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

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

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

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

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

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

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

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

View Question The number of resonance structure for N is _________.

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

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

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

View Question The major product of the following reaction is

View Question In the following reaction, the major product is

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

View Question The major product of the reaction is

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

View Question Fe3+ is reduced to Fe2+ by using

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

View Question ## Mathematics

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

View Question 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

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

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

View Question 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

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

View Question 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

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

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

View Question 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

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

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

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

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

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

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

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

View Question 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\

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

View Question ## 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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question