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

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

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

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

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

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

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

Which of the following compounds will exhibit geometrical isomerism?

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

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

Higher order (>3) reactions are rare due to

Which one has the highest boiling point?

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

Which of the following compounds is not colored yellow?

The colour of KMnO4 is due to :

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

The synthesis of alkyl fluorides is best accomplished by:

In the following sequence of reactions: The product C is

Which of the vitamins given below is water soluble?

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

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

Match the catalysts to the correct processes : .tg {border-collapse:collapse;border-spacing:0;border:none;border-color

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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