Diborane (B2H6) reacts with O2 and H2O independently, then products formed are

Assertion: Ozone is destroyed by CFCs in the upper stratosphere. Reason: Ozone holes increase the amount of UV radiation

Adsorption of a gas follows freundlich adosorbed isotherm. x is the mass of the gas adsorbed on mass m of the adsorbent.

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

With respect to an ore, Ellingham diagram helps to predict the feasibility of its.

The following ligand is :

Maltose on treatment with dilute HCI gives :

The correct order of hydration enthapies of alkali metal ions 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

An organic compound neither reacts with natural 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

Which is wrong with respect to our responsiblity as a human being to protect our environment ?

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)

100 mL of a water sample contains 0.81 g of calcium bicrabonate and 0.73 g of magnesium bicarbonate. The hardness of thi

Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahe

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

The shortest distance between the line y = x and the curve y2 = x – 2 is :

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 magnitude of the projection of the vector $$\mathop {2i}\limits^ \wedge + \mathop {3j}\limits^ \wedge + \mathop

The contrapositive of the statement "If you are born in India, then you are a citizen of India", is :

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 the tangents on the ellipse 4x2 + y2 = 8 at the points (1, 2) and (a, b) are perpendicular to each other, then a2 is

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 :

The sum of the series 2.20C0 + 5.20C1 + 8.20C2 + 11.20C3 + ... +62.20C20 is equal to :

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 sum of the co-efficients of all even degree terms in x in the expansion of $${\left( {x + \sqrt {{x^3} - 1} } \right

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

The equation of a plane containing the line of intersection of the planes 2x – y – 4 = 0 and y + 2z – 4 = 0 and passing

A 200 $$\Omega $$ resistor has a certain color code. If one replaces the red color by green in the code, the new resist

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 breakers 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

The wavelength of the carrier waves in a modern optical fiber communication network is close to :

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