Resistance of 0.2 M solution of an electrolyte is 50 $$\Omega$$. The specific conductance of the solution is 1.4 S m-1.

Consider separate solutions of 0.500 M C2H5OH(aq), 0.100 M Mg3(PO4)2(aq), 0.250 M KBr(aq) and 0.125 M Na3PO4(aq) at 25oC

For the estimation of nitrogen, 1.4 g of organic compound was digested by Kjeldahl method and the evolved ammonia was ab

In which of the following reactions H2O2 acts as a reducing agent? 1. H2O2 + 2H+ + 2e- $$\to$$ 2H2O 2. H2O2 - 2e- $$\to$

For the reaction SO2 (g) + $${1 \over 2} O_2(g) \leftrightharpoons$$ SO3(g). if KP = KC(RT)x where the symbols have us

For complete combustion of ethanol, C2H5OH(l) + 3O2(g) $$\to$$ 2CO2(g) + 3H2O(l) the amount of heat produced as measure

Given below are the half-cell reactions: Mn2+ + 2e- $$\to$$ Mn; Eo = -1.18 V 2(Mn3+ + e- $$\to$$ Mn2+); Eo = +1.51 V The

The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1 : 4. The ratio of number of their molecu

The major organic compound formed by the reaction of 1, 1, 1– trichloroethane with silver powder is:

Sodium phenoxide when heated with $$C{O_2}$$ under pressure at $${125^ \circ }C$$ yields a product which on acetylation

Which one of the following bases is not present in DNA?

Considering the basic strength of amines in aqueous solution, which one has the smallest pKb value?

On heating an aliphatic primary amine with chloroform and ethanolic potassium hydroxide, the organic compound formed is:

The most suitable reagent for the conversion of R - CH2 - OH $$\to$$ R - CHO is:

In the reaction, the product C is:

In SN2 reactions, the correct order of reactivity for the following compounds: CH3Cl, CH3CH 2Cl, (CH3)2CHCl and (CH3)3CC

The equation which is balanced and represents the correct product(s) is :

The octahedral complex of a metal ion M3+ with four monodentate ligands L1, L2, L3 and L4 absorb wavelengths in the regi

Which series of reactions correctly represents chemical relations related to iron and its compound?

The correct statement for the molecule, CsI3 is :

Which one of the following properties is not shown by NO?

For the non – stoichiometre reaction 2A + B $$\to$$ C + D, the following kinetic data were obtained in three separate ex

The equivalent conductance of NaCl at concentration C and at infinite dilution are $${\lambda _C}$$ and $${\lambda _\in

The correct set of four quantum numbers for the valence elections of rubidium atom (Z= 37) is:

The variance of first 50 even natural numbers is

$$\mathop {\lim }\limits_{x \to 0} {{\sin \left( {\pi {{\cos }^2}x} \right)} \over {{x^2}}}$$ is equal to :

Let the population of rabbits surviving at time $$t$$ be governed by the differential equation $${{dp\left( t \right)}

The integral $$\int\limits_0^\pi {\sqrt {1 + 4{{\sin }^2}{x \over 2} - 4\sin {x \over 2}{\mkern 1mu} } } dx$$ equals:

The area of the region described by $$A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$$ and $$\left. {{y

The integral $$\int {\left( {1 + x - {1 \over x}} \right){e^{x + {1 \over x}}}dx} $$ is equal to

If $$A$$ is a $$3 \times 3$$ non-singular matrix such that $$AA'=A'A$$ and $$B = {A^{ - 1}}A',$$ then $$BB'$$ equals:

If $$\alpha ,\beta \ne 0,$$ and $$f\left( n \right) = {\alpha ^n} + {\beta ^n}$$ and $$$\left| {\matrix{ 3 & {1

If $$x=-1$$ and $$x=2$$ are extreme points of $$f\left( x \right) = \alpha \,\log \left| x \right|+\beta {x^2} + x$$ the

If $$g$$ is the inverse of a function $$f$$ and $$f'\left( x \right) = {1 \over {1 + {x^5}}},$$ then $$g'\left( x \right

Let $$A$$ and $$B$$ be two events such that $$P\left( {\overline {A \cup B} } \right) = {1 \over 6},\,P\left( { {A \cap

The locus of the foot of perpendicular drawn from the centre of the ellipse $${x^2} + 3{y^2} = 6$$ on any tangent to it

Let $$a, b, c$$ and $$d$$ be non-zero numbers. If the point of intersection of the lines $$4ax + 2ay + c = 0$$ and $$5bx

Let $$PS$$ be the median of the triangle with vertices $$P(2, 2)$$, $$Q(6, -1)$$ and $$R(7, 3)$$. The equation of the li

Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. t

Let $$\alpha $$ and $$\beta $$ be the roots of equation $$p{x^2} + qx + r = 0,$$ $$p \ne 0.$$ If $$p,\,q,\,r$$ in A.P. a

If $$a \in R$$ and the equation $$ - 3{\left( {x - \left[ x \right]} \right)^2} + 2\left( {x - \left[ x \right]} \right)

If z is a complex number such that $$\,\left| z \right| \ge 2\,$$, then the minimum value of $$\,\,\left| {z + {1 \over

Let $$f_k\left( x \right) = {1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)$$ where $$x \in R$$ and $$k \ge \,1.

The angle between the lines whose direction cosines satisfy the equations $$l+m+n=0$$ and $${l^2} = {m^2} + {n^2}$$ is :

The current voltage relation of diode is given by $${\rm I} = \left( {{e^{100V/T}} - 1} \right)mA,$$ where the applied v

The forward biased diode connection is:

Match List - $$1$$ (Electromagnetic wave type ) with List - $$2$$ (Its association/application) and select the correct

The radiation corresponding to $$3 \to 2$$ transition of hydrogen atom falls on a metal surface to produce photoelectron

During the propagation of electromagnetic waves in a medium :

Hydrogen $$\left( {{}_1{H^1}} \right)$$, Deuterium $$\left( {{}_1{H^2}} \right)$$, singly ionised Helium $${\left( {{}_2

In the circuit shown here, the point $$'C'$$ is kept connected to point $$'A'$$ till the current flowing through the ci

A green light is incident from the water to the air - water interface at the critical angle $$\left( \theta \right)$$.

A thin convex lens made from crown glass $$\left( {\mu = {3 \over 2}} \right)$$ has focal length $$f$$. When it is meas

Two beams, $$A$$ and $$B$$, of plane polarized light with mutually perpendicular planes of polarization are seen through

A conductor lies along the $$z$$-axis at $$ - 1.5 \le z < 1.5\,m$$ and carries a fixed current of $$10.0$$ $$A$$ in $

The coercivity of a small magnet where the ferromagnet gets demagnetized is $$3 \times {10^3}\,A{m^{ - 1}}.$$ The curren

In a large building, three are $$15$$ bulbs of $$40$$ $$W$$, $$5$$ bulbs of $$100$$ $$W$$, $$5$$ fans of $$80$$ $$W$$ an

An open glass tube is immersed in mercury in such a way that a length of $$8$$ $$cm$$ extends above the mercury level. T

A parallel plate capacitor is made of two circular plates separated by a distance $$5$$ $$mm$$ and with a dielectric of

Assume that an electric field $$\overrightarrow E = 30{x^2}\widehat i$$ exists in space. Then the potential difference

A pipe of length $$85$$ $$cm$$ is closed from one end. Find the number of possible natural oscillations of air column in

A particle moves with simple harmonic motion in a straight line. In first $$\tau s,$$ after starting from rest it travel

One mole of a diatomic ideal gas undergoes a cyclic process $$ABC$$ as shown in figure. The process $$BC$$ is adiabatic.

There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $${d_1}$$ and $${d_2}$$ are

On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of ra

Three rods of Copper, Brass and Steel are welded together to form a $$Y$$ shaped structure. Area of cross - section of e

The pressure that has to be applied to the ends of a steel wire of length $$10$$ $$cm$$ to keep its length constant when

A mass $$'m'$$ is supported by a massless string wound around a uniform hollow cylinder of mass $$m$$ and radius $$R.$$

Four particles, each of mass $$M$$ and equidistant from each other, move along a circle of radius $$R$$ under the action

A bob of mass $$m$$ attached to an inextensible string of length $$l$$ is suspended from a vertical support. The bob rot

When a rubber-band is stretched by a distance $$x$$, it exerts restoring force of magnitude $$F = ax + b{x^2}$$ where $$

A block of mass $$m$$ is placed on a surface with a vertical cross section given by $$y = {{{x^3}} \over 6}.$$ If the co

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?