JEE Advanced 2013 Paper 2 Offline

Paper was held on
Sun, Jun 2, 2013 2:00 AM

## Chemistry

The Ksp of Ag2CrO4 is 1.1 $$\times$$ 10-12 at 298 K. The solubility (in mol/L) of Ag2CrO4 in a 0.1 M AgNO3 solution is

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The thermal dissociation equilibrium of CaCO3(s) is studied under different conditions
CaCO3(s) $$\leftrightharpoons$$ C

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The standard reduction potential data at 25oC is given below:
Eo (Fe3+ , Fe2+) = +0.77V;
Eo (Fe2+ , Fe) = -0.44V;
Eo (

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An aqueous solution of X is added slowly to an aqueous solution of Y as shown in List – I. The variation in
conductivity

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In the nuclear transmutation
9Be4 + X $$\to$$ 8Be4 + Y
(X, Y) is (are)

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The carbon–based reduction method is NOT used for the extraction of

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In the following reaction, the product/products formed is/are

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The major product(s) of the following reaction is(are)

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After completion of the reactions (I and II), the organic compound(s) in the reaction mixtures is(are)

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The correct statement(s) about O3 is(are)

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The precipitate P contains

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The coloured solution S contains

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Compounds formed from P and Q are, respectively,

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In the following reaction sequences V and W are, respectively,

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The succeeding operations that enable this transformation of states are

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The pair of isochoric processes among the transformation of states is

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P and Q, respectively, are the sodium salts of

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R, S and T respectively, are

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The unbalanced chemical reactions given in List I show missing reagent or condition (?) which are provided in List II. M

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Match the chemical conversations in List I with the appropriate reagents in List II and select the correct answer using

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## Mathematics

Let $$w = {{\sqrt 3 + i} \over 2}$$ and P = { $${w^n}$$ : n = 1, 2, 3, ...}. Further
and , where is the set of all com

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Let $$S = {S_1} \cap {S_2} \cap {S_3}$$, where $${S_1} = \left\{ {z \in C:\left| z \right| < 4} \right\},{S_2} = \lef

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Let $$S = {S_1} \cap {S_2} \cap {S_3}$$, where $${S_1} = \left\{ {z \in C:\left| z \right| < 4} \right\},{S_2} = \lef

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If $${3^x}\, = \,{4^{x - 1}},$$ then $$x\, = $$

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Circle (s) touching x-axis at a distance 3 from the origin and having an intercept of length $$2\sqrt 7 $$ on y-axis is

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A line $$L:y=mx+3$$ meets $$y$$-axis at R$$(0, 3)$$ and the arc of the parabola $${y^2} = 16x,$$ $$0 \le y \le 6$$ at th

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Let $$PQ$$ be a focal chord of the parabola $${y^2} = 4ax$$. The tangents to the parabola at $$P$$ and $$Q$$ meet at a p

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Let $$PQ$$ be a focal chord of the parabola $${y^2} = 4ax$$. The tangents to the parabola at $$P$$ and $$Q$$ meet at a p

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In a triangle $$PQR$$, $$P$$ is the largest angle and $$\cos P = {1 \over 3}$$. Further the incircle of the triangle tou

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Match List $$I$$ with List $$II$$ and select the correct answer using the code given below the lists:
List $$I$$
$$P.$$

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Let $$f:\left[ {0,1} \right] \to R$$ (the set of all real numbers) be a function. Suppose the function $$f$$ is twice di

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Let $$f:\left[ {0,1} \right] \to R$$ (the set of all real numbers) be a function. Suppose the function $$f$$ is twice di

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A box $${B_1}$$ contains $$1$$ white ball, $$3$$ red balls and $$2$$ black balls. Another box $${B_2}$$ contains $$2$$ w

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A box $${B_1}$$ contains $$1$$ white ball, $$3$$ red balls and $$2$$ black balls. Another box $${B_2}$$ contains $$2$$ w

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Two lines $${L_1}:x = 5,{y \over {3 - \alpha }} = {z \over { - 2}}$$ and $${L_2}:x = \alpha ,{y \over { - 1}} = {z \over

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match List $$I$$ with List $$II$$ and select the correct answer using the code given below the lists:
$$\,\,\,\,$$ $$\

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Consider the lines $${L_1}:{{x - 1} \over 2} = {y \over { - 1}} = {{z + 3} \over 1},{L_2} : {{x - 4} \over 1} = {{y + 3}

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$$a \in R$$ (the set of all real numbers), a $$\ne$$ $$-$$1, $$\mathop {\lim }\limits_{n \to \infty } {{({1^a} + {2^a} +

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Let $$\omega$$ be a complex cube root of unity with $$\omega$$ $$\ne$$ 1 and P = [pij] be a n $$\times$$ n matrix with p

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The function $$f(x) = 2\left| x \right| + \left| {x + 2} \right| - \left| {\left| {x + 2} \right| - 2\left| x \right|} \

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## Physics

Using the expression $$2d\sin \theta = \lambda $$, one calculates the values of d by measuring the corresponding angles

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Match List I with List II and select the correct answer using the codes given below the lists:
List I
P. Boltzmann Const

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The speed of the block when it reaches the point Q is

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The magnitude of the normal reaction that acts on the block at the point Q is

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A particle of mass m is attached to one end of a mass-less spring of force constant k, lying on a frictionless horizonta

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Two bodies, each of mass M, are kept fixed with a separation $$2L$$. A particle of mass m is projected from
the midpoint

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Two non-conducting spheres of radii $${R_1}$$ and $${R_2}$$ and carrying uniform volume charge densities $$ + \rho $$ an

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A steady current I flows along an infinitely long hollow cylindrical conductor of radius R. This cylinder is placed coax

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Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows alon

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The figure below shows the variation of specific heat capacity (C) of a solid as a function of temperature (T). The temp

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The radius of the orbit of an electron in a hydrogen-like atom is 4.5a0, where a0 is the Bohr radius. Its orbital angula

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If the direct transmission method with a cable of resistance 0.4 $$\Omega$$ km$$-$$1 is used, the power dissipation (in

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In the method using the transformers, assume that the ratio of the number of turns in the primary to that in the seconda

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The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic

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The change in the magnetic dipole moment associated with the orbit, at the end of the time interval of the magnetic fiel

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The correct statement is

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The kinetic energy (in keV) of the alpha particle, when the nucleus $$_{84}^{210}Po$$ at rest undergoes alpha decay, is

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A right-angled prism of refractive index $$\mu$$1 is placed in a rectangular block of refractive index $$\mu$$2, which i

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One mole of a monatomic ideal gas is taken along two cyclic processes E $$\to$$ F $$\to$$ G $$\to$$ E and E $$\to$$ F $$

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Match List I of the nuclear processes with List II containing parent nucleus and one of the end products of each process

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