The complex that can show fac- and mer-isomers is :

Arrange the following compounds in increasing order of C–OH bond length : methanol, phenol, p-ethoxyphenol

Among the gases (a) – (e), the gases that cause greenhouse effect are : (a) CO2 (b) H2O (c) CFCs (d) O2 (e) O3

A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below : The following infer

The third ionization enthalpy is minimum for :

When gypsum is heated to 393 K, it forms :

The major products A and B in the following reactions are :

As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the order :

The most suitable reagent for the given conversion is :

The predominant intermolecular forces present in ethyl acetate, a liquid, are:

The stoichiometry and solubility product of a salt with the solubility curve given below is, respectively :

The major product of the following reaction is :

A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63oC while the other boils at 6

The rate of a certain biochemical reaction at physiological temperature (T) occurs 106 times faster with enzyme than wit

The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that an appropria

For the Balmer series in the spectrum of H atom, $$\overline \nu = {R_H}\left\{ {{1 \over {n_1^2}} - {1 \over {n_2^2}}

The number of bonds between sulphur and oxygen atoms in S2O82- and the number of bonds between sulphur and sulphur atoms

Which of the following statement is not true for glucose?

The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are :

The decreasing order of reactivity towards dehydrohalogenation (E1) reaction of the following compounds is :

The volume (in mL) of 0.125 M AgNO3 required to quantitatively precipitate chloride ions in 0.3 g of [Co(NH3)6]Cl3 is __

The number of chiral centres in penicillin is _________.

What would be the electrode potential for the given half cell reaction at pH = 5? ______. 2H2O $$ \to $$ O2 + 4H$$ \oplu

Ferrous sulphate heptahydrate is used to fortify foods with iron. The amount (in grams) of the salt required to achieve

The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in the figure is ____

If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :

Let the line y = mx and the ellipse 2x2 + y2 = 1 intersect at a ponit P in the first quadrant. If the normal to this ell

Let ƒ : R $$ \to $$ R be such that for all x $$ \in $$ R (21+x + 21–x), ƒ(x) and (3x + 3–x) are in A.P., then the minim

Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1. If $${{dy} \over {dx}} = {1 \over 2}{d \over {dx}}\left( {{{\si

$$\mathop {\lim }\limits_{x \to 0} {\left( {{{3{x^2} + 2} \over {7{x^2} + 2}}} \right)^{{1 \over {{x^2}}}}}$$ is equal t

Let the volume of a parallelopiped whose coterminous edges are given by $$\overrightarrow u = \widehat i + \widehat j +

Let y = y(x) be a solution of the differential equation, $$\sqrt {1 - {x^2}} {{dy} \over {dx}} + \sqrt {1 - {y^2}} = 0$

Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of $$\Delta $$PAB = 5 sq. units and i

If the equation, x2 + bx + 45 = 0 (b $$ \in $$ R) has conjugate complex roots and they satisfy |z +1| = 2$$\sqrt {10} $$

The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 resepectively. Each of these 10 observations

For a > 0, let the curves C1 : y2 = ax and C2 : x2 = ay intersect at origin O and a point P. Let the line x = b (0 &l

Which one of the following is a tautology?

For which of the following ordered pairs ($$\mu $$, $$\delta $$), the system of linear equations x + 2y + 3z = 1 3x + 4y

If c is a point at which Rolle's theorem holds for the function, f(x) = $${\log _e}\left( {{{{x^2} + \alpha } \over {7x}

The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, inte

Let A and B be two independent events such that P(A) = $${1 \over 3}$$ and P(B) = $${1 \over 6}$$. Then, which of the fo

If $$\int {{{\cos xdx} \over {{{\sin }^3}x{{\left( {1 + {{\sin }^6}x} \right)}^{2/3}}}}} = f\left( x \right){\left( {1

The inverse function of f(x) = $${{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}$$, x $$ \in $$ (-1, 1), is :

The shortest distance between the lines $${{x - 3} \over 3} = {{y - 8} \over { - 1}} = {{z - 3} \over 1}$$ and $${{x + 3

Let ƒ(x) = xcos–1(–sin|x|), $$x \in \left[ { - {\pi \over 2},{\pi \over 2}} \right]$$, then which of the following is

The number of all 3 × 3 matrices A, with enteries from the set {–1, 0, 1} such that the sum of the diagonal elements of

The least positive value of 'a' for which the equation 2x2 + (a – 10)x + $${{33} \over 2}$$ = 2a has real roots is

The sum $$\sum\limits_{k = 1}^{20} {\left( {1 + 2 + 3 + ... + k} \right)} $$ is :

Let the normal at a point P on the curve y2 – 3x2 + y + 10 = 0 intersect the y-axis at $$\left( {0,{3 \over 2}} \right)$

An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be dr

Consider a solid sphere of radius R and mass density $$\rho \left( r \right) = {\rho _0}\left( {1 - {{{r^2}} \over {{R^2

Consider a uniform rod of mass M = 4m and length $$\ell $$ pivoted about its centre. A mass m moving with velocity v mak

When photon of energy 4.0 eV strikes the surface of a metal A, the ejected photoelectrons have maximum kinetic energy TA

Photon with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012 m/s2 by an applied magneti

The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4kg. (The coordinates of the

The plot that depicts the behavior of the mean free time t (time between two successive collisions) for the molecules of

Consider two solid spheres of radii R1 = 1m, R2 = 2m and masses M1 and M2, respectively. The gravitational field due to

In finding the electric field using Gauss Law the formula $$\left| {\overrightarrow E } \right| = {{{q_{enc}}} \over {{\

A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is : (Diagrams are

The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resis

The dimension of stopping potential V0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and

The magnifying power of a telescope with tube 60 cm is 5. What is the focal length of its eye piece ?

At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeab

Three charged particle A, B and C with charges –4q, 2q and –2q are present on the circumference of a circle of radius d.

Boolean relation at the output stage-Y for the following circuit is :

The graph which depicts the results of Rutherford gold foil experiment with $$\alpha $$-particales is : $$\theta $$ : Sc

A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically i

A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $$\ell $$. The

Four resistances of 15$$\Omega $$, 12$$\Omega $$, 4$$\Omega $$ and 10$$\Omega $$ respectively in cyclic order to form Wh

Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individual

A body A, of mass m = 0.1 kg has an initial velocity of 3$$\widehat i$$ ms-1 . It collides elastically with another body

A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved su

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the sp

A particle is moving along the x-axis with its coordinate with the time 't' given be x(t) = 10 + 8t – 3t2. Another parti