The major product of the following reaction is –

Two solids dissociate as follows – The total pressure when both the solids dissociated simultaneously is -

Mn2(CO)10 is an organometallic compound due to the presence of -

In a chemical reaction, the initial concentration of B was 1.5 times of the concentration of A, but the equilibrium co

The major product of the following reaction is

The increasing order of reactivity of the following compounds towards reaction with alkyl halides directly is (A) (B)

The standard electrode potential $${E^o }$$ and its temperature coefficient $$\left( {{{d{E^o }} \over {dT}}} \right)$$

Among the following compounds most basic amino acid is -

Decomposition of X exhibits a rate constant of 0.05 $$\mu $$g/year. How many year are required for the decomposition of

The metal d-orbitals that are directly facing the ligands in K3[Co(CN)6] are -

What is the work function of the metal if the light of wavelength 4000$$\mathop A\limits^ \circ $$ generates photoelect

The hardness of a water sample (in terms of equivalents of CaCO3) containing 10–3 M CaSO4 is (Molar mass of CaSO4 = 136

Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% aqueous solution of Y. If molecular weigh

For diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between

50 mL of 0.5 M oxalic acid is needed to neutralize 25 mL of sodium hydroxide solution. The amount of NaOH in 50 mL of th

can not be prepared by -

In the following reaction, products A and B are –

The correct order for acid strength of compounds : CH $$ \equiv $$ CH, CH3–C $$ \equiv $$ CH and CH2 = CH2 is as follows

The element with Z = 120 (not yet discovered) will be an/a -

The pair of metal ions that can give a spin only magnetic moment of 3.9 BM for the complex [M(H2O)6]Cl2, is -

Among the following four aromatic compounds, which one will have the lowest melting point ?

In the following reaction : Aldehyde + Alcohol   $$\buildrel {HCl} \over \longrightarrow $$  Acet

If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :

A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of $${\left( {{2^{1/3}

Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then $$\int\limits_0^a

If $${{z - \alpha } \over {z + \alpha }}\left( {\alpha \in R} \right)$$ is a purely imaginary number and | z | = 2, the

Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :

In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experi

The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola,

If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the followi

Consider three boxes, each containing, 10 balls labelled 1, 2, … , 10. Suppose one ball is randomly drawn from each of t

Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola,

If $$\lambda $$ be the ratio of the roots of the quadratic equation in x, 3m2x2 + m(m – 4)x + 2 = 0, then the least valu

Let P = $$\left[ {\matrix{ 1 & 0 & 0 \cr 3 & 1 & 0 \cr 9 & 3 & 1 \cr } } \right

The maximum value of 3cos$$\theta $$ + 5sin $$\left( {\theta - {\pi \over 6}} \right)$$ for any real value of $$\thet

An ordered pair ($$\alpha $$, $$\beta $$) for which the system of linear equations (1 + $$\alpha $$) x + $$\beta $$y +

Let S be the set of all points in (–$$\pi $$, $$\pi $$) at which the function, f(x) = min{sin x, cos x} is not different

The integral $$\int \, $$cos(loge x) dx is equal to : (where C is a constant of integration)

$$\mathop {\lim }\limits_{x \to \pi /4} {{{{\cot }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}$$ is

The area (in sq. units) of the region bounded by the parabola, y = x2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is

If the straight line, 2x – 3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, $$\beta

For x > 1, if (2x)2y = 4e2x$$-$$2y, then (1 + loge 2x)2 $${{dy} \over {dx}}$$ is equal to :

Considering only the principal values of inverse functions, the set A = { x $$ \ge $$ 0: tan$$-$$1(2x) + tan$$-$$1(3x) =

The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these term

Let y = y(x) be the solution of the differential equation, x$${{dy} \over {dx}}$$ + y = x loge x, (x > 1). If 2y(2)

A simple pendulum, made of a string of length $$\ell $$ and a bob of mass m, is released from a small angle $${{\theta _

There is a uniform spherically symmetric surface charge density at a distance R0 from the origin. The charge distributio

A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass, fa

A straight rod of length L extends from x = a to x = L + a. The gravitational force it exerts on a point mass 'm' at x =

What is the position and nature of image formed by lens combination shown in figure ? (f1, f2 are focal lengths)

A travelling harmonic wave is represented by the equation y(x,t) = 10–3sin (50t + 2x), where, x and y are in mater and t

In the figure shown, a circuit contains two identical resistors with resistance R = 5$$\Omega $$ and an inductance with

For the given cyclic process CAB as shown for a gas, the work done is :

In the figure shown, after the switch 'S' is turned from position 'A' to position 'B', the energy dissipated in the circ

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale requir

In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation $${{dR} \over {d\ell

The galvanometer deflection, when key K1 is closed but K2 is open, equals $$\theta $$0 (see figure). On closing K2 also

A point source of light, S is placed at distance L in front of the centre of plane mirror of width d which is hanging ve

The position vector of the centre of mass $$\overrightarrow r {\,_{cm}}\,$$ of an asymmetric uniform bar of negligible a

Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its ax

Determine the electric dipole moment of the system of the three charges, placed on the vertices of an equilateral triang

A light wave is incident normally on a glass slab of refractive index 1.5. If 4 % of light gets reflected and the amplit

A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V. Another particle B of mass ' 4

A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductiv

An ideal gas occupies a volume of 2m3 at a pressure of 3 $$ \times $$ 106 Pa. The energy of the gas is :

A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60o with ground le

As shown in the figure, two infinitely long, identical wires are bent by 90o and placed in such a way that the segments

A particle of mass m moves in a circular orbit in a central potential field U(r) = $${1 \over 2}$$ kr2. If Bohr 's quant

Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If

Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod A

A proton and an $$\alpha $$-particle (with their masses in the ratio of 1 : 4 and charges in the ratio of 1 : 2) are acc

A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a spee

The output of the given logic circuit is :