The internal energy change (in J) When 90 g of water undergoes complete evaporation at 100oC is ____________. (Given : $

The oxidation states of iron atoms in compounds (A), (B) and (C), respectively, are x, y and z. The sum of x, y and z is

The number of chiral carbons present in the molecule given below is _____ .

The Gibbs change (in J) for the given reaction at [Cu2+] = [Sn2+] = 1 M and 298K is : Cu(s) + Sn2+(aq.) $$ \to $$ Cu2+(

The increasing order of the following compounds towards HCN addition is :

The major aromatic product C in the following reaction sequence will be :

In general the property (magnitudes only) that show an opposite trend in comparison to other properties across a period

While titrating dilute HCl solution with aqueous NaOH, which of the following will not be required?

The IUPAC name for the following compound is

For the following Assertion and Reason, the correct option is Assertion (A): When Cu (II) and sulphide ions are mixed, t

Which of the following compunds will show retention in configuration on nucleophilic substitution by OH– ion?

Consider that a d6 metal ion (M2+) forms a complex with aqua ligands, and the spin only magnetic moment of the complex i

For octahedral Mn(II) and tetrahedral Ni(II) complexes, consider the following statements: (I) both the complexes can be

An open beaker of water in equilibrium with water vapour is in a sealed container. When a few grams of glucose are added

Consider the following rections: 'x', 'y' and 'z' in these reactions are respectively.

The figure that is not a direct manifestation of the quantum nature of atoms is :

If AB4 molecule is a polar molecule, a possible geometry of AB4 is

The major product in the following reaction is :

In Carius method of estimation of halogen, 0.172 g of an organic compound showed presence of 0.08 g of bromine. Which of

Let S be the set of all $$\lambda $$ $$ \in $$ R for which the system of linear equations 2x – y + 2z = 2 x – 2y + $$\la

Area (in sq. units) of the region outside $${{\left| x \right|} \over 2} + {{\left| y \right|} \over 3} = 1$$ and inside

Box I contains 30 cards numbered 1 to 30 and Box II contains 20 cards numbered 31 to 50. A box is selected at random and

If a function f(x) defined by $$f\left( x \right) = \left\{ {\matrix{ {a{e^x} + b{e^{ - x}},} & { - 1 \le x <

Let $$\alpha $$ > 0, $$\beta $$ > 0 be such that $$\alpha $$3 + $$\beta $$2 = 4. If the maximum value of the term

Let A be a 2 $$ \times $$ 2 real matrix with entries from {0, 1} and |A| $$ \ne $$ 0. Consider the following two stateme

The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in :

If the letters of the word 'MOTHER' be permuted and all the words so formed (with or without meaning) be listed as in a

If $$\mathop {\lim }\limits_{x \to 1} {{x + {x^2} + {x^3} + ... + {x^n} - n} \over {x - 1}}$$ = 820, (n $$ \in $$ N) the

Let $$\overrightarrow a $$, $$\overrightarrow b $$ and $$\overrightarrow c $$ be three unit vectors such that $${\left|

The integral $$\int\limits_0^2 {\left| {\left| {x - 1} \right| - x} \right|dx} $$ is equal to______.

If p(x) be a polynomial of degree three that has a local maximum value 8 at x = 1 and a local minimum value 4 at x = 2;

The value of $${\left( {{{1 + \sin {{2\pi } \over 9} + i\cos {{2\pi } \over 9}} \over {1 + \sin {{2\pi } \over 9} - i\co

The domain of the function f(x) = $${\sin ^{ - 1}}\left( {{{\left| x \right| + 5} \over {{x^2} + 1}}} \right)$$ is (– $$

Let $$\alpha $$ and $$\beta $$ be the roots of the equation 5x2 + 6x – 2 = 0. If Sn = $$\alpha $$n + $$\beta $$n, n = 1

If R = {(x, y) : x, y $$ \in $$ Z, x2 + 3y2 $$ \le $$ 8} is a relation on the set of integers Z, then the domain of R–1

Let X = {x $$ \in $$ N : 1 $$ \le $$ x $$ \le $$ 17} and Y = {ax + b: x $$ \in $$ X and a, b $$ \in $$ R, a > 0}. If

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

The least count of the main scale of a vernier callipers is 1 mm. Its vernier scale is divided into 10 divisions and coi

A spherical mirror is obtained as shown in the figure from a hollow glass sphere. If an object is positioned in front o

In a reactor, 2 kg of 92U235 fuel is fully used up in 30 days. The energy released per fission is 200 MeV. Given that th

Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity $$\rho $$C, $$\rho $$T, $$\r

A particle of mass m with an initial velocity $$u\widehat i$$ collides perfectly elastically with a mass 3 m at rest. It

A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and th

The mass density of a spherical galaxy varies as $${K \over r}$$ over a large distance ‘r’ from its centre. In that regi

Train A and train B are running on parallel tracks in the opposite directions with speeds of 36 km/hour and 72 km/hour,

If speed V, area A and force F are chosen as fundamental units, then the dimension of Young’s modulus will be

A small block starts slipping down from a point B on an inclined plane AB, which is making an angle $$\theta $$ with th

A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a < R) by applying a force F at it

Shown in the figure is rigid and uniform one meter long rod AB held in horizontal position by two strings tied to its e

A bead of mass m stays at point P(a, b) on a wire bent in the shape of a parabola y = 4Cx2 and rotating with angular spe

Two identical strings X and Z made of same material have tension TX and TZ in them. If their fundamental frequencies are

Interference fringes are observed on a screen by illuminating two thin slits 1 mm apart with a light source ($$\lambda $

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the

A charged particle (mass m and charge q) moves along X-axis with velocity V0. When it passes through the origin it enter

A plane electromagnetic wave, has frequency of 2.0 $$ \times $$ 1010 Hz and its energy density is 1.02 $$ \times $$ 10–8

A 5 $$\mu $$F capacitor is charged fully by a 220 V supply. It is then disconnected from the supply and is connected in

A circular coil of radius 10 cm is placed in a uniform magnetic field of 3.0 $$ \times $$ 10–5 T with its plane perpendi

When radiation of wavelength $$\lambda $$ is used to illuminate a metallic surface, the stopping potential is V. When th

A beam of protons with speed 4 × 105 ms–1 enters a uniform magnetic field of 0.3 T at an angle of 60° to the magnetic fi

An engine takes in 5 moles of air at 20oC and 1 atm, and compresses it adiabatically to 1/10th of the original volume. A