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JEE Advanced 2015 Paper 1 Offline

Exam Held on Sun May 24 2015 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Not considering the electronic spin, the degeneracy of the second excited state(...
Among the triatomic molecules/ions, BeCl<sub>2</sub>, $$N_3^-$$, N<sub>2</sub>O,...
Match the thermodynamics processes given under <b>column I</b> with expression g...
If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms...
If the freezing point of a 0.01 molal aqueous solution of a cobalt (III) chlorid...
All the energy released from the reaction <br>$$X \to Y, \Delta _tG^o $$ = -193 ...
Copper is purified by electrolytic refining of blister copper. The correct state...
Match the anionic species given in <b>Column-I</b> that are present in the ore(s...
<p>The total number of stereoisomers that can exist for M is ___________.</p> <p...
<p>The number of resonance structure for N is _________.</p> <p><img src="https:...
<p>The number of lone pairs of electrons in N<sub>2</sub>O<sub>3</sub> is ______...
<p>For the octahedral complexes of Fe<sup>3+</sup> in SCN<sup>$$-$$</sup> (thioc...
<p>Compound(s) that on hydrogenation produce(s) optically inactive compound(s) i...
<p>The major product of the following reaction is</p> <p><img src="https://app-c...
<p>In the following reaction, the major product is</p> <p><img src="https://app-...
<p>The structure of D-(+)-glucose is</p> <p><img src="https://app-content.cdn.ex...
<p>The major product of the reaction is</p> <p><img src="https://app-content.cdn...
<p>The correct statements about Cr<sup>2+</sup> and Mn<sup>3+</sup> is(are) (Ato...
<p>Fe<sup>3+</sup> is reduced to Fe<sup>2+</sup> by using</p>
<p>The % yield of ammonia as a function of time in the reaction</p> <p>N<sub>2</...

Mathematics

The number of distinct solutions of the equation $$${5 \over 4}{\cos ^2}\,2x + ...
Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in ...
Let $$P$$ and $$Q$$ be distinct points on the parabola $${y^2} = 2x$$ such that ...
If the normals of the parabola $${y^2} = 4x$$ drawn at the end points of its lat...
Let the curve $$C$$ be the mirror image of the parabola $${y^2} = 4x$$ with resp...
A cylindrical container is to be made from certain solid material with the follo...
Let $$y(x)$$ be a solution of the differential equation <br>$$\left( {1 + {e^x}}...
Consider the family of all circles whose centres lie on the straight line $$y=x,...
Let $$f:R \to R$$ be a function defined by <br>$$f\left( x \right) = \left\{ {\m...
Let $$F\left( x \right) = \int\limits_x^{{x^2} + {\pi \over 6}} {2{{\cos }^2}t\...
The minimum number of times a fair coin needs to be tossed, so that the probabil...
In $${R^3},$$ consider the planes $$\,{P_1}:y = 0$$ and $${P_2}:x + z = 1.$$ Let...
In $${R^3},$$ let $$L$$ be a straight lines passing through the origin. Suppose...
Let $$\Delta PQR$$ be a triangle. Let $$\vec a = \overrightarrow {QR} ,\vec b = ...
Match the following : <p>$$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,$$ <b>Column $$I$$...
Match the following : <p>$$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,$$ <b>Column $$I$$...
<p>Let X and Y be two arbitrary, 3 $$\times$$ 3, non-zero, skew-symmetric matric...
<p>Which of the following values of $$\alpha$$ satisfy the equation</p> <p>$$\le...
<p>Let $$g:R \to R$$ be a differentiable function with $$g(0) = 0$$, $$g'(0) = 0...
<p>Let $$f(x) = \sin \left( {{\pi \over 6}\sin \left( {{\pi \over 2}\sin x} \r...

Physics

Planck's constant h, speed of light c and gravitational constant G are used to f...
Consider a Vernier callipers in which each 1 cm on the main scale is divided int...
A bullet is fired vertically upwards with velocity v from the surface of a spher...
A container of fixed volume has a mixture of one mole of hydrogen and one mole o...
Two spherical stars A and B emit blackbody radiation. The radius of A is 400 tim...
The figures below depict two situations in which two infinitely long static line...
A Young's double slit interference arrangement with slits S<sub>1</sub> and S<su...
Consider a concave mirror and a convex lens (refractive index = 1.5) of focal le...
An infinitely long uniform line charge distribution of charge per unit length $$...
Consider a hydrogen atom with its electron in the nth orbital. An electromagneti...
Two identical uniform discs roll without slipping on two different surfaces AB a...
<p>A nuclear power plant supplying electrical power to a village uses a radioact...
A ring of mass M and radius R is rotating with angular speed $$\omega$$ about a ...
Two identical glass rods S<sub>1</sub> and S<sub>2</sub> (refractive index = 1.5...
A conductor (shown in the figure) carrying constant current I is kept in the x-y...
In an aluminium (Al) bar of square cross section, a square hole is drilled and ...
For photo-electric effect with incident photon wavelength $$\lambda$$, the stopp...
Two independent harmonic oscillators of equal masses are oscillating about the o...
<p>Match the nuclear processes given in Column I with the appropriate option(s) ...
<p>A particle of unit mass is moving along the x-axis under the influence of a f...

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