JEE Main 2018 (Online) 16th April Morning Slot

Paper was held on
Mon, Apr 16, 2018 3:30 AM

## Chemistry

Which of the following statements is false ?

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At 320 K, a gas A2 is 20% dissociated to A(g). The standard free energy change at 320 K and 1 atm in J mol-1 is approxim

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The incorrect statement is :

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The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol-1 ) needed to be dissolved in 114 g octane to

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The incorrect geometry is represented by :

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In Wilkinson's catalyst, the hybridization of central metal ion and its shape are respectively :

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Which of the following complexes will shows geometrical isomerism ?

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Among the oxides of nitrogen : N2O3, N2O4 and N2O5; the molecule(s) having nitrogen-nitrogen bond is / are :

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In the extraction of copper from its sulphate ore, metal is finally obtained by the oxidation of cuprous sulphide with :

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Which of the following conversions involves change in both shape and hybridisation ?

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A group 13 element 'X' reacts with chlorine gas to produce a compound XCl3. XCl3 is electron deficient and easily reacts

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When XO2 is fused with an alkali metal hydroxide in presence of an oxidizing agent such as KNO3 ; a dark green product

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For standardizing NaOH solution, which of the following is used as a primary standard ?

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The correct match between items of List - I and List - II is :
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Among the following, the incorrect statement is :

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Which of the following compounds will most readily be dehydrated to give alkene under acidic condition ?

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Products A and B formed in the following reactions are respectively :

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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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The major product B formed in the following reaction sequence is :

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The most polar compound among the following is :

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The major product of the following reaction is :

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In a complexometric titration of metal ion with ligand
M(Metal ion) + L(Ligand) $$ \to $$ C(Complex) end point is esti

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The gas phase reaction 2NO2(g) $$ \to $$ N2O4(g) is an exothermic reaction. The decomposition of N2O4, in equilibrium

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An unknown chlorohydrocarbon has 3.55% of chlorine. If each molecule of the hydrocarbon has one chlorine atom only; chlo

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Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and press

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When 9.65 ampere current was passed for 1.0 hour into nitrobenzene in acidic medium, the amount of p-aminophenol produce

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Which one of the following is not a property of physical adsorption ?

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For which of the following processes, $$\Delta $$S is negative ?

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If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 secod, the order of this reaction is :

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## Mathematics

The least positive integer n for which $${\left( {{{1 + i\sqrt 3 } \over {1 - i\sqrt 3 }}} \right)^n} = 1,$$ is :

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Let p, q and r be real numbers (p $$ \ne $$ q, r $$ \ne $$ 0), such that the roots of the equation $${1 \over {x + p}}

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Let N denote the set of all natural numbers. Define two binary relations on N as R = {(x, y) $$ \in $$ N $$ \times $$ N

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Let A = $$\left[ {\matrix{
1 & 0 & 0 \cr
1 & 1 & 0 \cr
1 & 1 & 1 \cr
} } \right

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The number of values of k for which the system of linear equations,
(k + 2)x + 10y = k
kx + (k +3)y = k -1
has no solu

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The coefficient of x2 in the expansion of the product
(2$$-$$x2) .((1 + 2x + 3x2)6 + (1 $$-$$ 4x2)6) is :

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The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is

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The sum of the first 20 terms of the series
$$1 + {3 \over 2} + {7 \over 4} + {{15} \over 8} + {{31} \over {16}} + ...,

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$$\mathop {\lim }\limits_{x \to 0} \,\,{{{{\left( {27 + x} \right)}^{{1 \over 3}}} - 3} \over {9 - {{\left( {27 + x} \ri

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Let $${1 \over {{x_1}}},{1 \over {{x_2}}},...,{1 \over {{x_n}}}\,\,$$ (xi $$ \ne $$ 0 for i = 1, 2, ..., n) be in A.P. s

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Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x3 $$-$$ 9x2

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If the function f defined as
$$f\left( x \right) = {1 \over x} - {{k - 1} \over {{e^{2x}} - 1}},x \ne 0,$$ is continuou

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If $$x = \sqrt {{2^{\cos e{c^{ - 1}}}}} $$ and $$y = \sqrt {{2^{se{c^{ - 1}}t}}} \,\,\left( {\left| t \right| \ge 1} \ri

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If $$\int {{{\tan x} \over {1 + \tan x + {{\tan }^2}x}}dx = x - {K \over {\sqrt A }}{{\tan }^{ - 1}}} $$ $$\left( {{{K\,

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If $$f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,} $$ then :

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If the area of the region bounded by the curves, $$y = {x^2},y = {1 \over x}$$ and the lines y = 0 and x= t (t >1) is

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The differential equation representing the family of ellipse having foci eith on the x-axis or on the $$y$$-axis, center

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The locus of the point of intersection of the lines, $$\sqrt 2 x - y + 4\sqrt 2 k = 0$$ and $$\sqrt 2 k\,x + k\,y - 4\sq

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If a circle C, whose radius is 3, touches externally the circle,
$${x^2} + {y^2} + 2x - 4y - 4 = 0$$ at the point (2, 2

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If the length of the latus rectum of an ellipse is 4 units and the distance between a focus an its nearest vertex on the

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Let P be a point on the parabola, x2 = 4y. If the distance of P from the center of the circle, x2 + y2 + 6x + 8 = 0 is m

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If the angle between the lines, $${x \over 2} = {y \over 2} = {z \over 1}$$
and $${{5 - x} \over { - 2}} = {{7y - 14} \

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The sum of the intercepts on the coordinate axes of the plane passing through the point ($$-$$2, $$-2,$$ 2) and containi

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Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow c = \widehat j - \widehat k$$ and a vec

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Let A, B and C be three events, which are pair-wise independent and $$\overrightarrow E $$ denotes the completement of a

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The mean and the standarddeviation(s.d.) of five observations are9 and 0, respectively. If one of the observations is ch

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Two different families A and B are blessed with equal numbe of children. There are 3 tickets to be distributed amongst t

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If an angle A of a $$\Delta $$ABC satiesfies 5 cosA + 3 = 0, then the roots of the quadratic equation, 9x2 + 27x + 20 =

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If p $$ \to $$ ($$ \sim $$ p$$ \vee $$ $$ \sim $$ q) is false, then the truth values of p and q are respectively :

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A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If

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## Physics

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physica

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Let $$\overrightarrow A $$ = $$\left( {\widehat i + \widehat j} \right)$$ and, $$\overrightarrow B = \left( {2\widehat

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A body of mass m starts moving from rest along x-axis so that its velocity varies as $$\upsilon = a\sqrt s $$ where a i

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Two particles of the same mass m are moving in circular orbits because of force, given by $$F\left( r \right) = {{ - 16}

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Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence :

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The relative uncertainly in the period of a satellite orbiting around the earth is 10-2. If the relative uncertainty in

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An oscillator of mass M is at rest in its equilibrium position in a potential
V = $${1 \over 2}$$ k(x $$-$$ X)2. A par

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A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let P2 be the pr

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A particle executes simple harmonic motion and is located at x = a, b and c at times t0, 2t0 and 3t0 respectively. The

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Two moles of helium are mixed with n moles of hydrogen. If $${{Cp} \over {Cv}} = {3 \over 2}$$ for the mixture, then th

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Two sitar strings, A and B, playing the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz. The te

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A galvanometer with its coil resistance 25 $$\Omega $$ requires a current of 1 mA for its full deflection. In order to c

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A heating element has a resistance of 100 $$\Omega $$ at room temperature. When it is connected to a supply of 220 V, a

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Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their d

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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 t

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A plane electromagnetic wave of wavelength $$\lambda $$ has an intensity I. It is propagatting along the positive Y-dir

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A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angu

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A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity $$\omega $

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A ray of light is incident at an angle of 60o on one face of a prism of angle 30o. The emergent ray of light makes an a

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Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent

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The de-Broglie wavelength ($$\lambda $$B) associated with the electron orbiting in the second excited state of hydrogen

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Both the nucleus and the atom of some element arein their respective first excited states. They get de-excted by emittin

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At some instant, a radioactive sample S1 having an activity 5 $$\mu $$Ci has twice the number of nuclei as another samp

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The end correction of a resonance column is 1 cm. If the shortest length resonating with the tunning fork is 10 cm, the

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In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistan

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A carrier wave of peak voltage 14 V is used for transmitting a message signal. The peak voltage of modulating signal giv

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In the given circuit, the current through zener diode is :

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A thin circular disk is in the xy plane as shown in the figure. The ratio of its moment of inertia about z and z' axes w

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In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C1 as a function of time will be

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One mole of an ideal monoatomic gas is taken along the path ABCA as show in the PV diagram. The maximum temperature atta

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