JEE Advanced 2017 Paper 2 Offline

The reactions, \(Q\) to \(R\) and \(R\) to \(S,\) are

The product \(S\) is

Compounds \(P\) and \(R\) upon ozonolysis produce \(Q\) and \(S,\) respectively. The molecular formula of \(Q\) and \(S\) is \({C_8}{H_8}O.Q\) undergoes Canninzzaro reaction but not haloform reaction, whereas \(S\) undergoes haloform react...

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

In a bimolecular reaction, the steric factor \(P\) was experimentally determined to be \(4.5.\) The correct option(s) among the following is (are)

The major product of the following reaction is

The order of basicity among the following compounds is

Which of the following combination will produce \({H_2}\) gas ?

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

For the following cell,
\(Zn\left( s \right)\left| {ZnS{O_4}\left( {aq} \right)} \right|\left| {CuS{O_4}\left( {aq} \right)} \right|Cu\left( s \right)\)
when the concentration of \(Z{n^{2 + }}\) is \(10\) times the concentration of $$C{u^{2...

\(Y\) and \(Z\) are, respectively

\(W\) and \(X\) are, respectively

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

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 \({H_4}{P_2}{O_6}\) is

Pure water freezes at \(273\) \(K\) and \(1\) bar. The addition of \(34.5\) \(g\) of ethanol to \(500\) \(g\) of water changes the freezing point of the solution. Use the freezing point depression constant of water as \(2\) kg $$mo{l^{ - 1}...

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

The standard state Gibbs free energies of formation of \(C\)(graphite) and \(C\)(diamond) at \(T=298\) \(K\) are
\({\Delta _f}{G^0}\) [\(C\)(graphite)] \(= 0kJmo{l^{ - 1}}\)
\({\Delta _f}{G^0}\) [\(C\)(diamond)] \(= 2.9kJmo{l^{ - 1}}\)
...

For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium constant \(K\) in terms of change in entropy is described by

The equation of the plane passing through the point (1, 1, 1) and perpendicular to the planes 2x + y \(-\) 2z = 5 and 3x \(-\) 6y \(-\) 2z = 7 is

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

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

If the line x = \(\alpha\) divides the area of region R = {(x, y) \(\in\)R2 : x3 \(\le\) y \(\le\) x, 0 \(\le\) x \(\le\) 1} into two equal parts, then

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

If y = y(x) satisfies the differential equation\({8\sqrt x \left( {\sqrt {9 + \sqrt x } } \right)dy = {{\left( {\sqrt {4 + \sqrt {9 + \sqrt x } } } \right)}^{ - 1}}}\)dx, x > 0 and y(0) = \(\sqrt 7\), then y(256) =

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

Let S = {1, 2, 3, .........., 9}. For k = 1, 2, .........., 5, let Nk be the number of subsets of S, each containing five elements out of which exactly k are odd. Then N1 + N2 + N3 + N4 + N5 =

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

If f : R \(\to\) R is a twice differentiable function such that f"(x) > 0 for all x\(\in\)R, and \(f\left( {{1 \over 2}} \right) = {1 \over 2}\), f(1) = 1, then

How many 3 \(\times\) 3 matrices M with entries from {0, 1, 2} are there, for which the sum of the diagonal entries of MTM is 5?

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

a12 = ?

If a4 = 28, then p + 2q =

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

Let \(\alpha\) and \(\beta\) be non zero real numbers such that \(2(\cos \beta - \cos \alpha ) + \cos \alpha \cos \beta = 1\). Then which of the following is/are true?

|\(\overrightarrow{OX}\) \(\times\) \(\overrightarrow{OY}\)| = ?

Let O be the origin and let PQR be an arbitrary triangle. The point S is such that\(\overrightarrow{OP}\) . \(\overrightarrow{OQ}\) + \(\overrightarrow{OR}\) . \(\overrightarrow{OS}\) = \(\overrightarrow{OR}\) . \(\overrightarrow{OP}\) + $$...

The instantaneous voltages at three terminals marked \(X,Y\) and \(Z\) are given by
\({V_x} = {V_0}\,\sin \,\omega t,\)
\({V_Y} = {V_0}\,\sin\) \(\left( {\omega t + {{2\pi } \over 3}} \right)\)
and $$Vz = {V_0}\sin \left( {\omega t + ...

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

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

A photoelectric material having work-function \({\phi _0}\) is illuminated with light of wavelength \(\lambda \left( {\lambda < {{he} \over {{\phi _0}}}} \right).\) The fastest photoelectron has a de-Broglic wavelength \({\lambda _d}.\) A ...

A source of constant voltage V is connected to a resistance R and two ideal inductors L1 and L2 through a switch S as shown. There is no mutual inductance between the two inductors. The switch S is initially open. At t = 0, the switch is cl...

A point charge \(+Q\) is placed just outside an imaginary hemispherical surface of radius \(R\) as shown in the figure. Which of the following statements is/are correct?

A rocket is launched normal to the surface of the Earth, away from the sun, along the line joining the Sun and the Earth. The Sun is \(3 \times 10{}^5\) times heavier than the earth and is at a distance \(2.5 \times {10^4}\) times larger t...

A symmetric star shaped conducting wire loop is carrying a steady state current \({\rm I}\) as shown in the figure. The distance between the diametrically opposite vertices of the star is \(4a.\) The magnitude of the magnetic field at the c...

A uniform magnetic field \(B\) exist in the region between \(x=0\) and \(x = {{3R} \over 2}\) (region \(2\) in the figure) pointing normally into the plane of the paper. A particle with charge \(+Q\) and momentum \(p\) directed along \(x\)-...

Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density \(\rho\) remains uniform throughout the volume. The rate of fractional change in density $$\left...

Three vectors \(\overrightarrow P ,\overrightarrow Q\) and \(\overrightarrow R\) are shown in the figure. Let \(S\) be any point on the vector \(\overrightarrow R .\) The distance between the points \(P\) and \(S\) is $$b\left| {\overrig...

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 force is continuously applied on the surface of the wheel so that it just climbs the step without slipping. Consider the t...

A rigid uniform bar AB of length L is slipping from its vertical position on a frictionless floor (as shown in the figure). At some instant of time, the angle made by the bar with the vertical is \(\theta\). Which of the following statement...

The total kinetic energy of the ring is