The correct match between Item I and Item II is : .tg {border-collapse:collapse;border-spacing:0;width:100%} .tg td{fo

For the equilibrium, 2H2O $$\rightleftharpoons$$ H3O+ + OH$$-$$, the value of $$\Delta $$Go at 298 K is approximately

The correct option with respect to the Pauling electronegativity values of the element is :

The radius of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell is : (E

The higher concentration of which gas in air can cause stiffness of flower buds?

K2Hgl4 is 40% ionised in aqueous solution. The value of its van't Hoff factor (i) is:

The reaction, MgO(s) + C(s) $$ \to $$ Mg(s) + CO(g), for which $$\Delta $$rHo + 491.1 kJ mol–1 and $$\Delta $$rSo = 198.

The de Broglie wavelength ($$\lambda $$) associated with a photoelectron varies with the frequency (v) of the incident r

Match the following items in column I with the corresponding items in column II. .tg {border-collapse:collapse;border

25 ml of the given HCl solution requires 30 mL of 0.1 M sodium carbonate solution. What is the volume of this HCl soluti

The reaction that does NOT define calcination is :

$$\underline A \,\,\buildrel {4KOH,{O_2}} \over \longrightarrow \,\,\mathop {2\underline B }\limits_{\left( {Green} \ri

Taj Mahal is being slowly disfigured and discoloured. This is primarily due to :

Among the colloids cheese (C), milk (M), and smoke (S), the correct combination of the dispersed phase and dispersion me

The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by $$\Delta $$rGo = A –

A compound 'X' on treatment with Br2/NaOH, provided C3H9N, which gives positive carbylamine test. Compound 'X' is :

The reaction 2X $$ \to $$ B is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h

The correct match between Item I and Item II is : .tg {border-collapse:collapse;border-spacing:0;border:none;} .tg td

The number of bridging CO ligand(s) and Co-Co bond(s) in Co2(CO)8, respectively are :

Given the equilibrium constant: KC of the reaction : Cu(s) + 2Ag+ (aq) $$ \to $$ Cu2+ (aq) + 2Ag(s) is 10 $$ \times $$

The hydride that is NOT electron deficient :

The coordination number of Th in K4[Th(C2O4)4(OH2)2] is : (C2O$${_4^{2 - }}$$ = Oxalato)

The relative stability of +1 oxidation state of group 13 elements follows the order :

The major product obtained in the following reaction is :

The major product of the following reaction is :

Which of the following compounds reacts with ethylmagnesium bromide and also decolourizes bromine water solution:

The homopolymer formed from 4-hydroxy-butanoic acid is :

The major product obtained in the following conversion is

In the following compound, the favourable site/s for protonation is/are :

Which of the following compounds will produce a precipitate with AgNO3 ?

The solution of the differential equation, $${{dy} \over {dx}}$$ = (x – y)2, when y(1) = 1, is :

The number of functions f from {1, 2, 3, ...., 20} onto {1, 2, 3, ...., 20} such that f(k) is a multiple of 3, whenever

Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – $$\pi $$) cos |x| is not differ

If 19th term of a non-zero A.P. is zero, then its (49th term) : (29th term) is :

Let z be a complex number such that |z| + z = 3 + i (where i = $$\sqrt { - 1} $$). Then |z| is equal to :

Let $$\alpha $$ and $$\beta $$ be the roots of the quadratic equation x2 sin $$\theta $$ – x(sin $$\theta $$ cos $$\the

If  $$\left| {\matrix{ {a - b - c} & {2a} & {2a} \cr {2b} & {b - c - a} & {2b} \cr

$$\mathop {\lim }\limits_{x \to 0} {{x\cot \left( {4x} \right)} \over {{{\sin }^2}x{{\cot }^2}\left( {2x} \right)}}$$ is

Let (x + 10)50 + (x $$-$$ 10)50 = a0 + a1x + a2x2 + . . . . + a50x50, for all x $$ \in $$ R; then $${{{a_2}} \over {{a_0

The area (in sq. units) in the first quadrant bounded by the parabola, y = x2 + 1, the tangent to it at the point (2, 5)

Two lines $${{x - 3} \over 1} = {{y + 1} \over 3} = {{z - 6} \over { - 1}}$$ and $${{x + 5} \over 7} = {{y - 2} \over {

If   $$\int {{{x + 1} \over {\sqrt {2x - 1} }}} \,dx$$ = f(x) $$\sqrt {2x - 1} $$ + C, where C is a constant o

Let A and B be two invertible matrices of order 3 $$ \times $$ 3. If det(ABAT) = 8 and det(AB–1) = 8, then det (BA–1 BT

Let a function f : (0, $$\infty $$) $$ \to $$ (0, $$\infty $$) be defined by f(x) = $$\left| {1 - {1 \over x}} \right|$$

Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :

Let f(x) = $${x \over {\sqrt {{a^2} + {x^2}} }} - {{d - x} \over {\sqrt {{b^2} + {{\left( {d - x} \right)}^2}} }},\,\,$$

The integral  $$\int\limits_{\pi /6}^{\pi /4} {{{dx} \over {\sin 2x\left( {{{\tan }^5}x + {{\cot }^5}x} \right

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricit

Let  S = {1, 2, . . . . . ., 20}. A subset B of S is said to be "nice", if the sum of the elements of B is 20

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the

Let x, y be positive real numbers and m, n positive integers. The maximum value of the expression $${{{x^m}{y^n}} \over

If the point (2, $$\alpha $$, $$\beta $$) lies on the plane which passes through the points (3, 4, 2) and (7, 0, 6) and

Let Sn = 1 + q + q2 + . . . . . + qn and Tn = 1 + $$\left( {{{q + 1} \over 2}} \right) + {\left( {{{q + 1} \over 2}} \

Let $$\sqrt 3 \widehat i + \widehat j,$$    $$\widehat i + \sqrt 3 \widehat j$$  and &nbsp

All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :

A bag contains 30 white balls and 10 red balls. 16 balls are drawn one by one randomly from the bag with replacement. If

Given $${{b + c} \over {11}} = {{c + a} \over {12}} = {{a + b} \over {13}}$$ for a $$\Delta $$ABC with usual notation.

A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. T

If the area of the triangle whose one vertex is at the vertex of the parabola, y2 + 4(x – a2) = 0 and the othertwo verti

If in a parallelogram ABDC, the coordinates of A, B and C are respectively (1, 2), (3, 4) and (2, 5), then the equation

The region between y = 0 and y = d contains a magnetic field $$\overrightarrow B = B\widehat z$$. A particle of mass m

In a double-slit experiment, green light (5303$$\mathop A\limits^ \circ $$) falls on a double slit having a separation

Two rods A and B of identical dimensions are at temperature 30°C. If A is heated upto 180oC and B upto ToC, then the new

When 100 g of a liquid A at 100oC is added to 50 g of a liquid B at temperature 75oC, the temperature of the mixture bec

An electric field of 1000 V/m is applied to an electric dipole at angle of 45o. The value of electric dipole moment is 1

A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts os

A pendulum is executing simple harmonic motion and its maximum kinetic energy is K1. If the length of the pendulum is do

A particle of mass m is moving in a straight line with momentum p. Starting at time t = 0, a force F = kt acts in the sa

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of

A metal ball of mass 0.1 kg is heated upto 500oC and dropped into a vessel of heat capacity 800 JK–1 and containing 0.5

A 27 mW laser beam has a cross-sectional area of 10 mm2. The magnitude of the maximum electric field in this electromagn

In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is

A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation. I

A paramagnetic substance in the form of a cube with sides 1 cm has a magnetic dipole moment of 20 $$ \times $$ 10–6 J/ T

A thermometer graduated according to a linear scale reads a value x0 when in contact with boiling water, and x0/3 when i

In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The dec

A galvanometer having a resistance of 20 $$\Omega $$ and 30 divisions on both sides has figure of merit 0.005 ampere/div

A particle of mass m and charge q is in an electric and magnetic field given by $$\overrightarrow E = 2\widehat i + 3\w

If speed (V), acceleration (A) and force (F) are considered as fundamental units, the dimension of Young,s modulus will

A copper wire is wound on a wooden frame, whose shape is that of an equilateral triangle. If the linear dimension of eac

A particle moves from the point $$\left( {2.0\widehat i + 4.0\widehat j} \right)$$ m, at t = 0, with an initial velocity

The magnitude of torque on a particle of mass 1 kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the

In a process, temperature and volume of one mole of an ideal monoatomic gas are varied according to the relation VT = K,

A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rig

Seven capacitors, each of capacitance 2 $$\mu $$F, are to be connected in a configuration to obtain an effective capacit

In the circuit shown, the potential difference between A and B is :

The circuit shown below contains two ideal diodes, each with a forward resistance of 50 $$\Omega $$. If the battery volt

A string is wound around a hollow cylinder of mass 5 kg and radius 0.5m. If the string is now pulled with a horizontal f

In the experimental set up of metre bridge shown in the figure, the null point is obtained at a distance of 40 cm from A

An amplitude modulated signal is plotted below : Which one of the following best describes the above signal ?