In a complexometric titration of metal ion with ligand M(Metal ion) + L(Ligand) $$ \to $$ C(Complex) end point is esti

The major product of the following reaction is :

The most polar compound among the following is :

The major product B formed in the following reaction sequence is :

The major product of the following reaction is :

The major product of the following reaction is :

Products A and B formed in the following reactions are respectively :

If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 secod, the order of this reaction is :

For which of the following processes, $$\Delta $$S is negative ?

When 9.65 ampere current was passed for 1.0 hour into nitrobenzene in acidic medium, the amount of p-aminophenol produce

An unknown chlorohydrocarbon has 3.55% of chlorine. If each molecule of the hydrocarbon has one chlorine atom only; chlo

The gas phase reaction 2NO2(g) $$ \to $$ N2O4(g) is an exothermic reaction. The decomposition of N2O4, in equilibrium

Which of the following compounds will most readily be dehydrated to give alkene under acidic condition ?

The incorrect geometry is represented by :

Among the following, the incorrect statement is :

For standardizing NaOH solution, which of the following is used as a primary standard ?

When XO2 is fused with an alkali metal hydroxide in presence of an oxidizing agent such as KNO3 ; a dark green product

Which of the following conversions involves change in both shape and hybridisation ?

Which of the following complexes will shows geometrical isomerism ?

In Wilkinson's catalyst, the hybridization of central metal ion and its shape are respectively :

The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol-1 ) needed to be dissolved in 114 g octane to

The incorrect statement is :

At 320 K, a gas A2 is 20% dissociated to A(g). The standard free energy change at 320 K and 1 atm in J mol-1 is approxim

Which of the following statements is false ?

Let A = $$\left[ {\matrix{ 1 & 0 & 0 \cr 1 & 1 & 0 \cr 1 & 1 & 1 \cr } } \right

If $$f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,} $$ then :

If $$\int {{{\tan x} \over {1 + \tan x + {{\tan }^2}x}}dx = x - {K \over {\sqrt A }}{{\tan }^{ - 1}}} $$ $$\left( {{{K\,

If $$x = \sqrt {{2^{\cos e{c^{ - 1}}}}} $$ and $$y = \sqrt {{2^{se{c^{ - 1}}t}}} \,\,\left( {\left| t \right| \ge 1} \ri

If the function f defined as $$f\left( x \right) = {1 \over x} - {{k - 1} \over {{e^{2x}} - 1}},x \ne 0,$$ is continuou

Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x3 $$-$$ 9x2

Let $${1 \over {{x_1}}},{1 \over {{x_2}}},...,{1 \over {{x_n}}}\,\,$$ (xi $$ \ne $$ 0 for i = 1, 2, ..., n) be in A.P. s

$$\mathop {\lim }\limits_{x \to 0} \,\,{{{{\left( {27 + x} \right)}^{{1 \over 3}}} - 3} \over {9 - {{\left( {27 + x} \ri

The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is

The number of values of k for which the system of linear equations, (k + 2)x + 10y = k kx + (k +3)y = k -1 has no solu

If the area of the region bounded by the curves, $$y = {x^2},y = {1 \over x}$$ and the lines y = 0 and x= t (t >1) is

Let N denote the set of all natural numbers. Define two binary relations on N as R = {(x, y) $$ \in $$ N $$ \times $$ N

Let p, q and r be real numbers (p $$ \ne $$ q, r $$ \ne $$ 0), such that the roots of the equation $${1 \over {x + p}}

The least positive integer n for which $${\left( {{{1 + i\sqrt 3 } \over {1 - i\sqrt 3 }}} \right)^n} = 1,$$ is :

Two different families A and B are blessed with equal numbe of children. There are 3 tickets to be distributed amongst t

If an angle A of a $$\Delta $$ABC satiesfies 5 cosA + 3 = 0, then the roots of the quadratic equation, 9x2 + 27x + 20 =

The mean and the standard deviation(s.d.) of five observations are9 and 0, respectively. If one of the observations is c

Let A, B and C be three events, which are pair-wise independent and $$\overrightarrow E $$ denotes the completement of a

Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow c = \widehat j - \widehat k$$ and a vec

If the angle between the lines, $${x \over 2} = {y \over 2} = {z \over 1}$$ and $${{5 - x} \over { - 2}} = {{7y - 14} \

If the length of the latus rectum of an ellipse is 4 units and the distance between a focus an its nearest vertex on the

If a circle C, whose radius is 3, touches externally the circle, $${x^2} + {y^2} + 2x - 4y - 4 = 0$$ at the point (2, 2

The locus of the point of intersection of the lines, $$\sqrt 2 x - y + 4\sqrt 2 k = 0$$ and $$\sqrt 2 k\,x + k\,y - 4\sq

A galvanometer with its coil resistance 25 $$\Omega $$ requires a current of 1 mA for its full deflection. In order to c

Both the nucleus and the atom of some element arein their respective first excited states. They get de-excted by emittin

The de-Broglie wavelength ($$\lambda $$B) associated with the electron orbiting in the second excited state of hydrogen

Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent

A ray of light is incident at an angle of 60o on one face of a prism of angle 30o. The emergent ray of light makes an a

A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity $$\omega $

A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angu

A plane electromagnetic wave of wavelength $$\lambda $$ has an intensity I. It is propagatting along the positive Y-dir

A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 t

Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their d

A heating element has a resistance of 100 $$\Omega $$ at room temperature. When it is connected to a supply of 220 V, a

The end correction of a resonance column is 1 cm. If the shortest length resonating with the tunning fork is 10 cm, the

Two moles of helium are mixed with n moles of hydrogen. If $${{Cp} \over {Cv}} = {3 \over 2}$$ for the mixture, then th

A particle executes simple harmonic motion and is located at x = a, b and c at times t0, 2t0 and 3t0 respectively. The

A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let P2 be the pr

An oscillator of mass M is at rest in its equilibrium position in a potential V = $${1 \over 2}$$ k(x $$-$$ X)2. A par

The relative uncertainly in the period of a satellite orbiting around the earth is 10-2. If the relative uncertainty in

Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence :

Two particles of the same mass m are moving in circular orbits because of force, given by $$F\left( r \right) = {{ - 16}

A body of mass m starts moving from rest along x-axis so that its velocity varies as $$\upsilon = a\sqrt s $$ where a i

Let $$\overrightarrow A $$ = $$\left( {\widehat i + \widehat j} \right)$$ and, $$\overrightarrow B = \left( {2\widehat

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physica

One mole of an ideal monoatomic gas is taken along the path ABCA as show in the PV diagram. The maximum temperature atta

In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C1 as a function of time will be

A thin circular disk is in the xy plane as shown in the figure. The ratio of its moment of inertia about z and z' axes w

In the given circuit, the current through zener diode is :

In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistan