JEE Main 2019 (Online) 9th January Morning Slot

Paper was held on
Wed, Jan 9, 2019 3:30 AM

## Chemistry

The major product of the following reaction is :

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Which amongst the following is the strongest acid ?

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The major product of the following reaction is :

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The correct decreasing order for acid strength is :

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The compounds A and B in the following reaction are, respectively :

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Major product of the following reaction is :

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The ore that contains both iron and copper is :

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The major product of following reaction is :

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The correct match between Item-I and Item-II is :
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Arrange the following amines in the decreasing order of basicity :

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The increasing order of pka of the following amino acids in aqueous solution is : Gly Asp Lys Arg

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The highest value of the calculated spin- only magnetic moment (in BM) among all the transition metal complexes is :

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In general, the properties that decrease and increase down a group in the periodic table, respectively, are :

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Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in + 1 and + 3 oxidation states. This is

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According to molecular orbital theory, which of the following is true with respect to Li2+ and Li2$$-$$ ?

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The alkaline earth metal nitrate that does not crystallise with water molecules, is :

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Correct statements among a to d regarding silicones are :
(a) They are polymers with hydrophobic chara

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A water sample has ppm level concentration of the following metals : Fe = 0.2; Mn = 5.0; Cu = 3.0; Zn = 5.0. The metal t

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The isotopes of hydrogen are :

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20 mL of 0.1 M H2SO4 solution is added to 30 mL of of 0.2 M NH4OH solution. The pH of the resultant mixture is : [pkb of

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The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of PbSO4 electrolyz

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Which one of the following statements regarding Henry's law is not correct ?

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For emission line of atomic hydrogen from ni = 8 to nf = n, the plot of wave number $$\left( {\overline v } \right)$$ ag

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Two complexes [Cr(H2O)6]Cl3 (A) and [Cr(NH3)6]Cl3 (B) are violet and yellow coloured, respectively. The incorr

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The following results were obtained during kinetic studies of the reaction ;
2A + B $$ \to $$ Products
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A solution of sodium sulphate contains 92 g of Na+ ions per kilogram of water. The molality of Na+ ions in that solution

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0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m3 at 1000 K. Given R is

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Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2

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The one that is extensively used as a piezoelectric material is :

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Adsorption of a gas follows Freundlich adsorption isotherm. In the given plot, x is the mass of the gas adsorbed on mass

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## Mathematics

The value of $$\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx$$ is :

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Let $$\alpha $$ and $$\beta $$ be two roots of the equation x2 + 2x + 2 = 0 , then $$\alpha ^{15}$$ + $$\beta ^{15}$$ is

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Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can
be forme

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For x2 $$ \ne $$ n$$\pi $$ + 1, n $$ \in $$ N (the set of natural numbers), the integral $$\int {x\sqrt {{{2\sin ({x^2}

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Let $$\overrightarrow a $$ = $$\widehat i - \widehat j$$, $$\overrightarrow b $$ = $$\widehat i + \widehat j + \widehat

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Let f : R $$ \to $$ R be a function defined as
$$f(x) = \left\{ {\matrix{
5 & ; & {x \le 1} \cr
{a + bx

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If the fractional part of the number $$\left\{ {{{{2^{403}}} \over {15}}} \right\} is \, {k \over {15}}$$, then k is equ

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5 students of a class have an average height 150 cm and variance 18 cm2. A new student, whose height is 156 cm, joined t

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If a, b, c be three distinct real numbers in G.P. and a + b + c = xb , then x cannot be

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$$\mathop {\lim }\limits_{y \to 0} {{\sqrt {1 + \sqrt {1 + {y^4}} } - \sqrt 2 } \over {{y^4}}}$$

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Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the
origin, on

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

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Let
A = $$\left\{ {\theta \in \left( { - {\pi \over 2},\pi } \right):{{3 + 2i\sin \theta } \over {1 - 2i\sin \theta }}

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If the Boolean expression
(p $$ \oplus $$ q) $$\wedge$$ (~ p $$ \odot $$ q) is equivalent
to p $$\wedge$$ q, where $

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If y = y(x) is the solution of the differential equation,
x$$dy \over dx$$ + 2y = x2, satisfying y(1) = 1, then y($$1\o

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Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variabl

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Let $$0 < \theta < {\pi \over 2}$$. If the eccentricity of the
hyperbola $${{{x^2}} \over {{{\cos }^2}\theta }}

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If $${\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}$$ (x

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The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :

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Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements
is tru

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The system of linear equations
x + y + z = 2
2x + 3y + 2z = 5
2x + 3y + (a2 – 1) z = a + 1 then

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Three circles of radii a, b, c (a < b < c) touch each other externally. If they have x-axis as a common tangent,

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For any $$\theta \in \left( {{\pi \over 4},{\pi \over 2}} \right)$$, the expression
$$3{(\cos \theta - \sin \theta

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For $$x \in R - \left\{ {0,1} \right\}$$, Let f1(x) = $$1\over x$$, f2 (x) = 1 – x and f3 (x) = $$1 \over {1 - x}$$
be

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The equation of the line passing through (–4, 3, 1), parallel
to the plane x + 2y – z – 5 = 0 and intersecting
the line

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Equation of a common tangent to the circle, x2 + y2 – 6x = 0 and the parabola, y2 = 4x is :

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The plane through the intersection of the planes x + y + z = 1 and 2x + 3y – z + 4 = 0 and parallel to y-axis
also pass

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If $$\theta $$ denotes the acute angle between the curves, y = 10 – x2 and y = 2 + x2 at a point of their intersection,

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The area (in sq. units) bounded by the parabolae y = x2 – 1, the tangent at the point (2, 3) to it and the y-axis is :

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Let $${a_1},{a_2},.......,{a_{30}}$$ be an A.P.,
$$S = \sum\limits_{i = 1}^{30} {{a_i}} $$ and $$T = \sum\limits_{i = 1}

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## Physics

A mixture of 2 moles of helium gas (atomic mass = 4 u), and 1 mole of argon gas (atomic mass = 40 u) is kept at 300 K in

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A current loop, having two circular arcs joined by two radial lines is shown in the figure. It carries a current of 10 A

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A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a g

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A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block.

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Three charges + Q, q, + Q are placed respectively, at distance, 0, d/2 and d from the origin, on the x-axis. If the net

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A conducting circular loop made of a thin wire, has area 3.5 $$ \times $$ 10$$-$$3 m2 and resistance 10 $$\Omega $$. It

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When the switch S, in the circuit shown, is closed, then the value of current i will be :

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Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximu

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Temperature difference of 120oC is maintained between ends of a uniform rod AB of length 2L. Another bent rod PQ, of sam

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An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC

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Surface of certain metal is first illuminated with light of wavelength $$\lambda $$1 = 350 nm and then, by light of wave

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For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from

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A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass m (m < < M). When the car

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Consider a tank made of glass(refractive index 1.5) with a thick bottom. It is filled with a liquid of refractive index

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A copper wire is stretched to make it 0.5% longer. The percentage change in its electrical resistance if its volume rema

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A block of mass m, lying on a smooth horizontal surface, is attached to a sring (of negligible mass) of spring constant

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Two masses m and $${m \over 2}$$ are connected at the two ends of a massless rigid rod of length l. The rod is suspended

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An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. The r

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If the angular momentum of a planet of mass m, moving around the Sun in a circular orbit is L, about the center of the S

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Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m w

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A resistance is shown in the figure. Its value and tolerance are given respectively by :

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A particle is moving with a velocity
$$\overrightarrow v \, = K(y\widehat i + x\widehat j),$$ where K is a constant.
Th

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A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular

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A gas can be taken from A to B via two different processes ACB and ADB.
When path ACB is used 60 J of heat flows into

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A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of lin

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A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d < < a). The lowe

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Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is $$\upsilon $$. If the

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A sample of radioactive material A, that has an activity of 10 mCi(1 Ci = 3.7 $$ \times $$ 1010 decays/s), has twice the

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A bar magnet is demagnetized by inserting it inside a solenoid of length 0.2 m, 100 turns, and carrying a current of 5.2

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Mobility of electrons in a semiconductor is defined as the ratio of their drift velocity to the applied electric field.

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