Identify (A) in the following reaction sequence :

For the following reactions $$A\buildrel {700K} \over \longrightarrow {\mathop{\rm Product}\nolimits} $$ $$A\mathrel{\m

The correct order of heat of combustion for following alkadienes is :

The Ksp for the following dissociation is 1.6 × 10–5 $$PbC{l_{2(s)}} \leftrightharpoons Pb_{(aq)}^{2 + } + 2Cl_{(aq)}^ -

[Pd(F)(Cl)(Br)(I)]2– has n number of geometrical isomers. Then, the spin-only magnetic moment and crystal field stabilis

If the magnetic moment of a dioxygen species is 1.73 B.M, it may be :

According to the following diagram, A reduces BO2 when the temperature is :

A chemist has 4 samples of artificial sweetener A, B, C and D. To identify these samples, he performed certain experimen

'X' melts at low temperature and is a bad conductor of electricity in both liquid and solid state. X is :

If enthalpy of atomisation for Br2(1) is x kJ/mol and bond enthalpy for Br2 is y kJ/mol, the relation between them :

The increasing order of basicity for the following intermediates is (from weak to strong)

B has a smaller first ionization enthalpy than Be. Consider the following statements : (I) It is easier to remove 2p ele

The acidic, basic and amphoteric oxides, respectively, are :

The major product Z obtained in the following reaction scheme is :

Which of these will produce the highest yield in Friedel Crafts reaction?

The compound that cannot act both as oxidising and reducing agent is :

Complex X of composition Cr(H2O)6Cln has a spin only magnetic moment of 3.83 BM. It reacts with AgNO3 and shows geometri

The major product (Y) in the following reactions is :

The de Broglie wavelength of an electron in the 4th Bohr orbit is :

The electronic configurations of bivalent europium and trivalent cerium are (atomic number : Xe = 54, Ce = 58, Eu = 63)

The hardness of a water sample containing 10–3 M MgSO4 expressed as CaCO3 equivalents (in ppm) is ______. (molar mass of

The molarity of HNO3 in a sample which has density 1.4 g/mL and mass percentage of 63% is _____. (Molecular Weight of H

108 g of silver (molar mass 108 g mol–1) is deposited at cathode from AgNO3(aq) solution by a certain quantity of electr

The mass percentage of nitrogen in histamine is _____.

How much amount of NaCl should be added to 600 g of water ($$\rho $$ = 1.00 g/mL) to decrease the freezing point of wate

If the number of five digit numbers with distinct digits and 2 at the 10th place is 336 k, then k is equal to :

A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/m

Let z be complex number such that $$\left| {{{z - i} \over {z + 2i}}} \right| = 1$$ and |z| = $${5 \over 2}$$. Then the

In a box, there are 20 cards, out of which 10 are lebelled as A and the remaining 10 are labelled as B. Cards are drawn

The value of $$\int\limits_0^{2\pi } {{{x{{\sin }^8}x} \over {{{\sin }^8}x + {{\cos }^8}x}}} dx$$ is equal to :

If ƒ'(x) = tan–1(secx + tanx), $$ - {\pi \over 2} < x < {\pi \over 2}$$, and ƒ(0) = 0, then ƒ(1) is equal to :

If the matrices A = $$\left[ {\matrix{ 1 & 1 & 2 \cr 1 & 3 & 4 \cr 1 & { - 1} & 3

The number of real roots of the equation, e4x + e3x – 4e2x + ex + 1 = 0 is :

Negation of the statement : $$\sqrt 5 $$ is an integer or 5 is an irrational is :

The product $${2^{{1 \over 4}}}{.4^{{1 \over {16}}}}{.8^{{1 \over {48}}}}{.16^{{1 \over {128}}}}$$ ... to $$\infty $$ is

Let the observations xi (1 $$ \le $$ i $$ \le $$ 10) satisfy the equations, $$\sum\limits_{i = 1}^{10} {\left( {{x_1} -

A circle touches the y-axis at the point (0, 4) and passes through the point (2, 0). Which of the following lines is not

If e1 and e2 are the eccentricities of the ellipse, $${{{x^2}} \over {18}} + {{{y^2}} \over 4} = 1$$ and the hyperbola,

If for all real triplets (a, b, c), ƒ(x) = a + bx + cx2; then $$\int\limits_0^1 {f(x)dx} $$ is equal to :

The value of $${\cos ^3}\left( {{\pi \over 8}} \right)$$$${\cos}\left( {{3\pi \over 8}} \right)$$+$${\sin ^3}\left( {{

Let ƒ be any function continuous on [a, b] and twice differentiable on (a, b). If for all x $$ \in $$ (a, b), ƒ'(x) >

Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be the point of intersection of th

If $$f(x) = \left\{ {\matrix{ {{{\sin (a + 2)x + \sin x} \over x};} & {x < 0} \cr {b\,\,\,\,\,\,\,\,\,\,\

The integral $$\int {{{dx} \over {{{(x + 4)}^{{8 \over 7}}}{{(x - 3)}^{{6 \over 7}}}}}} $$ is equal to : (where C is a c

The number of distinct solutions of the equation $${\log _{{1 \over 2}}}\left| {\sin x} \right| = 2 - {\log _{{1 \over

If for some $$\alpha $$ and $$\beta $$ in R, the intersection of the following three places x + 4y – 2z = 1 x + 7y – 5z

The coefficient of x4 is the expansion of (1 + x + x2)10 is _____.

If for x $$ \ge $$ 0, y = y(x) is the solution of the differential equation (x + 1)dy = ((x + 1)2 + y – 3)dx, y(2) = 0,

If the vectors, $$\overrightarrow p = \left( {a + 1} \right)\widehat i + a\widehat j + a\widehat k$$, $$\overrightarro

The projection of the line segment joining the points (1, –1, 3) and (2, –4, 11) on the line joining the points (–1, 2,

A quantity f is given by $$f = \sqrt {{{h{c^5}} \over G}} $$ where c is speed of light, G universal gravitational consta

A long, straight wire of radius a carries a current distributed uniformly over its cross-section. The ratio of the magne

The electric fields of two plane electromagnetic plane waves in vacuum are given by $$\overrightarrow {{E_1}} = {E_0}\w

Consider a sphere of radius R which carries a uniform charge density $$\rho $$. If a sphere of radius $${{R \over 2}}$$

A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass $${m \over 2}$$ coll

Consider a force $$\overrightarrow F = - x\widehat i + y\widehat j$$ . The work done by this force in moving a particl

A particle moving with kinetic energy E has de Broglie wavelength $$\lambda $$. If energy $$\Delta $$E is added to its e

Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Mo

If the screw on a screw-gauge is given six rotations, it moves by 3 mm on the main scale. If there are 50 divisions on t

A vessel of depth 2h is half filled with a liquid of refractive index $$2\sqrt 2 $$ and the upper half with another liqu

The aperture diameter of a telescope is 5m. The separation between the moon and the earth is 4 × 105 km. With light of w

Radiation, with wavelength 6561 $$\mathop A\limits^o $$ falls on a metal surface to produce photoelectrons. The electron

Two particles of equal mass m have respective initial velocities $$u\widehat i$$ and $$u\left( {{{\widehat i + \widehat

In the given circuit diagram, a wire is joining points B and D. The current in this wire is :

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure ? w

A charged particle of mass 'm' and charge 'q' moving under the influence of uniform electric field $$E\overrightarrow i

Three harmonic waves having equal frequency $$\nu $$ and same intensity $${I_0}$$, have phase angles 0, $${\pi \over 4}

An electric dipole of moment $$\overrightarrow p = \left( { - \widehat i - 3\widehat j + 2\widehat k} \right) \times {1

Three solid spheres each of mass m and diameter d are stuck together such that the lines connecting the centres form an

Water flows in a horizontal tube (see figure). The pressure of water changes by 700 Nm–2 between A and B where the area

One end of a straight uniform 1m long bar is pivoted on horizontal table. It is released from rest when it makes an angl

In a fluorescent lamp choke (a small transformer) 100 V of reverse voltage is produced when the choke current changes un

The distance x covered by a particle in one dimensional motion varies with time t as x2 = at2 + 2bt + c. If the accelera

A body of mass m = 10 kg is attached to one end of a wire of length 0.3 m. The maximum angular speed (in rad s–1) with w

Both the diodes used in the circuit shown are assumed to be ideal and have negligible resistance when these are forward