Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkeni

The correct stability order for the following species is :

Cellulose upon acetylation with excess acetic anhydride/H$$_2$$SO$$_4$$ (catalytic) gives cellulose triacetate whose str

In the following reaction sequence, the correct structure of E, F and G are :

Among the following, the coloured compound is :

Both [Ni(CO)$$_4$$] and [Ni(CN)$$_4$$]$$^{2-}$$ are diamagnetic. They hybridisations of nickel in these complexes, respe

The IUPAC name of [Ni(NH$$_3$$)$$_4$$] [NiCl$$_4$$] is :

Electrolysis of dilute aqueous NaCl solution was carried out by passing 10 milli ampere current. The time required to li

Among the following, the surfactant that will form micelles in aqueous solution at the lowest molar concentration at amb

Solubility product constants (K$$_{sp}$$) of salts of types MX, MX$$_2$$ and M$$_3$$X at temperature T are 4.0 $$\times$

Statement 1 : Aniline on reaction with NaNO$$_2$$/HCl at 0$$^\circ$$C followed by coupling with $$\beta$$-naphthol gives

Statement 1 : [Fe(H$$_2$$O)$$_5$$NO]SO$$_4$$ is paramagnetic. Statement 2 : The Fe in [Fe(H$$_2$$O)$$_5$$NO]SO$$_4$$ has

Statement 1 : The geometrical isomers of the complex [M(NH$$_3$$)$$_4$$Cl$$_2$$] are optically inactive. Statement 2 : B

Statement 1 : There is a natural asymmetry between converting work to heat and converting heat to work. Statement 2 : No

Compound H is formed by the reaction of

The structure of compound I is :

The structures of compound J, K and L, respectively, are:

The number of atoms in this HCP unit cell is :

The volume of this HCP unit cell is :

The empty space in this HCP unit cell is :

Match the compounds in Column I with their characteristic test(s)/reaction(s) given in Column II. Indicate your answer b

Match the conversions in Column I with the type(s) of reaction(s) given in Column II. Indicate your answer by darkening

Which of the following is true?

A particle P stats from the point $${z_0}$$ = 1 +2i, where $$i = \sqrt { - 1} $$. It moves horizontally away from origin

The shortest distance between $${L_1}$$ and $${L_2}$$ is :

The distance of the point $$(1, 1, 1)$$ from the plane passing through the point $$(-1, -2, -1)$$ and whose normal is pe

The unit vector perpendicular to both $${L_1}$$ and $${L_2}$$ is :

Let two non-collinear unit vectors $$\widehat a$$ and $$\widehat b$$ form an acute angle. A point $$P$$ moves so that at

Let a solution $$y=y(x)$$ of the differential equation, $$x\sqrt {{x^2} - 1} \,\,dy - y\sqrt {{y^2} - 1} \,dx = 0$$ sat

Let $$g\left( x \right) = \int\limits_0^{{e^x}} {{{f'\left( t \right)} \over {1 + {t^2}}}} \,dt.$$ Which of the followin

Which of the following is true?

The area of the region between the curves $$y = \sqrt {{{1 + \sin x} \over {\cos x}}} $$ and $$y = \sqrt {{{1 - \sin x}

Let $$I = \int {{{{e^x}} \over {{e^{4x}} + {e^{2x}} + 1}}dx,\,\,J = \int {{{{e^{ - x}}} \over {{e^{ - 4x}} + {e^{ - 2x}}

Let the function $$g:\left( { - \infty ,\infty } \right) \to \left( { - {\pi \over 2},{\pi \over 2}} \right)$$ be give

Let $$g(x) = \log f(x)$$, where $$f(x)$$ is a twice differentiable positive function on (0, $$\infty$$) such that $$f(x

Consider a branch of the hyperbola $$${x^2} - 2{y^2} - 2\sqrt 2 x - 4\sqrt 2 y - 6 = 0$$$ with vertex at the point $$A

Consider $$\,{L_1}:\,\,2x\,\, + \,\,3y\, + \,p\,\, - \,\,3 = 0$$ $$\,{L_2}:\,\,2x\,\, + \,\,3y\, + \,p\,\, + \,\,3 =

Suppose four distinct positive numbers $${a_1},\,{a_{2\,}},\,{a_3},\,{a_4}\,$$ are in G.P. Let $${b_1} = {a_1},{b_2} = {

Consider all possible permutations of the letters of the word ENDEANOEL. Match the Statements/Expressions in Column I wi

Let $$a,\,b,c$$, $$p,q$$ be real numbers. Suppose $$\alpha ,\,\beta $$ are the roots of the equation $${x^2} + 2px + q =

Consider three points $$P = ( - \sin (\beta - \alpha ), - cos\beta ),Q = (cos(\beta - \alpha ),\sin \beta )$$ and $$R

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4

Consider the lines given by: $${L_1}:x + 3y - 5 = 0$$ $${L_2}:3x - ky - 1 = 0$$ $${L_3}:5x + 2y - 12 = 0$$ Match the Sta

Match the Statements/Expressions in Column I with the Statements/Expressions in Column II. .tg {border-collapse:collap

STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in

Consider a system of three charges $${q \over 3},{q \over 3}$$ and $$ - {{2q} \over 3}$$ placed at points A, B and C, re

A radioactive sample S1 having activity of 5 $$\mu$$Ci has twice the number of nuclei as another sample S2 which has an

A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of t

A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k respectively (see figure I).

A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficien

A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a

A vibrating string of certain length 1 under a tension T resonates with a mode corresponding to the first overtone (thir

A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K

A light beam is travelling from Region I to Region IV (Refer figure). The refractive index in Regions I, II, III and I

STATEMENT 1 : It is easier to pull a heavy object than to push it on a level ground. and STATEMENT 2 : The magnitude of

STATEMENT 1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits. and STA

STATEMENT 1 : The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a co

The electric field at r = R is :

For a = 0, the value of d (maximum value of $$\rho$$ as shown in the figure) is

The electric field within the nucleus is generally observed to be linearly dependent on r. This implies

The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium p

The centre of mass of the disk undergoes simple harmonic motion with angular frequency $$\omega$$ equal to:

The maximum value of V$$_0$$ for which the disk will roll without slipping is:

Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in th

An optical component and an object S placed along its optic axis are given in Column I. The distance between the object

Column I contains a list of processes involving expansion of an ideal gas. Match this with Column II describing the ther