The major product of the following reaction is –

The correct statement (s) among I to III with respect to potassium ions that are abundant within the cell fluid is /are

The major product of the following reaction is –

The correct order of atomic radii is :

The magnetic moment of an octahedral homoleptic Mn(II) complex is 5.9 BM. The suitable ligand for this complex is -

The major product of the following reaction is :

The element that shows greater ability to form p$$\pi $$-p$$\pi $$ multiple bonds, is :

The correct structure of histidine in a strongly acidic solution (pH = 2) is -

If Ksp of Ag2CO3 is 8 $$ \times $$ 10–12, the molar solubility of Ag2CO3 in 0.1 M AgNO3 is -

8 g of NaOH is dissolved in 18g of H2O. Mole fraction of NaOH in solution and molality (in mol kg–1) of the solution res

The increasing order of the reactivity of the following with LiAlH4 is

The upper stratosphere consisting of the ozone layer protects us from sun's radiation that falls in the wavelength regio

Given (i)  C (graphite) + O2(g) $$ \to $$ CO2(g); $$\Delta $$rH$$^\Theta $$ = x kJ mol$$-$$1 (ii)  

For a reaction consider the plot of $$\ell $$n k versus 1/T given in the figure. If the rate constant of this reaction a

The aldehydes which will not form Grignard product with one equivalent Grignard reagents are -

If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 $$\pi $$a0 (a0 is Bo

The element that does NOT show catenation is :

Molecules of benzoic acid (C6H5COOH) dimerise in benzene. 'w' g of the acid dissolved in 30 g of benzene shows a depress

The combination of plots which does not represent isothermal expansion of an ideal gas is –

The major product of the following reaction is –

$$ \wedge _m^ \circ $$ for NaCl, HCl and NaA are 126.4, 425.9 and 100.5 S cm2 mol–1, respectively. If the conductivity

The major product in the following conversion is –

The major product of the following reaction is –

If sin4$$\alpha $$ + 4 cos4$$\beta $$ + 2 = 4$$\sqrt 2 $$ sin $$\alpha $$ cos $$\beta $$; $$\alpha $$, $$\beta $$ $$ \in

In a game, a man wins Rs. 100 if he gets 5 or 6 on a throw of a fair die and loses Rs. 50 for getting any other number o

If a curve passes through the point (1, –2) and has slope of the tangent at any point (x, y) on it as $${{{x^2} - 2y} \o

There are m men and two women participating in a chess tournament. Each participant plays two games with every other par

$$\mathop {\lim }\limits_{x \to {1^ - }} {{\sqrt \pi - \sqrt {2{{\sin }^{ - 1}}x} } \over {\sqrt {1 - x} }}$$ is equal

If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the locus of th

If   nC4, nC5 and nC6 are in A.P., then n can be :

The number of integral values of m for which the quadratic expression, (1 + 2m)x2 – 2(1 + 3m)x + 4(1 + m), x $$ \in $$ R

The total number of irrational terms in the binomial expansion of (71/5 – 31/10)60 is :

The set of all values of $$\lambda $$ for which the system of linear equations x – 2y – 2z = $$\lambda $$x x + 2y + z =

The mean and the variance of five observations are 4 and 5.20, respectively. If three of the observations are 3, 4 and 4

If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes i

Let f be a differentiable function such that f(1) = 2 and f '(x) = f(x) for all x $$ \in $$ R R. If h(x) = f(f(x)), then

Let z1 and z2 be two complex numbers satisfying | z1 | = 9 and | z2 – 3 – 4i | = 4. Then the minimum value of | z1 – z2

If   A = $$\left[ {\matrix{ 1 & {\sin \theta } & 1 \cr { - \sin \theta } & 1 & {\sin \

In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 opted for both NCC and NSS. If one of these student

Let Z be the set of integers. If A = {x $$ \in $$ Z : 2(x + 2) (x2 $$-$$ 5x + 6) = 1} and B = {x $$ \in $$ Z : $$-$$

If the function f given by f(x) = x3 – 3(a – 2)x2 + 3ax + 7, for some a$$ \in $$R is increasing in (0, 1] and decreasin

Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If $$\Delta $$S'BS is a ri

The integral $$\int {{{3{x^{13}} + 2{x^{11}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^4}}}} \,dx$$ is equal to :

The integral $$\int\limits_1^e {\left\{ {{{\left( {{x \over e}} \right)}^{2x}} - {{\left( {{e \over x}} \right)}^x}} \ri

A load of mass M kg is suspended from a steel wire of length 2m and radius 1.0 mm in Searle's apparatus experiment. The

In the circuit shown, find C if the effective capacitance of the whole circuit is to be 0.5 $$\mu $$F. All values in the

Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed $$\omega $$. At t =

A soap bubble, blown by a mechanical pump at the mouth of a tube, increases in volume, with time, at a constant rate. Th

The mean intensity of radiation on the surface of the Sun is about 108 W/m2 . The rms value of the corresponding magnet

A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms–1, at right angl

A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A

An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scatte

A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. T

When a certain photosensitive surface is illuminated with monochromatic light of frequency v, the stopping potential for

A parallel plate capacitor with plates of area 1 m2 each, are at a separation of 0.1 m. If the electric field between th

A paramagnetic material has 1028 atoms/m3. Its magnetic susceptibility at temperature 350 K is 2.8 $$ \times $$ 10–4. It

In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents

The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is 'I(x)

In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 e

A plano-convex lens (focal length f2, refractive index $$\mu $$2, radius of curvature R) fits exactly into a plano-conca

A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclin

Let $$\ell $$, r, C and V represent inductance, resistance, capacitance and voltage, respectively. The dimension of $${\

A simple harmonic motion is represented by : y = 5 (sin 3 $$\pi $$ t + $$\sqrt 3 $$ cos 3 $$\pi $$t) cm The amplitude an

Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular

A galvanometer, whose resistance is 50 ohm, has 25 divisions in it. When a current of 4 $$ \times $$ 10–4 A passes throu

A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the fig

An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature 300 K. The mean time between two successive

The charge on a capacitor plate in a circuit, as a function of time, is shown in the figure : When is the value of curr

Formation of real image using a biconvex lens is shown below : If the whole set up is immersed in water without disturb

In the above circuit, C = $${{\sqrt 3 } \over 2}$$$$\mu $$F, R2 = 20 $$\Omega $$, L = $${{\sqrt 3 } \over {10}}$$ H and

A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liqu