For the chemical reaction X $$\rightleftharpoons$$ Y, the standard reaction Gibbs energy depends on temperature T (in

Consider the reaction N2(g) + 3H2(g) $$\rightleftharpoons$$ 2NH3(g) The equilibrium constant of the above reaction

A 10 mg effervescent tablet containing sodium bicarbonate and oxalic acid releases 0.25 ml of CO2 at T = 298.15 K and p

The correct order of the atomic radii of C, Cs, Al, and S is :

For the cell Zn(s) |Zn2+ (aq)| |Mx+ (aq)| M(s), different half cells and their standard electrode potentials are given b

The element that usually does NOT show variable oxidation states is :

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H atom is suita

Match the metals (column I) with the coordination compound(s)/enzyme(s) (column II) .tg {border-collapse:collapse;bor

If a reaction follows the Arrhenius equation, the plot ln k vs $${1 \over {\left( {RT} \right)}}$$ gives straight line w

The major product of the following reaction is :

The major product of the following reaction is :

The major product of the following reaction is

Which compound (s) out of the following is/are not aromatic ?

The major product of the following reaction is :

Among the following compounds, which one is found in RNA ?

Two blocks of the same metal having same mass and at temperature T1 and T2, respectively, are brought in contact with ea

The freezing point of a diluted milk sample is found to be –0.2oC, while it should have been –0.5oC for pure milk. How m

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

An organic compound is estimated through Duma's method and was found to evolve 6 moles of CO2. 4 moles of H2O and 1 mole

The outcome of each of 30 items was observed; 10 items gave an outcome $${1 \over 2}$$ – d each, 10 items gave outcome $

If  xloge(logex) $$-$$ x2 + y2 = 4(y > 0), then $${{dy} \over {dx}}$$ at x = e is equal to :

The area (in sq. units) of the region bounded by the curve x2 = 4y and the straight line x = 4y – 2 is :

Let A = $$\left( {\matrix{ 0 & {2q} & r \cr p & q & { - r} \cr p & { - q} & r \cr

Let [x] denote the greatest integer less than or equal to x. Then $$\mathop {\lim }\limits_{x \to 0} {{\tan \left( {\pi

If y(x) is the solution of the differential equation $${{dy} \over {dx}} + \left( {{{2x + 1} \over x}} \right)y = {

A square is inscribed in the circle x2 + y2 – 6x + 8y – 103 = 0 with its sides parallel to the coordinate axes. Then the

If one real root of the quadratic equation 81x2 + kx + 256 = 0 is cube of the other root, then a value of k is

The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then t

The maximum value of the function f(x) = 3x3 – 18x2 + 27x – 40 on the set S = $$\left\{ {x\, \in R:{x^2} + 30 \le 11x}

The sum of the real values of x for which the middle term in the binomial expansion of $${\left( {{{{x^3}} \over 3}

Let  $$\overrightarrow a = \widehat i + 2\widehat j + 4\widehat k,$$ $$\overrightarrow b = \widehat i +

If  $$\int {{{\sqrt {1 - {x^2}} } \over {{x^4}}}} $$ dx = A(x)$${\left( {\sqrt {1 - {x^2}} } \right)^m}$$ + C,

If the system of linear equations 2x + 2y + 3z = a 3x – y + 5z = b x – 3y + 2z = c where a, b, c are non zero real numbe

The sum of an infinite geometric series with positive terms is 3 and the sum of the cubes of its terms is $${{27} \over

The value of the integral $$\int\limits_{ - 2}^2 {{{{{\sin }^2}x} \over { \left[ {{x \over \pi }} \right] + {1 \over 2}}

Let $$f\left( x \right) = \left\{ {\matrix{ { - 1} & { - 2 \le x < 0} \cr {{x^2} - 1,} & {0 \le x \le

Two integers are selected at random from the set {1, 2, ...., 11}. Given that the sum of selected numbers is even, the c

Let $${\left( { - 2 - {1 \over 3}i} \right)^3} = {{x + iy} \over {27}}\left( {i = \sqrt { - 1} } \right),\,\,$$ where x

Let a1, a2, . . . . . ., a10 be a G.P.    If $${{{a_3}} \over {{a_1}}} = 25,$$ then $${{{a_9}} \over {{a_5

Let fk(x) = $${1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)$$ for k = 1, 2, 3, ... Then for all x $$ \in $$ R,

Let f : R $$ \to $$ R be defined by f(x) = $${x \over {1 + {x^2}}},x \in R$$.   Then the range of f is :

An electromagnetic wave of intensity 50 Wm–2 enters in a medium of refractive index 'n' without any loss. The ratio of t

Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin(450 t – 9x) where distance and

A body is projected at t = 0 with a velocity 10 ms–1 at an angle of 60o with the horizontal. The radius of curvature of

A liquid of density $$\rho $$ is coming out of a hose pipe of radius a with horizontal speed $$\upsilon $$ and hits a me

In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400 $$\Omega $$, the bridge is b

In the given circuit the current through Zener Diode is close to:

An equilateral triangle ABC is cut from a thin solid sheet of wood. (see figure) D, E and F are the mid-points of its si

A slab is subjected to two forces $$\overrightarrow {{F_1}} $$ and $$\overrightarrow {{F_2}} $$ of same magnitude F as

A body of mass 1 kg falls freely from a height of 100 m, on a platform mass 3 kg which is mounted on a spring having spr

In the circuit shown, the switch S1 is closed at time t = 0 and the switch S2 is kept open. At some later time(t0), th

The resistance of the meter bridge AB in given figure is 4 $$\Omega $$. With a cell of emf $$\varepsilon $$ = 0.5 V and

The given graph shows variation (with distance r form centre) of :

Three charges Q, + q and + q are placed at the vertices of a right-angle isosceles triangle as shown below. The net elec

In the figure shown below, the charge on the left plate of the 10$$\mu $$F capacitor is –30$$\mu $$C. The charge on the

The variation of refractive index of a crown glass thin prism with wavelength of the incident light is shown. Which of t

In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering wave

Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are no

The force of interaction between two atoms is given by F = $$\alpha $$$$\beta $$exp $$\left( { - {{{x^2}} \over {\alpha

A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of the change in velo

There are two long co-axial solenoids of same length $$l$$. The inner and outer coils have radii r1 and r2 and number of

If the de Broglie wavelength of an electron is equal to the 10–3 times the wavelength of a photon of frequency 6 $$ \t

An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If t

A satellite is revolving in a circular orbit at a height h form the earth surface, such that h < < R where R is th

A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980$$\mathop A\limits^ \ci

In an experiment, electrons are accelerated, from rest, by applying a voltage of 500 V. Calculate the radius of the path

Ice at –20oC is added to 50 g of water at 40oC. When the temperature of the mixture reaches 0oC, it is found that 20 g o

A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volu

A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. considering only translational and ro

A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = Asin$${{\pi t} \over {90}}$