JEE Main 2015 (Offline)

Paper was held on
Sat, Apr 4, 2015 9:30 AM

## Chemistry

Which of the following is the energy of a possible excited state of hydrogen?

View Question The ionic radii (in Å) of N3–, O2– and F– are respectively:

View Question The intermolecular interaction that is dependent on the inverse cube of distance between the molecule is:

View Question The standard Gibbs energy change at 300 K for the reaction 2A $$\leftrightharpoons$$ B + C is 2494.2 J. At a given time,

View Question The following reaction is performed at 298 K
2NO(g) + O2 (g) $$\leftrightharpoons$$ 2NO2 (g)
The standard free energy

View Question The molecular formula of a commercial resin used for exchanging ions in water softening is
C8H7SO3Na (Mol. Wt. 206). Wha

View Question In Carius method of estimation of halogens, 250 mg of an organic compound gave 141 mg of AgBr. The
percentage of bromine

View Question Which of the following compounds will exhibit geometrical isomerism?

View Question The vapour pressure of acetone at 20oC is 185 torr. When 1.2 g of a non-volatile substance was dissolved in
100 g of ace

View Question Two Faraday of electricity is passed through a solution of CuSO4. The mass of copper deposited at the
cathode is: (at. m

View Question Higher order (>3) reactions are rare due to

View Question Which one has the highest boiling point?

View Question Assertion : Nitrogen and Oxygen are the main components in the atmosphere but these do not react to
form oxides of nitro

View Question Which of the following compounds is not colored yellow?

View Question The colour of KMnO4 is due to :

View Question The number of geometric isomers that can exist for square planar [Pt (Cl) (py) (NH3) (NH2OH)]+ is (py = pyridine) :

View Question The synthesis of alkyl fluorides is best accomplished by:

View Question In the following sequence of reactions:
The product C is

View Question Which of the vitamins given below is water soluble?

View Question Which compound would give $$5$$ - keto - $$2$$ - methylhexanal upon ozonolysis?

View Question In the reaction
The product $$E$$ is :

View Question Match the catalysts to the correct processes :
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View Question ## Mathematics

A complex number z is said to be unimodular if $$\,\left| z \right| = 1$$. Suppose $${z_1}$$ and $${z_2}$$ are complex n

View Question Let $$\alpha $$ and $$\beta $$ be the roots of equation $${x^2} - 6x - 2 = 0$$. If $${a_n} = {\alpha ^n} - {\beta ^n},$$

View Question The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is:

View Question If m is the A.M. of two distinct real numbers l and n $$(l,n > 1)$$ and $${G_1},{G_2}$$ and $${G_3}$$ are three geome

View Question The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices $$(0,

View Question Locus of the image of the point $$(2, 3)$$ in the line $$\left( {2x - 3y + 4} \right) + k\left( {x - 2y + 3} \right) = 0

View Question Let $$O$$ be the vertex and $$Q$$ be any point on the parabola, $${{x^2} = 8y}$$. If the point $$P$$ divides the line se

View Question Let $${\tan ^{ - 1}}y = {\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right),$$
where $$\left| x

View Question Let $$f(x)$$ be a polynomial of degree four having extreme values
at $$x=1$$ and $$x=2$$. If $$\mathop {\lim }\limits_{

View Question The set of all values of $$\lambda $$ for which the system of linear equations:
$$\matrix{
{2{x_1} - 2{x_2} + {x_3} =

View Question If $$A = \left[ {\matrix{
1 & 2 & 2 \cr
2 & 1 & { - 2} \cr
a & 2 & b \cr
} } \r

View Question The integral $$\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}} $$ equals :

View Question The integral
$$\int\limits_2^4 {{{\log \,{x^2}} \over {\log {x^2} + \log \left( {36 - 12x + {x^2}} \right)}}dx} $$ is

View Question The area (in sq. units) of the region described by
$$\left\{ {\left( {x,y} \right):{y^2} \le 2x} \right.$$ and $$\left.

View Question Let $$y(x)$$ be the solution of the differential equation
$$\left( {x\,\log x} \right){{dy} \over {dx}} + y = 2x\,\log

View Question If $$12$$ different balls are to be placed in $$3$$ identical boxes, then the probability that one of the boxes contains

View Question $$\mathop {\lim }\limits_{x \to 0} {{\left( {1 - \cos 2x} \right)\left( {3 + \cos x} \right)} \over {x\tan 4x}}$$ is equ

View Question The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted
and three n

View Question If the function.
$$g\left( x \right) = \left\{ {\matrix{
{k\sqrt {x + 1} ,} & {0 \le x \le 3} \cr
{m\,x + 2,

View Question Let A and B be two sets containing four and
two elements respectively. Then, the number
of subsets of the set A $\times$

View Question ## Physics

The period of oscillation of a simple pendulum is $$T = 2\pi \sqrt {{L \over g}} $$. Measured value of L is 20.0 cm kno

View Question A particle of mass $$m$$ moving in the $$x$$ direction with speed $$2v$$ is hit by another particle of mass $$2m$$ movi

View Question Distance of the center of mass of a solid uniform cone from its vertex is $$z{}_0$$. If the radius of its base is $$R$$

View Question From a solid sphere of mass $$M$$ and radius $$R$$ a cube of maximum possible volume is cut. Moment of inertia of cube a

View Question Given in the figure are two blocks $$A$$ and $$B$$ of weight 20 N and 100 N, respectively. These are being pressed again

View Question A solid body of constant heat capacity $$1$$ $$J/{}^ \circ C$$ is being heated by keeping it in contact with reservoirs

View Question Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average t

View Question Consider a spherical shell of radius $$R$$ at temperature $$T$$. The black body radiation inside it can be considered as

View Question From a solid sphere of mass $$M$$ and radius $$R,$$ a spherical portion of radius $$R/2$$ is removed, as shown in the fi

View Question A pendulum made of a uniform wire of cross sectional area $$A$$ has time period $$T.$$ When an additional mass $$M$$ is

View Question For a simple pendulum, a graph is plotted between its kinetic energy $$(KE)$$ and potential energy $$(PE)$$ against its

View Question In the given circuit, charges $${Q_2}$$ on the $$2\mu F$$ capacitor changes as $$C$$ is varied from $$1\,\mu F$$ to $$3\

View Question A uniformly charged solid sphere of radius $$R$$ has potential $${V_0}$$ (measured with respect to $$\infty $$) on its s

View Question A long cylindrical shell carries positives surfaces change $$\sigma $$ in the upper half and negative surface charge - $

View Question When $$5V$$ potential difference is applied across a wire of length $$0.1$$ $$m,$$ the drift speed of electrons is $$2.5

View Question In the circuit shown, the current in the $$1\Omega $$ resistor is :

View Question Two long current carrying thin wires, both with current $$I,$$ are held by insulating threads of length $$L$$ and are in

View Question A rectangular loop of sides $$10$$ $$cm$$ and $$5$$ $$cm$$ carrying a current $$1$$ of $$12A$$ is placed in different or

View Question Two coaxial solenoids of different radius carry current $$I$$ in the same direction. $$\overrightarrow {{F_1}} $$ be the

View Question On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the grou

View Question Assuming human pupil to have a radius of $$0.25$$ $$cm$$ and a comfortable viewing distance of $$25$$ $$cm$$, the minimu

View Question An $$LCR$$ circuit is equivalent to a damped pendulum. In an $$LCR$$ circuit the capacitor is charged to $${Q_0}$$ and t

View Question An inductor $$(L=0.03$$ $$H)$$ and a resistor $$\left( {R = 0.15\,k\Omega } \right)$$ are connected in series to a batte

View Question Monochromatic light is incident on a glass prism of angle $$A$$. If the refractive index of the material of the prism is

View Question A red $$LED$$ emits light at $$0.1$$ watt uniformly around it. The amplitude of the electric field of the light at a dis

View Question As an electron makes a transition from an excited state to the ground state of a hydrogen - like atom/ion :

View Question Two stones are thrown up simultaneously from the edge of a cliff $$240$$ $$m$$ high with initial speed of $$10$$ $$m/s$$

View Question