JEE Advanced 2016 Paper 2 Offline

Paper was held on
Sun, May 22, 2016 2:00 AM

## Chemistry

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

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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

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Thermal decomposition of gaseous X2 to gaseous X at 298 K takes place according to the following equations:
X2

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

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

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For the following electrochemical cell at 298 K
Pt(s) | H2 (g, 1 bar) | H+ (aq, 1 M) || M4+ (aq), M2+ (aq) | Pt (s)
Ece

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Extraction of copper from copper pyrite (CuFeS2) involves

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The correct order of acidity for the following compounds is

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The major product of the following reaction sequence is:

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In the following reaction, sequence in aqueous solution, the species X, Y and Z, respectively, are
$${S_2}O_3^{2 - }\bui

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The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of thr

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For "invert sugar", the correct statement(s) is(are)
(Given : specific rotations of (+)-sucrose, (+)-maltose, L-($$-$$)-

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

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

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

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The compound R is

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The compound T is

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## Mathematics

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

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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 \n

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Let $$P$$ be the point on the parabola $${y^2} = 4x$$ which is at the shortest distance from the center $$S$$ of the cir

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Let $${F_1}\left( {{x_1},0} \right)$$ and $${F_2}\left( {{x_2},0} \right)$$ for $${{x_1} < 0}$$ and $${{x_2} > 0}$

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Let $${F_1}\left( {{x_1},0} \right)$$ and $${F_2}\left( {{x_2},0} \right)$$ for $${{x_1} < 0}$$ and $${{x_2} > 0}$

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Let f: R $$ \to \left( {0,\infty } \right)$$ and g : R $$ \to $$ R be twice differentiable functions such that f'' and g

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

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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}

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Let $$f\left( x \right) = \mathop {\lim }\limits_{n \to \infty } {\left( {{{{n^n}\left( {x + n} \right)\left( {x + {n \o

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Football teams $${T_1}$$ and $${T_2}$$ have to play two games against each other. It is assumed that the outcomes of the

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Football teams $${T_1}$$ and $${T_2}$$ have to play two games against each other. It is assumed that the outcomes of the

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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 pa

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Let $$\widehat u = {u_1} \widehat i + {u_2}\widehat j + {u_3}\widehat k$$ be a unit vector in $${{R^3}}$$ and $$\widehat

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Let $$P = \left[ {\matrix{
1 & 0 & 0 \cr
4 & 1 & 0 \cr
{16} & 4 & 1 \cr
} } \right]$$ and I be the iden

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Let bi > 1 for I = 1, 2, ......, 101. Suppose logeb1, logeb2, ......., logeb101 are in Arithmetic Progression (A.P.) wit

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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

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Let a, $$\lambda$$, m $$\in$$ R. Consider the system of linear equations
ax + 2y = $$\lambda$$
3x $$-$$ 2y = $$\mu$$
Whi

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Let $$f:\left[ { - {1 \over 2},2} \right] \to R$$ and $$g:\left[ { - {1 \over 2},2} \right] \to R$$ be function defined

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## Physics

There are two Vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale.
The Vernier sc

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In an experiment to determine the acceleration due to gravity g, the formula used for the time period of a
periodic moti

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Two thin circular discs of mass m and 4m, having radii of a and 2a, respectively, are rigidly fixed by a
massless, rigid

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A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at
pressure Pi = 105

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The ends Q and R of two thin wires, PQ and RS, are soldered (joined) together. Initially each of the wires
has a length

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A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without fricti

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An accident in a nuclear laboratory resulted in deposition of a certain amount of radioactive material of half-life 18 d

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The electrostatic energy of Z protons uniformly distributed throughout a spherical nucleus of radius R is given by $$E =

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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 rad

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Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the ga

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A rigid wire loop of square shape having side of length L and resistance R is moving along the X-axis with a constant ve

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While conducting the Young's double slit experiment, a student replaced the two slits with a large opaque plate in the X

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

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Light of wavelength $$\lambda$$ph falls on a cathode plate inside a vacuum tube as shown in the figure. The work functio

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A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial fra

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A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial fra

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Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curve

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Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curve

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