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.

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

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

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

View Question Which one of the following statements about water is FALSE?

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

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

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

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

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

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

View Question Galvanization is applying a coating of :

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

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

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

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

View Question Which of the following compounds is metallic and ferromagnetic ?

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

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

View Question Thiol group is present in :

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

View Question Which of the following is an anionic detergent ?

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

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

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

View Question The absolute configuration of
is :

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

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

View Question The product of the reaction given below is :

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

View Question ## Mathematics

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

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

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

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

View Question 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

View Question 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.

View Question 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}

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

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

View Question 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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

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

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

View Question 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}

View Question 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

View Question ## 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

View Question 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

View Question Choose the correct statement :

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

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

View Question 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 :

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

View Question 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

View Question 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,

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

View Question