JEE Advanced 2015 Paper 1 Offline

Paper was held on
Sat, May 23, 2015 9:00 PM

## Chemistry

Not considering the electronic spin, the degeneracy of the second excited state( n = 3) of H atom is 9, while
the degene

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Among the triatomic molecules/ions, BeCl2, $$N_3^-$$, N2O, $$NO_2^+$$, O3, SCl2, $$ICl_2^-$$, $$I_3^-$$ and XeF2, the to

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Match the thermodynamics processes given under column I with expression given under column II
Column I
(A) Freezing wate

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If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occ

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If the freezing point of a 0.01 molal aqueous solution of a cobalt (III) chloride-ammonia complex(which
behaves as a str

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All the energy released from the reaction $$X \to Y, \Delta _tG^o $$ = -193 kJ mol-1 is used for oxidizing M+ as M+ $$\

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Copper is purified by electrolytic refining of blister copper. The correct statement(s) about this process
is(are)

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Match the anionic species given in Column-I that are present in the ore(s) given in Column-II
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The total number of stereoisomers that can exist for M is ___________.

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The number of resonance structure for N is _________.

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The number of lone pairs of electrons in N2O3 is ___________.

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For the octahedral complexes of Fe3+ in SCN$$-$$ (thiocyana-to-S) and in CN$$-$$ ligand environments, the difference bet

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Compound(s) that on hydrogenation produce(s) optically inactive compound(s) is(are)

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The major product of the following reaction is

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In the following reaction, the major product is

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The structure of D-(+)-glucose is
The structure of L-($$-$$)-glucose is

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The major product of the reaction is

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The correct statements about Cr2+ and Mn3+ is(are) (Atomic numbers of Cr = 24 and Mn = 25)

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Fe3+ is reduced to Fe2+ by using

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The % yield of ammonia as a function of time in the reaction
N2(g) + 3H2(g) $$\rightleftharpoons$$ 2NH3(g), $$\Delta$$H

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## Mathematics

The number of distinct solutions of the equation
$${5 \over 4}{\cos ^2}\,2x + {\cos ^4}\,x + {\sin ^4}\,x + {\cos ^6}\,

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Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand cons

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Let $$P$$ and $$Q$$ be distinct points on the parabola $${y^2} = 2x$$ such that a circle with $$PQ$$ as diameter passes

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If the normals of the parabola $${y^2} = 4x$$ drawn at the end points of its latus rectum are tangents to the circle $${

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Let the curve $$C$$ be the mirror image of the parabola $${y^2} = 4x$$ with respect to the line $$x+y+4=0$$. If $$A$$ an

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A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner v

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Let $$y(x)$$ be a solution of the differential equation $$\left( {1 + {e^x}} \right)y' + y{e^x} = 1.$$
If $$y(0)=2$$, t

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Consider the family of all circles whose centres lie on the straight line $$y=x,$$ If this family of circle is represent

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Let $$f:R \to R$$ be a function defined by $$f\left( x \right) = \left\{ {\matrix{
{\left[ x \right],} & {x \le 2

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Let $$F\left( x \right) = \int\limits_x^{{x^2} + {\pi \over 6}} {2{{\cos }^2}t\left( {dt} \right)} $$ for all $$x \in R

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The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at

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In $${R^3},$$ consider the planes $$\,{P_1}:y = 0$$ and $${P_2}:x + z = 1.$$ Let $${P_3}$$ be the plane, different from

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In $${R^3},$$ let $$L$$ be a straight lines passing through the origin. Suppose that all the points on $$L$$ are at a c

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Let $$\Delta PQR$$ be a triangle. Let $$\vec a = \overrightarrow {QR} ,\vec b = \overrightarrow {RP} $$ and $$\overright

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Match the following :
$$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,$$ Column $$I$$
(A)$$\,\,\,\,$$ In $${R^2},$$ If the magnit

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Match the following :
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Let X and Y be two arbitrary, 3 $$\times$$ 3, non-zero, skew-symmetric matrices and Z be an arbitrary 3 $$\times$$ 3, no

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Which of the following values of $$\alpha$$ satisfy the equation
$$\left| {\matrix{
{{{(1 - \alpha )}^2}} & {{{(1 + 2

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Let $$g:R \to R$$ be a differentiable function with $$g(0) = 0$$, $$g'(0) = 0$$ and $$g'(1) \ne 0$$. Let
$$f(x) = \left\

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Let $$f(x) = \sin \left( {{\pi \over 6}\sin \left( {{\pi \over 2}\sin x} \right)} \right)$$ for all $$x \in R$$ and g(

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## Physics

Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a
unit of mas

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Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a
screw gauge wi

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A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches
its maximum

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A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium
at temperature T

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Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits
104 times the p

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The figures below depict two situations in which two infinitely long static line charges of constant positive line charg

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A Young's double slit interference arrangement with slits S1 and S2 is immersed in water (refractive index = 4/3) as sho

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Consider a concave mirror and a convex lens (refractive index = 1.5) of focal length 10 cm each, separated by a distance

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An infinitely long uniform line charge distribution of charge per unit length $$\lambda$$ lies parallel to the y-axis in

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Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation of wavelength 90 nm is used

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Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C w

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A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fu

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A ring of mass M and radius R is rotating with angular speed $$\omega$$ about a fixed vertical axis passing through its

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Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are p

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A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If

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In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the

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For photo-electric effect with incident photon wavelength $$\lambda$$, the stopping potential is V0. Identify the correc

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Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies $$\omega$

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Match the nuclear processes given in Column I with the
appropriate option(s) in Column II:

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A particle of unit mass is moving along the x-axis under the
influence of a force and its total energy is conserved. Fou

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