The increasing order of the atomic radii of the following elements is :- (a) C (b) O (c) F (d) Cl (e) Br

Consider the following plots of rate constant versus $${1 \over T}$$ for four different reactions. Which of the followin

Kjeldahl's method cannot be used to estimate nitrogen for which of the following compounds?

Among the compounds A and B with molecular formula C9H18O3 , A is having higher boiling point the B. The possible struct

An unsaturated hydrocarbon X absorbs two hydrogen molecules on catalytic hydrogenation and also gives following reaction

For the following Assertion and Reason, the correct option is : Assertion : The pH of water increases with increase in t

The radius of the second Bohr orbit, in terms of the Bohr radius, a0, in Li2+ is :

Complexes (ML5) of metals Ni and Fe have ideal square pyramidal and trigonal bipyramidal grometries, respectively. The s

At constant volume, 4 mol of an ideal gas when heated from 300 K to 500K changes its internal energy by 5000 J. The mola

In the following sequence of reactions the maximum number of atoms present in molecule 'C' in one plane is _________. (

For an electrochemical cell Sn(s) | Sn2+ (aq,1M)||Pb2+ (aq,1M)|Pb(s) the ratio $${{\left[ {S{n^{2 + }}} \right]} \over {

The correct order of the calculated spin-only magnetic moments of complexs (A) to (D) is: (A) Ni(CO)4 (B) [Ni(H2O)6]Cl2

Hydrogen has three isotopes (A), (B) and (C). If the number of neutron(s) in (A), (B) and (C) respectively, are (x), (y)

The major product in the following reaction is:

Among (a) – (d) the complexes that can display geometrical isomerism are : (a) [Pt(NH3)3Cl]+ (b) [Pt(NH3)Cl5]– (c) [Pt(

Two monomers in maltose are :

Arrange the following bonds according to their average bond energies in descending order : C–Cl, C–Br, C–F, C–I

A metal (A) on heating in nitrogen gas gives compound B. B on treatment with H2O gives a colourless gas which when passe

The major product [B] in the following sequence of reactions is :-

Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has

The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATI

$$\mathop {\lim }\limits_{x \to 0} {{\int_0^x {t\sin \left( {10t} \right)dt} } \over x}$$ is equal to

If $$A = \left( {\matrix{ 2 & 2 \cr 9 & 4 \cr } } \right)$$ and $$I = \left( {\matrix{ 1 & 0

The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an obs

If $${{\sqrt 2 \sin \alpha } \over {\sqrt {1 + \cos 2\alpha } }} = {1 \over 7}$$ and $$\sqrt {{{1 - \cos 2\beta } \over

Let $$\alpha = {{ - 1 + i\sqrt 3 } \over 2}$$. If $$a = \left( {1 + \alpha } \right)\sum\limits_{k = 0}^{100} {{\alpha

Let A and B be two events such that the probability that exactly one of them occurs is $${2 \over 5}$$ and the probabili

If $$I = \int\limits_1^2 {{{dx} \over {\sqrt {2{x^3} - 9{x^2} + 12x + 4} }}} $$, then :

Let S be the set of all real roots of the equation, 3x(3x – 1) + 2 = |3x – 1| + |3x – 2|. Then S :

If $$\alpha $$ and $$\beta $$ be the coefficients of x4 and x2 respectively in the expansion of $${\left( {x + \sqrt {{x

The system of linear equations $$\lambda $$x + 2y + 2z = 5 2$$\lambda $$x + 3y + 5z = 8 4x + $$\lambda $$y + 6z = 10 has

Let ƒ : (1, 3) $$ \to $$ R be a function defined by $$f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}$$ , where [x] denot

If the 10th term of an A.P. is $${1 \over {20}}$$ and its 20th term is $${1 \over {10}}$$, then the sum of its first 200

Let S be the set of all functions ƒ : [0,1] $$ \to $$ R, which are continuous on [0,1] and differentiable on (0,1). Then

The area (in sq. units) of the region {(x,y) $$ \in $$ R2 : x2 $$ \le $$ y $$ \le $$ 3 – 2x}, is :

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

A capacitor is made of two square plates each of side 'a' making a very small angle $$\alpha $$ between them, as shown i

An object is gradually moving away from the focal point of a concave mirror along the axis of the mirror. The graphical

A particle moves such that its position vector $$\overrightarrow r \left( t \right) = \cos \omega t\widehat i + \sin \om

Consider two charged metallic spheres S1 and S2 of radii R1 and R2, respectively. The electric fields E1 (on S1) and E2

An electron (mass m) with initial velocity $$\overrightarrow v = {v_0}\widehat i + {v_0}\widehat j$$ is in an electric

A uniform sphere of mass 500 g rolls without slipping on a plane horizontal surface with its centre moving at a speed of

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. It

A particle of mass m is dropped from a height h above the ground. At the same time another particle of the same mass is

A very long wire ABDMNDC is shown in figure carrying current I. AB and BC parts are straight, long and at right angle. A

In the given circuit, value of Y is :

A shown in the figure, a battery of emf $$\varepsilon $$ is connected to an inductor L and resistance R in series. The s

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 104 N. When the tension

Two liquids of densities $${\rho _1}$$ an $${\rho _2}$$ ($${\rho _2}$$ = 2$${\rho _1}$$) are filled up behind a square w

A particle of mass m and charge q is released from rest in a uniform electric field. If there is no other force on the p

A simple pendulum is being used to determine th value of gravitational acceleration g at a certain place. Th length of t

A galvanometer having a coil resistance 100 $$\Omega $$ gives a full scale deflection when a current of 1 mA is passed t

A plane electromagnetic wave of frequency 25 GHz is propagating in vacuum along the z-direction. At a particular point i

In a double slit experiment, at a certain point on the screen the path difference between the two interfering waves is $

As shown in figure, when a spherical cavity (centered at O) of radius 1 is cut out of a uniform sphere of radius R (cent

The series combination of two batteries, both of the same emf 10 V, but different internal resistance of 20$$\Omega $$ a

An asteroid is moving directly towards the centre of the earth. When at a distance of 10R (R is the radius of the earth)

The first member of the Balmer series of hydrogen atom has a wavelength of 6561 Å. The wavelength of the second member o

A ball is dropped from the top of a 100 m high tower on a planet. In the last $${1 \over 2}s$$ before hitting the ground

Three containers C1, C2 and C3 have water at different temperatures. The table below shows the final temperature T when