Match the anionic species given in Column-I that are present in the ore(s) given in Column-II .tg {border-collapse:co

Copper is purified by electrolytic refining of blister copper. The correct statement(s) about this process is(are)

All the energy released from the reaction $$X \to Y, \Delta _tG^o $$ = -193 kJ mol-1 is used for oxidizing M+ as M+ $$\

If the freezing point of a 0.01 molal aqueous solution of a cobalt (III) chloride-ammonia complex(which behaves as a str

If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occ

Match the thermodynamics processes given under column I with expression given under column II Column I (A) Freezing wate

Among the triatomic molecules/ions, BeCl2, $$N_3^-$$, N2O, $$NO_2^+$$, O3, SCl2, $$ICl_2^-$$, $$I_3^-$$ and XeF2, the to

Not considering the electronic spin, the degeneracy of the second excited state( n = 3) of H atom is 9, while the degene

The total number of stereoisomers that can exist for M is ___________.

The number of resonance structure for N is _________.

The number of lone pairs of electrons in N2O3 is ___________.

For the octahedral complexes of Fe3+ in SCN$$-$$ (thiocyana-to-S) and in CN$$-$$ ligand environments, the difference bet

Compound(s) that on hydrogenation produce(s) optically inactive compound(s) is(are)

The major product of the following reaction is

In the following reaction, the major product is

The structure of D-(+)-glucose is The structure of L-($$-$$)-glucose is

The major product of the reaction is

The correct statements about Cr2+ and Mn3+ is(are) (Atomic numbers of Cr = 24 and Mn = 25)

Fe3+ is reduced to Fe2+ by using

The % yield of ammonia as a function of time in the reaction N2(g) + 3H2(g) $$\rightleftharpoons$$ 2NH3(g), $$\Delta$$H

Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all the girls stand cons

The number of distinct solutions of the equation $${5 \over 4}{\cos ^2}\,2x + {\cos ^4}\,x + {\sin ^4}\,x + {\cos ^6}\,

Match the following : $$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,$$ Column $$I$$ (A)$$\,\,\,\,$$ In $${R^2},$$ If the magnit

Let $$P$$ and $$Q$$ be distinct points on the parabola $${y^2} = 2x$$ such that a circle with $$PQ$$ as diameter passes

If the normals of the parabola $${y^2} = 4x$$ drawn at the end points of its latus rectum are tangents to the circle $${

Let the curve $$C$$ be the mirror image of the parabola $${y^2} = 4x$$ with respect to the line $$x+y+4=0$$. If $$A$$ an

A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner v

Let $$y(x)$$ be a solution of the differential equation $$\left( {1 + {e^x}} \right)y' + y{e^x} = 1.$$ If $$y(0)=2$$, t

Consider the family of all circles whose centres lie on the straight line $$y=x,$$ If this family of circle is represent

Let $$f:R \to R$$ be a function defined by $$f\left( x \right) = \left\{ {\matrix{ {\left[ x \right],} & {x \le 2

Let $$F\left( x \right) = \int\limits_x^{{x^2} + {\pi \over 6}} {2{{\cos }^2}t\left( {dt} \right)} $$ for all $$x \in R

The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at

In $${R^3},$$ consider the planes $$\,{P_1}:y = 0$$ and $${P_2}:x + z = 1.$$ Let $${P_3}$$ be the plane, different from

In $${R^3},$$ let $$L$$ be a straight lines passing through the origin. Suppose that all the points on $$L$$ are at a c

Let $$\Delta PQR$$ be a triangle. Let $$\vec a = \overrightarrow {QR} ,\vec b = \overrightarrow {RP} $$ and $$\overright

Match the following : .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg td{border-color:black;border-sty

Let X and Y be two arbitrary, 3 $$\times$$ 3, non-zero, skew-symmetric matrices and Z be an arbitrary 3 $$\times$$ 3, no

Which of the following values of $$\alpha$$ satisfy the equation $$\left| {\matrix{ {{{(1 - \alpha )}^2}} & {{{(1 + 2

Let $$g:R \to R$$ be a differentiable function with $$g(0) = 0$$, $$g'(0) = 0$$ and $$g'(1) \ne 0$$. Let $$f(x) = \left\

Let $$f(x) = \sin \left( {{\pi \over 6}\sin \left( {{\pi \over 2}\sin x} \right)} \right)$$ for all $$x \in R$$ and g(

The figures below depict two situations in which two infinitely long static line charges of constant positive line charg

Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 104 times the p

A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature T

A bullet is fired vertically upwards with velocity v from the surface of a spherical planet. When it reaches its maximum

Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge wi

Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a unit of mas

A Young's double slit interference arrangement with slits S1 and S2 is immersed in water (refractive index = 4/3) as sho

Consider a concave mirror and a convex lens (refractive index = 1.5) of focal length 10 cm each, separated by a distance

An infinitely long uniform line charge distribution of charge per unit length $$\lambda$$ lies parallel to the y-axis in

Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation of wavelength 90 nm is used

Two identical uniform discs roll without slipping on two different surfaces AB and CD (see figure) starting at A and C w

A nuclear power plant supplying electrical power to a village uses a radioactive material of half life T years as the fu

A ring of mass M and radius R is rotating with angular speed $$\omega$$ about a fixed vertical axis passing through its

Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are p

A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field B. If

In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the

For photo-electric effect with incident photon wavelength $$\lambda$$, the stopping potential is V0. Identify the correc

Two independent harmonic oscillators of equal masses are oscillating about the origin with angular frequencies $$\omega$

Match the nuclear processes given in Column I with the appropriate option(s) in Column II:

A particle of unit mass is moving along the x-axis under the influence of a force and its total energy is conserved. Fou