Among the following compounds, which one has the shortest C – Cl bond?

The processes of calcination and roasting in metallurgical industries, respectively, can Iead to :

The incorrect statement(s) among (a) - (c) is (are) (a) W(VI) is more stable than Cr(VI). (b) In the presence of HCl, pe

The process that is NOT endothermic in nature is :

The Crystal Field Stabilization Energy (CFSE) of [CoF3(H2O)3] ($$\Delta $$0 < P) is :

In the following reaction sequence, [C] is :

The one that can exhibit highest paramagnetic behaviour among the following is : gly = glycinato; bpy = 2, 2'-bipyridine

The reaction in which the hybridisation of the underlined atom is affected is :

If the equilibrium constant for A ⇌ B + C is $$K_{eq}^{(1)}$$ and that of B + C ⇌ P is $$K_{eq}^{(2)}$$, the equilibrium

An alkaline earth metal ‘M’ readily forms water soluble sulphate and water insoluble hydroxide. Its oxide MO is very sta

The major product [B] in the following reactions is :

Five moles of an ideal gas at 1 bar and 298 K is expanded into vacuum to double the volume. The work done is :

The shortest wavelength of H atom in the Lyman series is $$\lambda $$1. The longest wavelength in the Balmar series of H

250 mL of a waste solution obtained from the workshop of a goldsmith contains 0.1 M AgNO3 and 0.1 M AuCl. The solution w

The major product [C] of the following reaction sequence will be :

A sample of red ink (a colloidal suspension) is prepared by mixing eosin dye, egg white, HCHO and water. The component w

The molecule in which hybrid MOs involve only one d-orbital of the central atom is :

The major product [R] in the following sequence of reactions as :

Which of the following compounds will form the precipitate with aq. AgNO3 solution most readily?

The mechanism of action of ''Terfenadine'' (Seldane) is :

Consider the following equations : 2Fe2+ + H2O2 $$ \to $$ xA + yB (in basic medium) 2MnO4- + 6H+ + 5H2O2 $$ \to $$ x'C

The number of chiral centres present in threonine is ________.

The number of molecules with energy greater than the threshold energy for a reaction increases five fold by a rise of te

The osmotic pressure of a solution of NaCl is 0.10 atm and that of a glucose solution is 0.20 atm. The osmotic pressure

A 100 mL solution was made by adding 1.43 g of Na2CO3.xH2O. The normality of the solution is 0.1 N. The value of x is __

If a and b are real numbers such that $${\left( {2 + \alpha } \right)^4} = a + b\alpha $$ where $$\alpha = {{ - 1 + i\s

Suppose the vectors x1, x2 and x3 are the solutions of the system of linear equations, Ax = b when the vector b on the r

The distance of the point (1, –2, 3) from the plane x – y + z = 5 measured parallel to the line $${x \over 2} = {y \over

If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3) has y-intercept equal to –4, th

Contrapositive of the statement : ‘If a function f is differentiable at a, then it is also continuous at a’, is:

The minimum value of 2sinx + 2cosx is:

Let $$f:\left( {0,\infty } \right) \to \left( {0,\infty } \right)$$ be a differentiable function such that f(1) = e and

The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the x-axis and vertices C and D lie

The integral $$\int\limits_{{\pi \over 6}}^{{\pi \over 3}} {{{\tan }^3}x.{{\sin }^2}3x\left( {2{{\sec }^2}x.{{\sin }^2

If the system of equations x+y+z=2 2x+4y–z=6 3x+2y+$$\lambda $$z=$$\mu $$ has infinitely many solutions, then

In a game two players A and B take turns in throwing a pair of fair dice starting with player A and total of scores on t

The function $$f(x) = \left\{ {\matrix{ {{\pi \over 4} + {{\tan }^{ - 1}}x,} & {\left| x \right| \le 1} \cr

If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1 + x)n + 5 ar

The solution of the differential equation $${{dy} \over {dx}} - {{y + 3x} \over {{{\log }_e}\left( {y + 3x} \right)}} +

Let $$\lambda \ne 0$$ be in R. If $$\alpha $$ and $$\beta $$ are the roots of the equation, x2 - x + 2$$\lambda $$ = 0

Let $$\mathop \cup \limits_{i = 1}^{50} {X_i} = \mathop \cup \limits_{i = 1}^n {Y_i} = T$$ where each Xi contains 10

The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the i

Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is $${1 \over 2}$$. If P(1, $$

Let a1, a2, ..., an be a given A.P. whose common difference is an integer and Sn = a1 + a2 + .... + an. If a1 = 1, an =

The circle passing through the intersection of the circles, x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on

Let {x} and [x] denote the fractional part of x and the greatest integer $$ \le $$ x respectively of a real number x. If

Let PQ be a diameter of the circle x2 + y2 = 9. If $$\alpha $$ and $$\beta $$ are the lengths of the perpendiculars from

If $$\overrightarrow a = 2\widehat i + \widehat j + 2\widehat k$$, then the value of $${\left| {\widehat i \times \lef

If the variance of the following frequency distribution : Class         : 10–20

A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The numb

A circular coil has moment of inertia 0.8 kg m2 around any diameter and is carrying current to produce a magnetic momen

A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Ther

A small ball of mass m is thrown upward with velocity u from the ground. The ball experiences a resistive force mkv2 wh

The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from 420 Hz to 490 Hz wh

Match the thermodynamic processes taking place in a system with the correct conditions. In the table : $$\Delta $$Q is t

Consider two uniform discs of the same thickness and different radii R1 = R and R2 = $$\alpha $$R made of the same mat

A series L-R circuit is connected to a battery of emf V. If the circuit is switched on at t = 0, then the time at which

The electric field of a plane electromagnetic wave is given by $$\overrightarrow E = {E_0}\left( {\widehat x + \widehat

A cube of metal is subjected to a hydrostatic pressure of 4 GPa. The percentage change in the length of the side of the

A paramagnetic sample shows a net magnetisation of 6 A/m when it is placed in an external magnetic field of 0.4 T at a t

A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to

A particle of charge q and mass m is subjected to an electric field E = E0 (1 – $$a$$x2) in the x-direction, where $$a$

A capacitor C is fully charged with voltage V0. After disconnecting the voltage source, it is connected in parallel with

Find the Binding energy per neucleon for $${}_{50}^{120}Sn$$. Mass of proton mp = 1.00783 U, mass of neutron mn = 1.00

Two identical cylindrical vessels are kept on the ground and each contain the same liquid of density d. The area of the

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the

The value of current i1 flowing from A to C in the circuit diagram is :

The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during

A quantity x is given by $$\left( {{{IF{v^2}} \over {W{L^4}}}} \right)$$ in terms of moment of inertia I, force F, veloc

Four resistances 40 $$\Omega $$, 60 $$\Omega $$, 90 $$\Omega $$ and 110 $$\Omega $$ make the arms of a quadrilateral ABC

Identify the operation performed by the circuit given below :

In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is show

The change in the magnitude of the volume of an ideal gas when a small additional pressure $$\Delta $$P is applied at a

Orange light of wavelength 6000 $$ \times $$ 10–10 m illuminates a single slit of width 0.6 $$ \times $$ 10–4 m. The max

The distance between an object and a screen is 100 cm. A lens can produce real image of the object on the screen for two