JEE Advanced 2014 Paper 1 Offline

Paper was held on
Sat, May 24, 2014 9:00 PM

## Chemistry

If the value of Avogadro number is 6.023 $$\times$$ 1023 mol-1 and the value of Boltzmann constant is 1.380 $$\times$$ 1

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In an atom, the total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = –1/2 is

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A list of species having the formula XZ4 is given below.
XeF4, SF4 ,SiF4, $$BF_4^-$$, $$BrF_4^-$$, [Cu(NH)3]2+, [FeCl4]2

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MX2 dissociates in M2+ and X- ions in an aqueous solution, with a degree of dissociation ($$\alpha$$) of 0.5. The
ratio

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A compound H2X with molar weight of 80g is dissolved in a solvent having density of 0.4 gml–1 . Assuming no change in vo

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In a galvanic cell, the salt bridge

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Upon heating with Cu2S, the reagent(s) that give copper metal is/are

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For the reaction,$${I^ - } + ClO_3^ - + {H_2}S{O_4} \to C{l^ - } + HSO_4^ - + {I_2}$$the correct statement(s) in the b

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The pair(s) of reagents that yield paramagnetic species is/are

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In the reaction shown below, the major product(s) formed is/are

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Hydrogen bonding plays a central role in the following phenomena

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The reactivity of compound Z with different halogens under appropriate conditions is given belowThe observed pattern of

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The correct combination of names for isomeric alcohols with molecular formula C4H10O is/are

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An ideal gas in thermally insulated vessel at internal pressure = p1, volume = V1 and absolute temperature = T1 expands

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The correct statement(s) for orthoboric acid is/are

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The total number of distinct naturally occurring amino acids obtained by complete acidic hydrolysis of the peptide shown

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Consider the following list of reagents, acidified K2Cr2O7, alkaline KMnO4, CuSO4, H2O2, Cl2, O3, FeCl3, HNO3 and Na2S2O

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The total number(s) of stable conformers with non-zero dipole moment for the following compound is(are)

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Among PbS, CuS, HgS, MnS, Ag2S, NiS, CoS, Bi2S3 nd SnS2 the total number of black coloured sulphides is

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Consider all possible isomeric ketones including stereoisomers of MW = 100. All these isomers are independently reacted

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## Mathematics

Let $${n_1}\, < {n_2}\, < \,{n_3}\, < \,{n_4}\, < {n_5}$$ be positive integers such that $${n_1}\, + {n_2}\,

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Let $${n \ge 2}$$ be an integer. Take n distinct points on a circle and join each pair of points by a line segment. Colo

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Let a, b, c be positive integers such that $${b \over a}$$ is an integer. If a, b, c are in geometric progression and th

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For a point $$P$$ in the plane, Let $${d_1}\left( P \right)$$ and $${d_2}\left( P \right)$$ be the distance of the point

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A circle S passes through the point (0, 1) and is orthogonal to the circles $${(x - 1)^2}\, + \,{y^2} = 16\,\,and\,\,{x^

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Let $$f:\left( {0,\infty } \right) \to R$$ be given by $$f\left( x \right) = \int\limits_{{1 \over x}}^x {{e^{ - \left(

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The slope of the tangent to the curve $${\left( {y - {x^5}} \right)^2} = x{\left( {1 + {x^2}} \right)^2}$$ at the point

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The value of $$\int\limits_0^1 {4{x^3}\left\{ {{{{d^2}} \over {d{x^2}}}{{\left( {1 - {x^2}} \right)}^5}} \right\}dx} $$

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From a point $$P\left( {\lambda ,\lambda ,\lambda } \right),$$ perpendicular $$PQ$$ and $$PR$$ are drawn respectively on

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Let $$\overrightarrow x ,\overrightarrow y $$ and $$\overrightarrow z $$ be three vectors each of magnitude $$\sqrt 2 $$

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Let $$\overrightarrow a \,\,,\,\,\overrightarrow b $$ and $$\overrightarrow c $$ be three non-coplanar unit vectors such

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Let $$f:(a,b) \to [1,\infty )$$ be a continuous function and g : R $$\to$$ R be defined as $$g(x) = \left\{ {\matrix{

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For every pair of continuous function f, g : [0, 1] $$\to$$ R such that max {f(x) : x $$\in$$ [0, 1]} = max {g(x) : x $$

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Let M be a 2 $$\times$$ 2 symmetric matrix with integer entries. Then, M is invertible, if

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Let M and N be two 3 $$\times$$ 3 matrices such that MN = NM. Further, if M $$\ne$$ N2 and M2 = N4, then

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Let $$f:\left( { - {\pi \over 2},{\pi \over 2}} \right) \to R$$ be given by $$f(x) = {[\log (\sec x + \tan x)]^3}$$. T

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Let a $$\in$$ R and f : R $$\to$$ R be given by f(x) = x5 $$-$$ 5x + a. Then,

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Let f : [0, 4$$\pi$$] $$\to$$ [0, $$\pi$$] be defined by f(x) = cos$$-$$1 (cos x). The number of points x $$\in$$ [0, 4$

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The largest value of the non-negative integer a for which $$\mathop {\lim }\limits_{x \to 1} {\left\{ {{{ - ax + \sin (x

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Let f : R $$\to$$ R and g : R $$\to$$ R be respectively given by f(x) = | x | + 1 and g(x) = x2 + 1. Define h : R $$\to$

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## Physics

To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses
dimensional

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During Searle's experiment, zero of the Vernier scale lies between 3.20 $$ \times $$ 10-2 m and 3.25 $$ \times $$ 10-2 m

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Airplanes A and B are flying with constant velocity in the same vertical plane at angles $$30^\circ $$ and $$60^\circ $$

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A rocket is moving in a gravity free space with a constant
acceleration of 2 ms–2 along + x direction (see figure). The

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Consider an elliptically shaped rail PQ in the vertical plane with
OP = 3 m and OQ = 4 m. A block of mass 1 kg is pulled

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Let $${E_1}\left( r \right),{E_2}\left( r \right)$$ and $${E_3}\left( r \right)$$ be the respective electric field at a

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A parallel plate capacitor has a dielectric slab of dielectric constant $$K$$ between its plates that covers $$1/3$$ of

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At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t)

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A light source, width emits two wavelengths $$\lambda$$1 = 400 nm and $$\lambda$$2 = 600 nm, is used in a Young's double

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One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 m

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A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s$$-$$1. He is told th

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Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature o

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In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle $$\theta$

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A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of

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Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The curre

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A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three

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Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wi

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A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 $$\Omega$$ resistance, it ca

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A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring t

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A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two d

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