and nC6 are in A.P., then n can be :

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Let f be a differentiable function such that f(1) = 2 and f '(x) = f(x) for all x $$ \in $$ R R. If h(x) = f(f(x)), then

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If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30o and the angle of depression of ref

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If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes i

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The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are
3, 4 and 4

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Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three unit vectors, out of which vecto

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The tangent to the curve y = x2 – 5x + 5, parallel to the line 2y = 4x + 1, also passes through the point :

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If an angle between the line, $${{x + 1} \over 2} = {{y - 2} \over 1} = {{z - 3} \over { - 2}}$$ and the plane, $$x - 2y

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The set of all values of $$\lambda $$ for which the system of linear equations
x – 2y – 2z = $$\lambda $$x
x + 2y + z =

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The total number of irrational terms in the binomial expansion of (71/5 – 31/10)60 is :

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The number of integral values of m for which the quadratic expression, (1 + 2m)x2 – 2(1 + 3m)x + 4(1 + m), x $$ \in $$ R

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## Physics

An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive

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A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the fig

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A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 $$ \times $$ 10–4 A passes throu

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Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular

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A simple harmonic motion is represented by :
y = 5 (sin 3 $$\pi $$ t + $$\sqrt 3 $$ cos 3 $$\pi $$t) cm
The amplitude an

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Let $$\ell $$, r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of $${\

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A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclin

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A plano-convex lens (focal length f2, refractive index $$\mu $$2, radius of curvature R) fits exactly into a plano-conca

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In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 e

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The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)

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In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents

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A load of mass M kg is suspended from a steel wire of length 2m and radius 1.0 mm in Searle's apparatus
experiment. The

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A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between th

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When a certain photosensitive surface is illuminated with monochromatic light of frequency v, the stopping
potential for

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In the figure, given that VBB supply can vary from 0 to 5.0 V, VCC = 5V, $$\beta $$dc = 200, RB = 100 k$$\Omega $$, RC =

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A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. T

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An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scatte

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A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A

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A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms–1, at right angl

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The mean intensity of radiation on the surface of the Sun is about 108 W/m2 . The rms value of the corresponding magnet

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A soap bubble, blown by a mechanical pump at the mouth of a tube, increases in volume, with time, at a constant rate. Th

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Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed $$\omega $$. At t =

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In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 $$\mu $$F. All values in the

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A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 $$ \times $$ 10–4. It

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In a radioactive decay chain, the initial nucleus is $${}_{90}^{232}$$Th. At the end there are 6 $$\alpha $$-particles a

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To double the covering range of a TV transmittion tower, its height should be multiplied by :

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A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liqu

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In the above circuit, C = $${{\sqrt 3 } \over 2}$$$$\mu $$F, R2 = 20 $$\Omega $$, L = $${{\sqrt 3 } \over {10}}$$ H and

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Formation of real image using a biconvex lens is shown below :
If the whole set up is immersed in water without disturb

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The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure :
When is the value of curr

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