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

The following ligand is :

Maltose on treatment with dilute HCI gives :

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

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

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

The IUPAC name of the following compound is :

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

The major product of the following reaction is :

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

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

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

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 lathanide ion that would show colour is :

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

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

The major product of the following reaction is :

The major product of the following reaction is :

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

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

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

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

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

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

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

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

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

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

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

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_

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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

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

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 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 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

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

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

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

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

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

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

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

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

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.

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

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