In which one of the following equilibria, Kp $$ \ne $$ KC ?

Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :

The molar solubility of Cd(OH)2 is 1.84 × 10–5 M in water. The expected solubility of Cd(OH)2 in a buffer solution of p

Which one of the following is likely to give a precipitate with AgNO3 solution ?

The compound used in the treatment of lead poisoning is :

In comparison to boron, berylium has :

Consider the following reactions : 'A' is :

A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar mass = 180 g mo

Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X with Hg(OAc)2/H2O followed

NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation, 2N2O5(g) $$ \to $$ 4NO

Which of the given statements is INCORRECT about glycogen?

The pair that has similar atomic radii is :

The INCORRECT match in the following is :

Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO2 and gaseous product. MnO2 reacts with Na

The coordination numbers of Co and Al in [Co(Cl)(en)2]Cl and K3[Al(C2O4)3], respectively, are : (en = ethane-1, 2-diamin

25 g of an unknown hydrocarbon upon burning produces 88 g of CO2 and 9 g of H2O. This unknown hydrocarbon contains :

The decreasing order of electrical conductivity of the following aqueous solutions is : 0.1 M Formic acid (A), 0.1 M Ace

What will be the major product when m-cresol is reacted with propargyl bromide (HC$$ \equiv $$C–CH2Br) in presence of K2

Among the following, the energy of 2s orbital is lowest in :

The IUPAC name for the following compound is :

An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options : Assertion (A) : Vi

In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is :

Let A, B and C be sets such that $$\phi $$ $$ \ne $$ A $$ \cap $$ B $$ \subseteq $$ C. Then which of the following stat

If the area (in sq. units) bounded by the parabola y2 = 4$$\lambda $$x and the line y = $$\lambda $$x, $$\lambda $$ &gt

The general solution of the differential equation (y2 – x3)dx – xydy = 0 (x $$ \ne $$ 0) is : (where c is a constant of

Let $$a \in \left( {0,{\pi \over 2}} \right)$$ be fixed. If the integral $$\int {{{\tan x + \tan \alpha } \over {\tan x

If $$\alpha $$, $$\beta $$ and $$\gamma $$ are three consecutive terms of a non-constant G.P. such that the equations $$

A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perp

The term independent of x in the expansion of $$\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} -

If a1, a2, a3, ..... are in A.P. such that a1 + a7 + a16 = 40, then the sum of the first 15 terms of this A.P. is :

Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x $$ \in $$ R. If f(x) attains maximum value at $$\alpha $$ and g(x) attains

Let z $$ \in $$ C with Im(z) = 10 and it satisfies $${{2z - n} \over {2z + n}}$$ = 2i - 1 for some natural number n. The

A value of $$\theta \in \left( {0,{\pi \over 3}} \right)$$, for which $$\left| {\matrix{ {1 + {{\cos }^2}\theta } &

$$\mathop {\lim }\limits_{x \to 0} {{x + 2\sin x} \over {\sqrt {{x^2} + 2\sin x + 1} - \sqrt {{{\sin }^2}x - x + 1} }}$

The derivative of $${\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)$$, with respect to $${x \

A value of $$\alpha $$ such that $$\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can randomly b

A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs. 12 when th

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :

The electron in a hydrogen atom first jumps from the third excited state to the second excited state and subsequently to

A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound ?

A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube met

An electron, moving along the x-axis with an initial energy of 100 eV, enters a region of magnetic field $$\overrightarr

The number density of molecules of a gas depends on their distance r from the origin as, $$n\left( r \right) = {n_0}{e^{

A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having

A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. Th

A block of mass 5 kg is (i) pushed in case (A) and (ii) pulled in case (B), by a force F = 20 N, making an angle of 30o

A plane electromagnetic wave having a frequency v = 23.9 GHz propagates along the positive z-direction in free space. Th

A diatomic gas with rigid molecules does 10 J of work when expanded at constant pressure. What would be the heat energy

A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of Elasticity equals Y

A smooth wire of length 2$$\pi $$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the

A system of three polarizers P1, P2, P3 is set up such that the pass axis of P3 is crossed with respect to that of P1. T

Let a total charge 2Q be distributed in a sphere of radius R, with the charge density given by $$\rho $$(r) = kr, where

Consider the LR circuit shown in the figure. If the switch S is closed at t = 0 then the amount of charge that passes th

Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 $$\mathop A\limits^o $

One kg of water, at 20oC, heated in an electric kettle whose heating element has a mean (temperature averaged) resistanc

A transparent cube of side, made of a material of refractive index $$\mu $$2, is immersed in a liquid of refractive inde

A particle is moving with speed v = b$$\sqrt x $$ along positive x-axis. Calculate the speed of the particle at time t =

In the given circuit, the charge on 4 $$\mu $$F capacitor will be :

Figure shows a DC voltage regulator circuit, with a Zener diode of breakdown voltage = 6V. If the unregulated input volt

Two particles are projected from the same point with the same speed u such that they have the same range R, but differen

Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as sh

The ratio of the weights of a body on the Earth’s surface to that on the surface of a planets is 9 : 4. The mass of the

A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths

Find the magnetic field at point P due to a straight line segment AB of length 6 cm carrying a current of 5A. (See figur