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

On heating compound (A) gives a gas (B) which is a constituent of air. This gas when treated with H2 in the presence of

The major product in the following reaction is :

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

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

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

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

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

Which one of the following graphs is not correct for ideal gas? d = Density, P = Pressure, T = Temperature

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

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

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

The IUPAC name for the following compound is

Which of the following is used for the preparation of colloids?

The statement that is not true about ozone is :

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

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

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

The metal mainly used in devising photoelectric cells is :

The increasing order of the following compounds towards HCN addition 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 mass of gas adsorbed, x, per unit mass of adsorbate, m, was measured at various pressures, p. A graph between $$\log

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

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

If |x| < 1, |y| < 1 and x $$ \ne $$ y, then the sum to infinity of the following series (x + y) + (x2+xy+y2) + (x3

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

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

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

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

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

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

The contrapositive of the statement "If I reach the station in time, then I will catch the train" is :

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

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 P(h, k) be a point on the curve y = x2 + 7x + 2, nearest to the line, y = 3x – 3. Then the equation of the normal t

The plane passing through the points (1, 2, 1), (2, 1, 2) and parallel to the line, 2x = 3y, z = 1 also passes through t

If the tangent to the curve y = x + sin y at a point (a, b) is parallel to the line joining $$\left( {0,{3 \over 2}} \ri

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

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

A line parallel to the straight line 2x – y = 0 is tangent to the hyperbola $${{{x^2}} \over 4} - {{{y^2}} \over 2} = 1

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

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

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

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

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

The number of integral values of k for which the line, 3x + 4y = k intersects the circle, x2 + y2 – 2x – 4y + 4 = 0 at

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

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

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

An amplitude modulated wave is represented by the expression vm = 5(1 + 0.6 cos 6280t) sin(211 × 104 t) volts The minimu

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

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

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

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

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 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

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

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

Magnetic materials used for making permanent magnets (P) and magnets in a transformer (T) have different properties of t

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

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

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

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

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

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

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

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

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

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

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

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

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