An organic compound 'X' showing the following solubility profile is :

The following ligand is :

Maltose on treatment with dilute HCI gives :

Given that $${E^\Theta }_{{O_2}/{H_2}O} = 1.23\,V$$ ; $${E^\Theta }_{{S_2}O_8^{2 - }/SO_4^{2 - }} = 2.05\,V$$ $${E^\Thet

An organic compound neither reacts with neutral ferric chloride solution nor with fehling solution. it however, reacts w

For silver, Cp(J K–1 mol–1) = 23 +0.01 T. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at

The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively at 298 K on mixing the two liquids, the

The major product of the following reaction is :

Coupling of benzene diazonium chloride with 1 - naphthol in alkaline medium will give :

If solublity product of Zr3(PO4)4 is denoted by Ksp and its molar solubility is denoted by S, then which of the followin

The size of the iso-electronic species Cl–,  Ar and Ca2+ is affected by :

In order to oxidise a mixture of one mole of each of FeC2O4, Fe2(C2O4)3, FeSO4 and Fe2(SO4)3 in acidic medium, the numbe

The major product of the following reaction is :

The lathanide ion that would show colour is :

For the reaction 2A + B $$ \to $$ C, the values of initial rate at diffrent reactant concentrations are given in the tab

The correct order of the spin-only magnetic moment of metal ions in the following low-spin complexes, [V(CN)6]4–,[Fe(CN)

In the following compounds, the decreasing order of basic strength will be :

Which of the following amines can be prepared by Gabriel phthalimide reaction ?

Which one of the following equations does not correctly represent the first law of thermodynamics for the given processe

The quantum number of four electrons are given below : n = 4, l = 2, ml =–2, ms = –1/2 n = 3, l = 2, ml = 1, ms = +1/2 n

The major product of the following reaction is :

The IUPAC name of the following compound is :

Let y = y(x) be the solution of the differential equation, $${({x^2} + 1)^2}{{dy} \over {dx}} + 2x({x^2} + 1)y = 1$$ suc

If $$\alpha $$ and $$\beta $$ be the roots of the equation x2 – 2x + 2 = 0, then the least value of n for which $${\left

A point on the straight line, 3x + 5y = 15 which is equidistant from the coordinate axes will lie only in :

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

The length of the perpendicular from the point (2, –1, 4) on the straight line, $${{x + 3} \over {10}}$$= $${{y - 2} \ov

The mean and variance of seven observations are 8 and 16, respectively. If 5 of the observations are 2, 4, 10, 12, 14, t

If $$\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$, $$\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)$$ whe

If $$f(x) = {{2 - x\cos x} \over {2 + x\cos x}}$$ and g(x) = logex, (x > 0) then the value of integral $$\int\limits_

If S1 and S2 are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x4 + 12x3 – 3

Let O(0, 0) and A(0, 1) be two fixed points. Then the locus of a point P such that the perimeter of $$\Delta $$AOP is 4,

If $$f(x) = {\log _e}\left( {{{1 - x} \over {1 + x}}} \right)$$, $$\left| x \right| < 1$$ then $$f\left( {{{2x} \over

Let $$A = \left( {\matrix{ {\cos \alpha } & { - \sin \alpha } \cr {\sin \alpha } & {\cos \alpha } \cr

The sum of all natural numbers 'n' such that 100 < n < 200 and H.C.F. (91, n) > 1 is :

Let A and B be two non-null events such that A $$ \subset $$ B . Then, which of the following statements is always corre

The sum of the solutions of the equation $$\left| {\sqrt x - 2} \right| + \sqrt x \left( {\sqrt x - 4} \right) + 2 =

The area (in sq. units) of the region A = { (x, y) $$ \in $$ R × R|  0 $$ \le $$ x $$ \le $$ 3, 0 $$ \le $$ y

Let ƒ : [0, 2] $$ \to $$ R be a twice differentiable function such that ƒ''(x) > 0, for all x $$ \in $$ (0, 2). If $$

The sum of the squares of the lengths of the chords intercepted on the circle, x2 + y2 = 16, by the lines, x + y = n, n

All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbe

If $$2y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\cos x - \sqrt 3 \sin x}}} \right)} \right)

$$\int {{{\sin {{5x} \over 2}} \over {\sin {x \over 2}}}dx} $$ is equal to (where c is a constant of integration)

The greatest value of c $$ \in $$ R for which the system of linear equations x – cy – cz = 0 cx – y + cz = 0 cx + cy – z

If cos($$\alpha $$ + $$\beta $$) = 3/5 ,sin ( $$\alpha $$ - $$\beta $$) = 5/13 and 0 < $$\alpha , \beta$$ < $$\pi

A boy's catapult is made of rubber cord which is 42 cm long, with 6 mm diameter of cross-section and of negligible mass.

Four particles A, B, C and D with masses mA = m, mB = 2m, mC = 3m and mD = 4m are at the corners of a square. They have

For the circuit shown, with R1 = 1.0W, R2 = 2.0 W, E1 = 2 V and E2 = E3 = 4 V, the potential difference between the poin

Water from a pipe is coming at a rate of 100 litres per minute. If the radius of the pipe is 5 cm, the Reynolds number f

A circular coil having N turns and radius r carries a current I. It is held in the XZ plane in a magnetic field B$${\mat

Voltage rating of a parallel plate capacitor is 500V. Its dielectric can withstand a maximum electric field of 106 V/m.

Two identical beakers A and B contain equal volumes of two different liquids at 60°C each and left to cool down. Liquid

The bob of a simple pendulum has mass 2g and a charge of 5.0 μC. It is at rest in a uniform horizontal electric field of

The reverse breakdown voltage of a Zener diode is 5.6 V in the given circuit. The current IZ through the Zener is :

A thin strip 10 cm long is on a U shaped wire of negligible resistance and it is connected to a spring of spring constan

An upright object is placed at a distance of 40 cm in front of a convergent lens of focal length 20 cm. A convergent mir

A 20 Henry inductor coil is connected to a 10 ohm resistance in series as shown in figure. The time at which rate of dis

A wire of length 2L, is made by joining two wires A and B of same length but different radii r and 2r and made of the s

Ship A is sailing towards north-east with velocity $$\mathop v\limits^ \to = 30\mathop i\limits^ \wedge + 50\mathop

A thin circular plate of mass M and radius R has its density varying as $$\rho $$(r) = $$\rho $$0r with $$\rho $$0 as co

A solid conducting sphere, having a charge Q, is surrounded by an uncharged conducting hollow spherical shell. Let the p

In figure, the optical fiber is $$l$$ = 2m long and has a diameter of d = 20 μm. If a ray of light is incident on one en

A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given that g = 3.1 p ms–2, w

Four identical particles of mass M are located at the corners of a square of side 'a'. What should be their speed if eac

A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by th

A plane electromagnetic wave travels in free space along the x-direction. The electric field component of the wave at a

In SI units, the dimesions of $$\sqrt {{{{ \in _0}} \over {{\mu _0}}}} $$ is :

Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He+ ions in n = 1 and n = 2 states. The possi

A thermally insulated vessel contains 150g of water at 0°C. Then the air from the vessel is pumped out adiabatically. A

In an interference experiment the ratio of amplitudes of coherent waves is $${{{a_1}} \over {{a_2}}} = {1 \over 3}$$ . T

Two particles move at right angle to each other. Their de-Broglie wavelengths are $$\lambda _1$$ and $$\lambda _2$$ resp

An alternating voltage v(t) = 220 sin 100 $$\pi $$t volt is applied to a purely resistance load of 50$$\Omega $$ . The t

If 1022 gas molecules each of mass 10–26 kg collide with a surface (perpendicular to it) elastically per second over an