JEE Main 2016 (Online) 9th April Morning Slot
Paper was held on Sat, Apr 9, 2016 3:30 AM
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Chemistry

The amount of arsenic pentasulphide that can be obtained when 35.5 g arsenic acid istreated with excess H2S in the prese
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At very high pressures, the compressibility factor of one mole of a gas is given by :
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Which intermolecular force is most responsible in allowing xenon gas to liquefy?
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For the reaction, A(g) + B(g) $$ \to $$ C(g) + D(g), $$\Delta $$Ho and $$\Delta $$So are, respectively, − 29.8 kJ mol−
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A reaction at 1 bar is non-spontaneous at low temperature but becomes spontaneous at high temperature. Identify the corr
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What will occur if a block of copper metal is dropped into a beaker containing a solution of 1M ZnSO4?
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The total number of orbitals associated with the principal quantum number 5 is :
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The solubility of N2 in water at 300 K and 500 torr partial pressure is 0.01 g L−1. The solubility (in g L−1) at 750 tor
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A particular adsorption process has the following characteristics : (i) It arises due to van der Waals forces and (ii) i
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The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below :
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Identify the incorrect statement regarding heavy water :
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The non-metal that does not exhibit positive oxidation state is :
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Match the items in Column I with its main use listed in Column II : .tg {border-collapse:collapse;border-spacing:0;bor
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The group of molecules having identical shape is :
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The correct order of the solubility of alkaline-earth metal sulphates in water is :
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Identify the correct trend given below : (Atomic No.=Ti : 22, Cr : 24 and Mo : 42)
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Which one of the following complexes will consume more equivalents of aqueous solution of Ag(NO3)?
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Which one of the following species is stable in aqueous solution?
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BOD stands for :
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An organic compound contains C, H and S. The minimum molecular weight of the compound containing 8% sulphur is : (atomi
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The hydrocarbon with seven carbon atoms containing a neopentyl and a vinyl group is :
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5 L of an alkane requires 25 L of oxygen for its complete combustion. If all volumes are measured at constant temperatur
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The gas evolved on heating CH3MgBr in methanol is :
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Bouveault-Blanc reduction reaction involves :
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Assertion : Rayon is a semisynthetic polymer whose properties are better than natural cotton. Reason : Mechanical and
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The artificial sweetener that has the highest sweetness value in comparison to cane sugar is :
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The test to distinguish primary, secondary and tertiary amines is :
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The most appropriate method of making egg-albumin sol is :
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The plot shows the variation of −$$ln$$ Kp versus temperature for the two reactions. M(s) + $${1 \over 2}$$ O2(g) $$ \to
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Consider the following sequence for aspartic acid : The pI (isoelectric point) of aspartic acid is :
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Mathematics

For x $$ \in $$ R, x $$ \ne $$ 0, Let f0(x) = $${1 \over {1 - x}}$$ and fn+1 (x) = f0(fn(x)), n = 0, 1, 2, . . . . Th
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The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from ther
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If P = $$\left[ {\matrix{ {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \cr { - {1 \over 2}} & {{{\sqrt 3 } \ov
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If the equations x2 + bx−1 = 0 and x2 + x + b = 0 have a common root different from −1, then $$\left| b \right|$$ is equ
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The number of distinct real roots of the equation, $$\left| {\matrix{ {\cos x} & {\sin x} & {\sin x} \cr
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If the four letter words (need not be meaningful ) are to be formed using the letters from the word “MEDITERRANEAN” such
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Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0.1) (600)3. Then x3 + y3 + z3is equal to :
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For x $$ \in $$ R, x $$ \ne $$ -1, if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 = $$\sum\limits_{i
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The value of $$\sum\limits_{r = 1}^{15} {{r^2}} \left( {{{{}^{15}{C_r}} \over {{}^{15}{C_{r - 1}}}}} \right)$$ is equal
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If    $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {
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If the function f(x) = $$\left\{ {\matrix{ { - x} & {x < 1} \cr {a + {{\cos }^{ - 1}}\left( {x + b} \rig
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If the tangent at a point P, with parameter t, on the curve x = 4t2 + 3, y = 8t3−1, t $$ \in $$ R, meets the curve again
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If   $$\int {{{dx} \over {{{\cos }^3}x\sqrt {2\sin 2x} }}} = {\left( {\tan x} \right)^A} + C{\left( {\tan x}
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The minimum distance of a point on the curve y = x2−4 from the origin is :
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If   $$2\int\limits_0^1 {{{\tan }^{ - 1}}xdx = \int\limits_0^1 {{{\cot }^{ - 1}}} } \left( {1 - x + {x^2}} \ri
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If   f(x) is a differentiable function in the interval (0, $$\infty $$) such that f (1) = 1 and $$\mathop {
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If a variable line drawn through the intersection of the lines $${x \over 3} + {y \over 4} = 1$$ and $${x \over 4} + {y
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The area (in sq. units) of the region described by A= {(x, y) $$\left| {} \right.$$y$$ \ge $$ x2 $$-$$ 5x + 4, x + y $$
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The point (2, 1) is translated parallel to the line L : x− y = 4 by $$2\sqrt 3 $$ units. If the newpoint Q lies in the t
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A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a d
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Consider the following two statements : P :     If 7 is an odd number, then 7 is divisible by 2. Q :&nbs
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The shortest distance between the lines $${x \over 2} = {y \over 2} = {z \over 1}$$ and $${{x + 2} \over { - 1}} = {{y
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If the mean deviation of the numbers 1, 1 + d, ..., 1 +100d from their mean is 255, then a value of d is :
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The number of x $$ \in $$ [0,   2$$\pi $$ ] for which $$\left| {\sqrt {2{{\sin }^4}x + 18{{\cos }^2}x} - \sqrt {
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If the tangent at a point on the ellipse $${{{x^2}} \over {27}} + {{{y^2}} \over 3} = 1$$ meets the coordinate axes at A
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If A and B are any two events such that P(A) = $${2 \over 5}$$ and P (A $$ \cap $$ B) = $${3 \over {20}}$$, hen the cond
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In a triangle ABC, right angled at the vertex A, if the position vectors of A, B and C are respectively 3$$\widehat i$$
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Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the e
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The distance of the point (1, − 2, 4) from the plane passing through the point (1, 2, 2) and perpendicular to the planes
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If  m and M are the minimum and the maximum values of 4 + $${1 \over 2}$$ sin2 2x $$-$$ 2cos4 x, x $$ \in $$ R, the
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Physics

A rocket is fired vertically from the earth with an acceleration of 2g, where g is the gravitational acceleration. On an
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In the following ‘I’ refers to current and other symbols have their usual meaning. Choose the option that corresponds to
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A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional f
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A cubical block of side 30 cm is moving with velocity 2 ms−1 on a smooth horizontal surface. The surface has a bump at a
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The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is :
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200 g water is heated from 40oC to 60oC. Ignoring the slight expansion of water, the change in its internal energy is cl
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Two engines pass each other moving in opposite directions with uniform speed of 30 m/s. One of them is blowing a whistle
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Two particles are performing simple harmonic motion in a straight line about the same equilibrium point. The amplitude a
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Three capacitors each of 4 $$\mu $$F are to be connected in such a way that the effective capacitance is 6 $$\mu $$F. Th
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A magnetic dipole is acted upon by two magnetic fields which are inclined to each other at an angle of 75o. One of the f
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The potential (in volts) of a charge distribution is given by. V(z) = 30 $$-$$ 5x2 for $$\left| z \right|$$ $$ \le $$ 1
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A 50 $$\Omega $$ resistance is connected to a battery of 5 V. A galvanometer of resistance 100 $$\Omega $$ is to be used
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A hydrogen atom makes a transition from n = 2 to n = 1 and emits a photon. This photon strikes a doubly ionized lithium
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When photons of wavelength $${\lambda _1}$$ are incident on an isolated sphere, the corresponding stopping potential is
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Microwave oven acts on the principle of :
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In Young’s double slit experiment, the distance between slits and the screen is 1.0 m and monochromatic light of 600 nm
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The truth table given in fig. represents : .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg td{font-fami
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An audio signal consists of two distinct sounds : one a human speech signal in the frequency band of 200 Hz to 2700 Hz,
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A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length L. Th
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A simple pendulum made of a bob of mass m and a metallic wire of negligible mass has time period 2 s at T=0oC. If the te
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To find the focal length of a convex mirror, a student records the following data : .tg {border-collapse:collapse;bord
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Figure shows elliptical path abcd of a planet around the sun S such that the area of triangle csa is $${1 \over 4}$$ the
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Which of the following option correctly describes the variation of the speed v and acceleration ‘a’ of a point mass fall
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An unknown transistor needs to be identified as a npn or pnp type. A multimeter, with + ve and − ve terminals, is used t
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To know the resistance G of a galvanometer by half deflection method, a battery of emf VE and resistance R is used to de
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In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum the
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Consider a water jar of radius R that has water filled up to height H and is kept on astand of height h (see figure). Th
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An experiment is performed to determine the I - V characteristics of a Zener diode, which has a protective resistance of
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A series LR circuit is connected to a voltage source with V(t) = V0 sin$$\Omega $$t. After very large time, current I(
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A convex lens, of focal length 30 cm, a concave lens of focal length 120 cm, and aplane mirror are arranged as shown. Fo
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