JEE Advanced 2017 Paper 2 Offline

Paper was held on
Sun, May 21, 2017 2:00 AM

## Chemistry

For the following cell,
$$Zn\left( s \right)\left| {ZnS{O_4}\left( {aq} \right)} \right|\left| {CuS{O_4}\left( {aq} \rig

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Pure water freezes at $$273$$ $$K$$ and $$1$$ bar. The addition of $$34.5$$ $$g$$ of ethanol to $$500$$ $$g$$ of water c

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The standard state Gibbs free energies of formation of $$C$$(graphite) and $$C$$(diamond) at $$T=298$$ $$K$$ are
$${\Del

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The order of the oxidation state of the phosphorous atom in
$${H_3}P{O_2},{H_3}P{O_4},{H_3}P{O_3}$$ and $${H_4}{P_2}{O_

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Which of the following combination will produce $${H_2}$$ gas ?

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For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equili

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The correct statement(s) about surface properties is (are)

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In a bimolecular reaction, the steric factor $$P$$ was experimentally determined to be $$4.5.$$ The correct option(s) am

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Among the following, the correct statement(s) is (are)

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The options(s) with only amphoteric oxides is (are)

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Compounds $$P$$ and $$R$$ upon ozonolysis produce $$Q$$ and $$S,$$ respectively. The molecular formula of $$Q$$ and $$S$

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$$W$$ and $$X$$ are, respectively

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The reactions, $$Q$$ to $$R$$ and $$R$$ to $$S,$$ are

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The major product of the following reaction is

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For the following compounds, the correct statement(s) with respect to nucleophilic substitution reaction is (are)

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$$Y$$ and $$Z$$ are, respectively

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The order of basicity among the following compounds is

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The product $$S$$ is

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## Mathematics

If f : R $$ \to $$ R is a twice differentiable function such that f"(x) > 0 for all x$$ \in $$R, and $$f\left( {{1 \o

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If y = y(x) satisfies the differential equation$${8\sqrt x \left( {\sqrt {9 + \sqrt x } } \right)dy = {{\left( {\sqrt {4

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How many 3 $$ \times $$ 3 matrices M with entries from {0, 1, 2} are there, for which the sum of the diagonal entries of

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Three randomly chosen nonnegative integers x, y and z are found to satisfy the equation x + y + z = 10. Then the probabi

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Let S = {1, 2, 3, .........., 9}. For k = 1, 2, .........., 5, let Nk be the number of subsets of S, each containing fiv

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Let O be the origin and let PQR be an arbitrary triangle. The point S is such that$$\overrightarrow{OP}$$ . $$\overright

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The equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y $$-$$ 2z = 5 and 3x

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f : R $$ \to $$ R is a differentiable function such that f'(x) > 2f(x) for all x$$ \in $$R, and f(0) = 1 then

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If $$I = \sum\nolimits_{k = 1}^{98} {\int_k^{k + 1} {{{k + 1} \over {x(x + 1)}}} dx} $$, then

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If the line x = $$\alpha $$ divides the area of region R = {(x, y) $$ \in $$R2 : x3 $$ \le $$ y $$ \le $$ x, 0 $$ \le $$

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Let $$\alpha $$ and $$\beta $$ be non zero real numbers such that $$2(\cos \beta - \cos \alpha ) + \cos \alpha \cos \be

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Let $$f(x) = {{1 - x(1 + |1 - x|)} \over {|1 - x|}}\cos \left( {{1 \over {1 - x}}} \right)$$for x $$ \ne $$ 1. Then

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If $$g(x) = \int_{\sin x}^{\sin (2x)} {{{\sin }^{ - 1}}} (t)\,dt$$, then

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If $$f(x) = \left| {\matrix{
{\cos 2x} & {\cos 2x} & {\sin 2x} \cr
{ - \cos x} & {\cos x} & { -

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If the triangle PQR varies, then the minimum value of cos(P + Q) + cos(Q + R) + cos(R + P) is

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|$$\overrightarrow{OX}$$ $$ \times $$ $$\overrightarrow{OY}$$| = ?

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a12 = ?

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If a4 = 28, then p + 2q =

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## Physics

Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the

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Consider regular polygons with number of sides $$n=3,4,5....$$ as shown in the figure. The center of mass of all the pol

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A photoelectric material having work-function $${\phi _0}$$ is illuminated with light of wavelength $$\lambda \left( {\l

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A symmetric star shaped conducting wire loop is carrying a steady state current $${\rm I}$$ as shown in the figure. The

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Three vectors $$\overrightarrow P ,\overrightarrow Q $$ and $$\overrightarrow R $$ are shown in the figure. Let $$S$$ b

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A rocket is launched normal to the surface of the Earth, away from the sun, along the line joining the Sun and the Earth

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A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of

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A uniform magnetic field $$B$$ exist in the region between $$x=0$$ and $$x = {{3R} \over 2}$$ (region $$2$$ in the figur

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The instantaneous voltages at three terminals marked $$X,Y$$ and $$Z$$ are given by
$${V_x} = {V_0}\,\sin \,\omega t,$

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Two coherent monochromatic point sources $${S_1}$$ and $${S_2}$$ of wavelength $$\lambda = 600\,nm$$ are placed symmetr

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A point charge $$+Q$$ is placed just outside an imaginary hemispherical surface of radius $$R$$ as shown in the figure.

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A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown in the figure. A constant fo

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A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figur

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A source of constant voltage V is connected to a resistance R and two ideal inductors L1 and L2 through a switch S as sh

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In Process 1, the energy stored in the capacitor EC and heat dissipated across resistance ED are related by

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In Process 2, total energy dissipated across the resistance ED is

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The total kinetic energy of the ring is

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The minimum value of $$\omega$$0 below which the ring will drop down is

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