JEE Main 2016 (Offline)

Paper was held on
Sun, Apr 3, 2016 9:30 AM

## Chemistry

A stream of electrons from a heated filament was passed between two charged plates kept at a potential
difference V esu.

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The heats of combustion of carbon and carbon monoxide are –393.5 and –283.5 kJ mol–1, respectively. The
heat of formatio

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The equilibrium constant at 298 K for a reaction A + B $$\leftrightharpoons$$ C + D is 100. If the initial concentration

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Which of the following atoms has the highest first ionization energy?

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Which one of the following statements about water is FALSE?

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The main oxides formed on combustion of Li, Na and K in excess of air are, respectively:

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The distillation technique most suited for separating glycerol from spent-lye in the soap industry is :

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At 300 K and 1 atm, 15 mL of a gaseous hydrocarbon requires 375 mL air containing 20% O2 by volume
for complete combusti

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The reaction of propene with HOCl (Cl2 + H2O) proceeds through the intermediate:

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For a linear plot of log (x/m) versus log p in a Freundlich adsorption isotherm, which of the following
statements is co

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18 g glucose (C6H12O6) is added to 178.2 g water. The vapor pressure of water (in torr) for this aqueous solution is :

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Galvanization is applying a coating of:

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Decomposition of H2O2 follows a first order reaction. In fifty minutes the concentration of H2O2 decreases
from 0.5 to 0

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Which one of the following ores is best concentrated by froth floatation method?

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The pair in which phosphorous atoms have a formal oxidation state of +3 is:

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The reaction of zinc with dilute and concentrated nitric acid, respectively, produces:

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Which of the following compounds is metallic and ferromagnetic ?

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Which one of the following complexes shows optical isomerism?
(en = ethylenediamine)

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The pair having the same magnetic moment is :
[At. No.: Cr = 24, Mn = 25, Fe = 26, Co = 27]

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Thiol group is present in :

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In the Hofmann bromamide degradation reaction, the number of moles of NaOH and Br2 used per mole of
amine produced are:

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Which of the following is an anionic detergent ?

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The concentration of fluoride, lead, nitrate and iron in a water sample from an underground lake was found
to be 1000 pp

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Which of the following statements about low density polythene is FALSE ?

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Two closed bulbs of equal volume $$(V)$$ containing an ideal gas initially at pressure $${p_i}$$ and temperature $${T_1}

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The absolute configuration of
is :

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The hottest region of Bunsen flame shown in the figure below is :

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$$2$$-chloro-$$2$$-methylpentane on reaction with sodium methoxide in methanol yields:

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The product of the reaction given below is :

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The species in which the $\mathrm{N}$ atom is in a state of $s p$ hybridization is :

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## Mathematics

If $$0 \le x < 2\pi $$, then the number of real values of $$x$$, which satisfy the equation $$\,\cos x + \cos 2x + \c

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A value of $$\theta \,$$ for which $${{2 + 3i\sin \theta \,} \over {1 - 2i\,\,\sin \,\theta \,}}$$ is purely imaginary,

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The sum of all real values of $$x$$ satisfying the equation $${\left( {{x^2} - 5x + 5} \right)^{{x^2} + 4x - 60}}\, = 1$

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If all the words (with or without meaning) having five letters,formed using the letters of the word SMALL and arranged a

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If the number of terms in the expansion of $${\left( {1 - {2 \over x} + {4 \over {{x^2}}}} \right)^n},\,x \ne 0,$$ is 28

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If the $${2^{nd}},{5^{th}}\,and\,{9^{th}}$$ terms of a non-constant A.P. are in G.P., then the common ratio of this G.P.

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If the sum of the first ten terms of the series $${\left( {1{3 \over 5}} \right)^2} + {\left( {2{2 \over 5}} \right)^2}

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Two sides of a rhombus are along the lines, $$x - y + 1 = 0$$ and $$7x - y - 5 = 0$$. If its diagonals intersect at $$(

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The centres of those circles which touch the circle, $${x^2} + {y^2} - 8x - 8y - 4 = 0$$, externally and also touch the

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If one of the diameters of the circle, given by the equation, $${x^2} + {y^2} - 4x + 6y - 12 = 0,$$ is a chord of a circ

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The eccentricity of the hyperbola whose length of the latus rectum is equal to $$8$$ and the length of its conjugate axi

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Let $$P$$ be the point on the parabola, $${{y^2} = 8x}$$ which is at a minimum distance from the centre $$C$$ of the cir

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A wire of length $$2$$ units is cut into two parts which are bent respectively to form a square of side $$=x$$ units and

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Consider :
f $$\left( x \right) = {\tan ^{ - 1}}\left( {\sqrt {{{1 + \sin x} \over {1 - \sin x}}} } \right),x \in \left(

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If $$A = \left[ {\matrix{
{5a} & { - b} \cr
3 & 2 \cr
} } \right]$$ and $$A$$ adj $$A=A$$ $${A^T},$

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The system of linear equations
$$\matrix{
{x + \lambda y - z = 0} \cr
{\lambda x - y - z = 0} \cr
{x + y -

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The integral $$\int {{{2{x^{12}} + 5{x^9}} \over {{{\left( {{x^5} + {x^3} + 1} \right)}^3}}}} dx$$ is equal to :

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The area (in sq. units) of the region $$\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,\,\,and\,\,\,{x^2} + {y^2} \le 4x,x

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If a curve $$y=f(x)$$ passes through the point $$(1,-1)$$ and satisfies the differential equation, $$y(1+xy) dx=x$$ $$dy

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Let two fair six-faced dice $$A$$ and $$B$$ be thrown simultaneously. If $${E_1}$$ is the event that die $$A$$ shows up

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If the line, $${{x - 3} \over 2} = {{y + 2} \over { - 1}} = {{z + 4} \over 3}\,$$ lies in the planes, $$lx+my-z=9,$$ the

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Let $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ be three unit vectors such that $$\overrightarr

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The distance of the point $$(1,-5,9)$$ from the plane $$x-y+z=5$$ measured along the line $$x=y=z$$ is :

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The Boolean expression
$$\left( {p \wedge \sim q} \right) \vee q \vee \left( { \sim p \wedge q} \right)$$ is equivalent

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If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?

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For $$x \in \,R,\,\,f\left( x \right) = \left| {\log 2 - \sin x} \right|\,\,$$
and $$\,\,g\left( x \right) = f\left( {f

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$$\mathop {\lim }\limits_{n \to \infty } {\left( {{{\left( {n + 1} \right)\left( {n + 2} \right)...3n} \over {{n^{2n}}}}

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Let $$p = \mathop {\lim }\limits_{x \to {0^ + }} {\left( {1 + {{\tan }^2}\sqrt x } \right)^{{1 \over {2x}}}}$$ then $$lo

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If $f(x)+2 f\left(\frac{1}{x}\right)=3 x, x \neq 0$, and $\mathrm{S}=\{x \in \mathbf{R}: f(x)=f(-x)\}$; then $\mathrm{S}

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A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he

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## Physics

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90 s, 91 s, 95 s

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A screw gauge with a pitch of 0.5 mm and a circular scale with 50 divisions is used to measure the
thickness of a thin s

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A person trying to lose weight by burning fat lifts a mass of $$10$$ $$kg$$ upto a height of $$1$$ $$m$$ $$1000$$ times.

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A satellite is revolving in a circular orbit at a height $$'h'$$ from the earth's surface (radius of earth $$R;h <

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A point particle of mass $$m,$$ moves long the uniformly rough track $$PQR$$ as shown in the figure. The coefficient of

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A pendulum clock loses $$12$$ $$s$$ a day if the temperature is $${40^ \circ }C$$ and gains $$4$$ $$s$$ a day if the tem

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An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity $$C$$ remains constant. If du

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A roller is made by joining together two cones at their vertices $$0$$. It is kept on two rails $$AB$$ and $$CD$$, which

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$$'n'$$ moles of an ideal gas undergoes a process $$A$$ $$ \to $$ $$B$$ as shown in the figure. The maximum temperature

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A particle performs simple harmonic motion with amplitude $$A.$$ Its speed is trebled at the instant that it is at a dis

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A uniform string of length $$20$$ $$m$$ is suspended from a rigid support. A short wave pulse is introduced at its lowes

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A pipe open at both ends has a fundamental frequency $$f$$ in air. The pipe is dipped vertically in water so that half o

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The region between two concentric spheres of radii $$'a'$$ and $$'b',$$ respectively (see figure), have volume charge de

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A combination of capacitors is set up as shown in the figure. The magnitude of the electric field, due to a point charge

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The temperature dependence of resistance of $$Cu$$ and undoped $$Si$$ in the temperature range $$300-400$$ $$K,$$ is bes

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A galvanometer having a coil resistance of $$100\,\Omega $$ gives a full scale deflection, when a currect of $$1$$ $$mA$

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Two identical wires $$A$$ and $$B,$$ each of length $$'l'$$, carry the same current $$I$$. Wire $$A$$ is bent into a cir

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Hysteresis loop for two magnetic materials $$A$$ and $$B$$ are given below :
These materials are used to make magnets

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The box of a pin hole camera, of length $$L,$$ has a hole of radius a. It is assumed that when the hole is illuminated b

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In an experiment for determination of refractive index of glass of a prism by $$i - \delta ,$$ plot it was found thata r

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An observer looks at a distant tree of height $$10$$ $$m$$ with a telescope of magnifying power of $$20.$$ To the observ

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For a common emitter configuration, if $$\alpha $$ and $$\beta $$ have their usual meanings, the incorrect relationship

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Choose the correct statement :

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Radiation of wavelength $$\lambda ,$$ is incident on a photocell. The fastest emitted electron has speed $$v.$$ If the w

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Half-lives of two radioactive elements $$A$$ and $$B$$ are $$20$$ minutes and $$40$$ minutes, respectively. Initially, t

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If $$a, b, c, d$$ are inputs to a gate and $$x$$ is its output, then, as per the following time graph, the gate is :

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Identify the semiconductor devices whose characteristics are given below, in the order $$(a), (b), (c), (d)$$ :

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A particle of mass m is moving along the
side of a square of side ‘a’, with a uniform
speed v in the x-y plane as shown

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An arc lamp requires a direct current of
10 A at 80 V to function. If it is connected
to a 220 V (rms), 50 Hz AC supply,

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Arrange the following electromagnetic
radiations per quantum in the order of
increasing energy :
A : Blue light &nb

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