Match the transformations in column I with appropriate options in column II Column I (A) CO2(s) $$\to$$ CO2(g) (B) CaCO3

In 1 L saturated solution of AgCl [Ksp(AgCl) = 1.6 $$\times$$ 10-10], 0.1 mol of CuCl [Ksp(CuCl) = 1.0 $$\times$$ 10-6]

The number of hexagonal face that present in a truncated octahedron is

The freezing point (in oC) of a solution containing 0.1 g of K3[Fe(CN)6] (Mol. wt. 329) in 100 g of water (Kf = 1.86 K k

Consider the following cell reaction: 2Fe(s) + O2(g) + 4H+(aq) $$\to$$ 2Fe2+ (aq) + 2H2O (l); Eo = 1.67 V At [Fe2+] = 10

For the first order reaction 2N2O5 (g) $$\to$$ 4NO2 (g) + O2 (g)

Oxidation states of the metal in the minerals haematite and magnetite, respectively are

Let $$\omega = {e^{{{i\pi } \over 3}}}$$, and a, b, c, x, y, z be non-zero complex numbers such that $$a + b + c = x$$

The number of distinct real roots of $${x^4} - 4{x^3} + 12{x^2} + x - 1 = 0$$

A value of $$b$$ for which the equations $$$\matrix{ {{x^2} + bx - 1 = 0} \cr {{x^2} + x + b = 0} \cr } $$$

The circle passing through the point (-1, 0) and touching the y-axis at (0, 2) also passes through the point.

The straight line 2x - 3y = 1 divides the circular region $${x^2}\, + \,{y^2}\, \le \,6$$ into two parts. If $$S = \lef

Let $$(x, y)$$ be any point on the parabola $${y^2} = 4x$$. Let $$P$$ be the point that divides the line segment from $$

Let $$P(6, 3)$$ be a point on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal at

Let f $$:$$$$\left[ { - 1,2} \right] \to \left[ {0,\infty } \right]$$ be a continuous function such that $$f\left( x \r

Let $$y'\left( x \right) + y\left( x \right)g'\left( x \right) = g\left( x \right),g'\left( x \right),y\left( 0 \right)

Let $$E$$ and $$F$$ be two independent events. The probability that exactly one of them occurs is $$\,{{11} \over {25}}$

Match the statements given in Column -$$I$$ with the values given in Column-$$II.$$ $$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,

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

If $$\mathop {\lim }\limits_{x \to 0} {[1 + x\ln (1 + {b^2})]^{1/x}} = 2b{\sin ^2}\theta $$, $$b > 0$$ and $$\theta \in

Let f(x) = x2 and g(x) = sin x for all x $$\in$$ R. Then the set of all x satisfying $$(f \circ g \circ g \circ f)(x) =

Let $$\omega$$ $$\ne$$ 1 be a cube root of unity and S be the set of all non-singular matrices of the form $$\left[ {\ma

If $$f(x) = \left\{ {\matrix{ { - x - {\pi \over 2},} & {x \le - {\pi \over 2}} \cr { - \cos x} & { - {\pi \

Let $$f:(0,1) \to R$$ be defined by $$f(x) = {{b - x} \over {1 - bx}}$$, where be is a constant such that $$0

Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by

Let M be a 3 $$\times$$ 3 matrix satisfying $$M\left[ {\matrix{ 0 \cr 1 \cr 0 \cr } } \right] = \left[

Match the statements given in Column I with the intervals/union of intervals given in Column II :

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gaug

A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forw

A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The coefficient of friction between the block a

A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mass 0.01 kg, traveling with a velocity V m/s

A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is ejected fr

A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $${x_1}\left( t \right) = A\sin \

Which of the field patterns given below is valid for electric field as well as for magnetic field ?

A wooden block performs $$SHM$$ on a frictionless surface with frequency, $${v_0}.$$ The block carries a charge $$+Q$$

Which of the following statement(s) is/are correct?

A light ray travelling in glass medium is incident on glass-air interface at an angle of incidence $$\theta$$. The refle

A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b.

Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are full

A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of

A series RC-current is connected to AC voltage source. Consider two cases : (A) When C is without a dielectric medium an

A series RC combination is connected to an AC voltage of angular frequency $$\omega$$ = 500 rad/s. If the impedance of t

A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is unde

Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts

Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex s

One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristic

Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural freque