JEE Advanced 2016 Paper 2 Offline

The correct order of acidity for the following compounds is

The major product of the following reaction sequence is:

Reagent(s) which can be used to bring about the following transformation is(are)

For "invert sugar", the correct statement(s) is(are)
(Given : specific rotations of (+)-sucrose, (+)-maltose, L-(\(-\))-glucose and L-(+)-fructose in aqueous solution are +66\(^\circ\), +140\(^\circ\), \(-\)52\(^\circ\) and +92\(^\circ\), r...

According to Molecular Orbital Theory, which of the following statements is(are) correct?

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Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2 (g) \(\leftrightharpoons\) 2X (g)
The standard reaction Gibbs energy, \(\Delta _rG^o\), of this reaction is positive. A...

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Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2 (g) \(\leftrightharpoons\) 2X (g)
The standard reaction Gibbs energy, \(\Delta _rG^o\), of this reaction is positive. A...

The compound R is

The compound T is

The geometries of the ammonia complexes of Ni2+, Pt2+ and Zn2+, respectively, are

In the following reaction, sequence in aqueous solution, the species X, Y and Z, respectively, are
$${S_2}O_3^{2 - }\buildrel {A{g^ + }} \over
\longrightarrow \mathop X\limits_{Clear\,solution} \buildrel {A{g^ + }} \over
\longrightarrow \...

For the following electrochemical cell at 298 K
Pt(s) | H2 (g, 1 bar) | H+ (aq, 1 M) || M4+ (aq), M2+ (aq) | Pt (s)
Ecell = 0.092 V when \({{\left[ {{M^{2 + }}(aq)} \right]} \over {\left[ {{M^{4 + }}(aq)} \right]}}\) = 10x
Give, $$E_{{M^{4...

Among the following reaction(s), which gives(give) tert-butyl benzene as the major product is(are)

Extraction of copper from copper pyrite (CuFeS2) involves

The nitrogen containing compound produced in the reaction of HNO3 with P4O10

The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is (are) :

The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of three different aqueous solutions of KCl, CH3OH and CH3(CH2)11 OSO\(_3^ -\) Na+ at room temperature. The correct assignmen...

Mixture (s) showing positive deviation from Raoult’s law at 35oC is (are)

Let \(P\) be the image of the point \((3,1,7)\) with respect to the plane \(x-y+z=3.\) Then the equation of the plane passing through \(P\) and containing the straight line \({x \over 1} = {y \over 2} = {z \over 1}\) is

Let f: R \(\to \left( {0,\infty } \right)\) and g : R \(\to\) R be twice differentiable functions such that f'' and g'' are continuous functions on R. Suppose f'\((2)\) \(=\) g\((2)=0\), f''\((2)\)\(\ne 0\) and g'\((2)\) \(\ne 0\). If ...

Area of the region \(\left\{ {\left( {x,y} \right) \in {R^2}:y \ge \sqrt {\left| {x + 3} \right|} ,5y \le x + 9 \le 15} \right\}\)
is equal to

Let \(a,\,b \in R\,and\,{a^{2\,}} + {b^2} \ne 0\). Suppose \(S = \left\{ {Z \in C:Z = {1 \over {a + ibt}}, + \in R,t \ne 0} \right\}\), where \(i = \sqrt { - 1}\). Ifz = x + iy and z \(\in\) S, then (x, y) lies on

Let $$f\left( x \right) = \mathop {\lim }\limits_{n \to \infty } {\left( {{{{n^n}\left( {x + n} \right)\left( {x + {n \over 2}} \right)...\left( {x + {n \over n}} \right)} \over {n!\left( {{x^2} + {n^2}} \right)\left( {{x^2} + {{{n^2}} \ove...

The value of \(\int\limits_{-{\pi \over 2}}^{{\pi \over 2}} {{{{x^2}\cos x} \over {1 + {e^x}}}dx}\) is equal to

Let \({F_1}\left( {{x_1},0} \right)\) and \({F_2}\left( {{x_2},0} \right)\) for \({{x_1} < 0}\) and \({{x_2} > 0}\), be the foci of the ellipse \({{{x^2}} \over 9} + {{{y^2}} \over 8} = 1\). Suppose a parabola having vertex at the origin an...

Let \({F_1}\left( {{x_1},0} \right)\) and \({F_2}\left( {{x_2},0} \right)\) for \({{x_1} < 0}\) and \({{x_2} > 0}\), be the foci of the ellipse \({{{x^2}} \over 9} + {{{y^2}} \over 8} = 1\). Suppose a parabola having vertex at the origin an...

Let a, b \(\in\) R and f : R \(\to\) R be defined by \(f(x) = a\cos (|{x^3} - x|) + b|x|\sin (|{x^3} + x|)\). Then f is

Let \(f:\left[ { - {1 \over 2},2} \right] \to R\) and \(g:\left[ { - {1 \over 2},2} \right] \to R\) be function defined by \(f(x) = [{x^2} - 3]\) and \(g(x) = |x|f(x) + |4x - 7|f(x)\), where [y] denotes the greatest integer less than or equ...

Let \(P = \left[ {\matrix{ 1 & 0 & 0 \cr 4 & 1 & 0 \cr {16} & 4 & 1 \cr } } \right]\) and I be the identity matrix of order 3. If \(Q = [{q_{ij}}]\) is a matrix such that \({P^{50}} - Q = I\) and $${{{q_{31}} + {q_{32}}} \o...

Let a, \(\lambda\), m \(\in\) R. Consider the system of linear equations
ax + 2y = \(\lambda\)
3x \(-\) 2y = \(\mu\)
Which of the following statements is(are) correct?

Let \(P\) be the point on the parabola \({y^2} = 4x\) which is at the shortest distance from the center \(S\) of the circle \({x^2} + {y^2} - 4x - 16y + 64 = 0\). Let \(Q\) be the point on the circle dividing the line segment \(SP\) interna...

Football teams \({T_1}\) and \({T_2}\) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of \({T_1}\) winning, drawing and losing a game against \({T_2}\) are $${1...

Football teams \({T_1}\) and \({T_2}\) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabilities of \({T_1}\) winning, drawing and losing a game against \({T_2}\) are $${1...

Let bi > 1 for I = 1, 2, ......, 101. Suppose logeb1, logeb2, ......., logeb101 are in Arithmetic Progression (A.P.) with the common difference loge2. Suppose a1, a2, ......, a101 are in A.P. such that a1 = b1 and a51 = b51. If t = b1 + b2 ...

The value of \(\sum\limits_{k = 1}^{13} {{1 \over {\sin \left( {{\pi \over 4} + {{\left( {k - 1} \right)\pi } \over 6}} \right)\sin \left( {{\pi \over 4} + {{k\pi } \over 6}} \right)}}}\) is equal to

Let \(\widehat u = {u_1} \widehat i + {u_2}\widehat j + {u_3}\widehat k\) be a unit vector in \({{R^3}}\) and \(\widehat w = {1 \over {\sqrt 6 }}\left( {\widehat i + \widehat j + 2\widehat k} \right).\) Given that there exists a vector $${...

An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 days inside the laboratory. Tests revealed that the radiation was 64 times more than the permissible level required for s...

The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by \(E = {3 \over 5}{{Z(Z - 1){e^2}} \over {4\pi {\varepsilon _0}R}}\)The measured masses of the neutron, \(_1^1H\), $$_7^{15}N$...

Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers Rc < R/2, which of the following statement(s) about anyone of the galvanometers is(are) true?

In the circuit shown below, the key is pressed at time t = 0. Which of the following statement(s) is (are) true?

Light of wavelength \(\lambda\)ph falls on a cathode plate inside a vacuum tube as shown in the figure. The work function of the cathode surface is \(\phi\) and the anode is a wire mesh of conducting material kept at a distance d from the c...

A rigid wire loop of square shape having side of length L and resistance R is moving along the X-axis with a constant velocity v0 in the plane of the paper. At t = 0, the right edge of the loop enters a region of length 3L where there is a ...

Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a...

Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a...

A small object is placed 50 cm to the left of a thin convex lens of focal length 30 cm. A convex spherical mirror of radius of curvature 100 cm is placed to the right of the lens at a distance of 50 cm. The mirror is tilted such that the ax...

The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires
has a length of 1 m at 10oC. Now the end P is maintained at 10oC, while the end S is heated and
maintained at 400oC. The system is th...

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at
pressure Pi = 105 Pa and volume Vi = 10-3 m3 changes to a final state at Pf = \(\left( {{1 \over {32}}} \right) \times {10^5}\,Pa\) and
V...

A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular veloci...

Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a
massless, rigid rod of length \(l = \sqrt {24} a\) through their centers. This assembly is laid on a firm and flat
surface, and set rol...

A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular veloci...