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

Which of the following compounds will exhibit geometrical isomerism?

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

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

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

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

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

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

Which of the vitamins given below is water soluble?

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

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

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

In the following sequence of reactions: The product C is

The synthesis of alkyl fluorides is best accomplished by:

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

The colour of KMnO4 is due to :

Which of the following compounds is not colored yellow?

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

Which one has the highest boiling point?

Higher order (>3) reactions are rare due to

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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