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JEE Main 2015 (Offline)

Exam Held on Sat Apr 04 2015 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Which of the following is the energy of a possible excited state of hydrogen?
The ionic radii (in Å) of N<sup>3–</sup>, O<sup>2–</sup> and F<sup>–</sup> are r...
The intermolecular interaction that is dependent on the inverse cube of distance...
The standard Gibbs energy change at 300 K for the reaction 2A $$\leftrightharpoo...
The following reaction is performed at 298 K<br> 2NO(g) + O<sub>2</sub> (g) $$\...
The molecular formula of a commercial resin used for exchanging ions in water so...
Which one of the following alkaline earth metal sulphates has its hydration enth...
From the following statements regarding H<sub>2</sub>O<sub>2</sub>, choose the i...
In Carius method of estimation of halogens, 250 mg of an organic compound gave 1...
Which of the following compounds will exhibit geometrical isomerism?
Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge ...
3 g of activated charcoal was added to 50 mL of acetic acid solution (0.06N) in ...
The vapour pressure of acetone at 20<sup>o</sup>C is 185 torr. When 1.2 g of a n...
Two Faraday of electricity is passed through a solution of CuSO<sub>4</sub>. The...
Higher order (&gt;3) reactions are rare due to
In the context of the Hall-Heroult process for the extraction of Al, which of th...
Which among the following is the most reactive?
Which one has the highest boiling point?
<b>Assertion :</b> Nitrogen and Oxygen are the main components in the atmosphere...
Which of the following compounds is not colored yellow?
The color of KMnO<sub>4</sub> is due to:
The number of geometric isomers that can exist for square planar [Pt (Cl) (py) (...
The synthesis of alkyl fluorides is best accomplished by:
In the following sequence of reactions:<br> <br><img class="question-image" src=...
Which of the following compounds is not an antacid?
Which polymer is used in the manufacture of paints and lacquers?
Which of the vitamins given below is water soluble?
Which compound would give $$5$$ - keto - $$2$$ - methylhexanal upon ozonolysis? ...
In the reaction <br><br><img class="question-image" src="https://imagex.cdn.exa...
Match the catalysts to the correct processes : <br><br><style type="text/css"> ....

Mathematics

A complex number z is said to be unimodular if $$\,\left| z \right| = 1$$. Suppo...
Let $$\alpha $$ and $$\beta $$ be the roots of equation $${x^2} - 6x - 2 = 0$$. ...
The number of integers greater than 6,000 that can be formed, using the digits 3...
The sum of coefficients of integral power of $$x$$ in the binomial expansion $${...
The sum of first 9 terms of the series. <br><br>$${{{1^3}} \over 1} + {{{1^3} +...
If m is the A.M. of two distinct real numbers l and n $$(l,n &gt; 1)$$ and $${G_...
The number of points, having both co-ordinates as integers, that lie in the inte...
Locus of the image of the point $$(2, 3)$$ in the line $$\left( {2x - 3y + 4} \r...
The number of common tangents to the circles $${x^2} + {y^2} - 4x - 6x - 12 = 0$...
The normal to the curve, $${x^2} + 2xy - 3{y^2} = 0$$, at $$(1,1)$$
Let $$O$$ be the vertex and $$Q$$ be any point on the parabola, $${{x^2} = 8y}$$...
The area (in sq. units) of the quadrilateral formed by the tangents at the end p...
If the angles of elevation of the top of a tower from three collinear points $$A...
Let $${\tan ^{ - 1}}y = {\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{{2x} \over {1 -...
Let $$f(x)$$ be a polynomial of degree four having extreme values <br>at $$x=1$...
The set of all values of $$\lambda $$ for which the system of linear equations: ...
If $$A = \left[ {\matrix{ 1 &amp; 2 &amp; 2 \cr 2 &amp; 1 &amp; { - 2} ...
The integral $$\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}} $...
The integral <br>$$\int\limits_2^4 {{{\log \,{x^2}} \over {\log {x^2} + \log \l...
The area (in sq. units) of the region described by <br>$$\left\{ {\left( {x,y} ...
Let $$y(x)$$ be the solution of the differential equation <br>$$\left( {x\,\log...
If $$12$$ different balls are to be placed in $$3$$ identical boxes, then the pr...
Let $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ be thre...
The equation of the plane containing the line $$2x-5y+z=3; x+y+4z=5,$$ and paral...
The distance of the point $$(1, 0, 2)$$ from the point of intersection of the li...
$$\mathop {\lim }\limits_{x \to 0} {{\left( {1 - \cos 2x} \right)\left( {3 + \co...
The negation of $$ \sim s \vee \left( { \sim r \wedge s} \right)$$ is equivalent...
The mean of the data set comprising of 16 observations is 16. If one of the obse...
If the function. <br><br>$$g\left( x \right) = \left\{ {\matrix{ {k\sqrt {x +...

Physics

The period of oscillation of a simple pendulum is $$T = 2\pi \sqrt {{L \over g}}...
A particle of mass $$m$$ moving in the $$x$$ direction with speed $$2v$$ is hit ...
Distance of the center of mass of a solid uniform cone from its vertex is $$z{}_...
From a solid sphere of mass $$M$$ and radius $$R$$ a cube of maximum possible vo...
Given in the figure are two blocks $$A$$ and $$B$$ of weight 20 N and 100 N, res...
A solid body of constant heat capacity $$1$$ $$J/{}^ \circ C$$ is being heated b...
Consider an ideal gas confined in an isolated closed chamber. As the gas undergo...
Consider a spherical shell of radius $$R$$ at temperature $$T$$. The black body ...
From a solid sphere of mass $$M$$ and radius $$R,$$ a spherical portion of radiu...
A pendulum made of a uniform wire of cross sectional area $$A$$ has time period ...
For a simple pendulum, a graph is plotted between its kinetic energy $$(KE)$$ an...
A train is moving on a straight track with speed $$20\,m{s^{ - 1}}.$$ It is blow...
In the given circuit, charges $${Q_2}$$ on the $$2\mu F$$ capacitor changes as $...
A uniformly charged solid sphere of radius $$R$$ has potential $${V_0}$$ (measur...
A long cylindrical shell carries positives surfaces change $$\sigma $$ in the up...
When $$5V$$ potential difference is applied across a wire of length $$0.1$$ $$m,...
In the circuit shown, the current in the $$1\Omega $$ resistor is : <img class=...
Two long current carrying thin wires, both with current $$I,$$ are held by insul...
A rectangular loop of sides $$10$$ $$cm$$ and $$5$$ $$cm$$ carrying a current $$...
Two coaxial solenoids of different radius carry current $$I$$ in the same direct...
An arc lamp requires a direct current of $$10$$ $$A$$ at $$80$$ $$V$$ to functio...
On a hot summer night, the refractive index of air is smallest near the ground ...
Assuming human pupil to have a radius of $$0.25$$ $$cm$$ and a comfortable viewi...
An $$LCR$$ circuit is equivalent to a damped pendulum. In an $$LCR$$ circuit the...
An inductor $$(L=0.03$$ $$H)$$ and a resistor $$\left( {R = 0.15\,k\Omega } \rig...
Monochromatic light is incident on a glass prism of angle $$A$$. If the refracti...
A red $$LED$$ emits light at $$0.1$$ watt uniformly around it. The amplitude of ...
A signal of $$5$$ $$kHz$$ frequency is amplitude modulated on a carrier wave of ...
As an electron makes a transition from an excited state to the ground state of a...
Match <b>List - $${\rm I}$$</b> (Fundamental Experiment) with <b>List - $${\rm I...
Two stones are thrown up simultaneously from the edge of a cliff $$240$$ $$m$$ h...

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