An example of a disproportionation reaction is :

Given CO3+ + e– $$ \to $$ CO2+ ; Eo = + 1.81 V Pb4+ + 2e– $$ \to $$ Pb2+ ; Eo = + 1.67 V Ce4+ + e– $$ \to $$ Ce3+ ; E

The correct statement among the following is :

5 moles of AB2 weigh 125 × 10–3 kg and 10 moles of A2B2 weigh 300 × 10–3 kg. The molar mass of A (MA) and molar mass o

Complete removal of both the axial ligands (along the z-axis) from an octahedral complex leads to which of the following

The increasing order of the pKb of the following compound is :

The group number, number of valence electrons, and valency of an element with atomic number 15, respectively, are:

The complex ion that will lose its crystal field stabilization energy upon oxidation of its metal to +3 state is :

The major product(s) obtained in the following reaction is/are :

In the following reaction; xA $$ \to $$ yB $${\log _{10}}\left[ { - {{d\left[ A \right]} \over {dt}}} \right] = {\log _{

The major product of the following addition reaction is : H3C–CH=CH2 $$\buildrel {C{l_2}/{H_2}O} \over \longrightarrow

An ideal gas is allowed to expand form 1 L to 10 L against a constant external pressure of I bar. The work done in kJ is

But-2-ene on reaction with alkaline KMnO4 at elevated temperature followed by acidification will give :

The mole fraction of a solvent in aqueous solution of a solute is 0.8. The molality (in mol kg–1 ) of the aqueous soluti

The electrons are more likely to be found :

An organic compound 'A' is oxidizod with Na2O2 followed by boiling with HNO3. The resultant solution is then treated wit

Enthalpy of sublimation of iodine is 24 cal g–1 at 200 oC. If specific heat of I2(s) and l2 (vap) are 0.055 and 0.031 c

Which of the following statements is not true about RNA?

The major products of the following reaction are :

What is the molar solubility of Al(OH)3 in 0.2 M NaOH solution ? Given that, solubility product of Al(OH)3 = 2.4 × 10–24

Glucose and Galactose are having identical configuration in all the positions except position

The major product of the following reaction is :

If ey + xy = e, the ordered pair $$\left( {{{dy} \over {dx}},{{{d^2}y} \over {d{x^2}}}} \right)$$ at x = 0 is equal to

If $$\alpha $$ and $$\beta $$ are the roots of the equation 375x2 – 25x – 2 = 0, then $$\mathop {\lim }\limits_{n \to \i

The equation |z – i| = |z – 1|, i = $$\sqrt { - 1} $$, represents :

If $$\int\limits_0^{{\pi \over 2}} {{{\cot x} \over {\cot x + \cos ecx}}} dx$$ = m($$\pi $$ + n), then m.n is equal to

For x $$ \in $$ (0, 3/2), let f(x) = $$\sqrt x $$ , g(x) = tan x and h(x) = $${{1 - {x^2}} \over {1 + {x^2}}}$$. If $$\p

The integral $$\int {{{2{x^3} - 1} \over {{x^4} + x}}} dx$$ is equal to : (Here C is a constant of integration)

If $$B = \left[ {\matrix{ 5 & {2\alpha } & 1 \cr 0 & 2 & 1 \cr \alpha & 3 & { - 1}

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed wi

The value of $${\sin ^{ - 1}}\left( {{{12} \over {13}}} \right) - {\sin ^{ - 1}}\left( {{3 \over 5}} \right)$$ is equal

Let f : R $$ \to $$ R be a continuously differentiable function such that f(2) = 6 and f'(2) = $${1 \over {48}}$$. If $$

Let Sn denote the sum of the first n terms of an A.P. If S4 = 16 and S6= – 48, then S10 is equal to :

The equation y = sinx sin (x + 2) – sin2 (x + 1) represents a straight line lying in :

A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 cm/sec

Let $$\overrightarrow a = 3\widehat i + 2\widehat j + 2\widehat k$$ and $$\overrightarrow b = \widehat i + 2\widehat j

If A is a symmetric matrix and B is a skew-symmetric matrix such that A + B = $$\left[ {\matrix{ 2 & 3 \cr 5

If the data x1, x2,......., x10 is such that the mean of first four of these is 11, the mean of the remaining six is 16

If the area (in sq. units) of the region {(x, y) : y2 $$ \le $$ 4x, x + y $$ \le $$ 1, x $$ \ge $$ 0, y $$ \ge $$ 0} is

Consider the differential equation, $${y^2}dx + \left( {x - {1 \over y}} \right)dy = 0$$, If value of y is 1 when x = 1,

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the lengt

The coefficient of x18 in the product (1 + x) (1 – x)10 (1 + x + x2)9 is :

If m is the minimum value of k for which the function f(x) = x$$\sqrt {kx - {x^2}} $$ is increasing in the interval [0,3

The number of ways of choosing 10 objects out of 31 objects of which 10 are identical and the remaining 21 are distinct,

The trajectory of a projectile near the surface of the earth is given as y = 2x – 9x2 . If it were launched at an angle

Two moles of helium gas is mixed with three moles of hydrogen molecules (taken to be rigid). What is the molar specific

A concave mirror has radius of curvature of 40 cm. It is at the bottom of a glass that has water filled up to 5 cm (see

An electromagnetic wave is represented by the electric field $$\overrightarrow E = {E_0}\widehat n\sin \left[ {\omega t

To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage i

At 40o C, a brass wire of 1 mm radius is hung from the ceiling. A small mass, M is hung from the free end of the wire. W

The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving

A sample of an ideal gas is taken through the cyclic process abca as shown in the figure. The change in the internal ene

The truth table for the circuit given in the fig. is:

A galvanometer of resistance 100 $$\Omega $$ has 50 divisions on its scale and has sensitivitv of 20 $$\mu $$A/division.

A point dipole $$\overrightarrow p = - {p_0}\widehat x$$ is kept at the origin. The potential and electric field due t

Which of the following combinations has the dimension of electrical resistance ($$ \in $$0 is the permittivity of vacuum

A person of mass M is, sitting on a swing of length L and swinging with an angular amplitude $$\theta $$0. If the person

In a double slit experiment, when a thin film of thickness t having refractive index $$\mu $$. is introduced in front of

The value of numerical aperature of the objective lens of a microscope is 1.25. If light of wavelength 5000 $$\mathop A\

The resistive network shown below is connected to a D.C. source of 16 V. The power consumed by the network is 4 Watt. Th

Two identical parallel plate capacitors, of capacitance C each, have plates of area A, separated by a distance d. The sp

The stopping potential V0 (in volt) as a function of frequency ($$\upsilon $$) for a sodium emitter, is shown in the fig

A thin ring of 10 cm radius carries a uniformly distributed charge. The ring rotates at a constant angular speed of 40 $

A uniform rod of length $$\ell $$ is being rotated in a horizontal plane with a constant angular speed about an axis pas

A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a dist

Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q. At i

A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc var

An excited He+ ion emits two photons in succession, with wavelengths 108.5 nm and 30.4 nm, in making a transition to gr

A progressive wave travelling along the positive x-direction is represented by y(x,t) = Asin(kx – $$\omega $$t + $$\phi

A man (mass = 50 kg) and his son (mass = 20 kg) are standing on a frictionless surface facing each other. The man pushes

When M1 gram of ice at –10oC (specific heat = 0.5 cal g–1 oC–1 ) is added to M2 gram of water at 50C, finally no ice is