In the following the correct bond order sequence is :

Which one of the following metal complexes is most stable?

The ionic radii of F$$-$$ and O2$$-$$ respectively are 1.33$$\mathop A\limits^o $$ and 1.4$$\mathop A\limits^o $$, while

The correct decreasing order of densities of the following compounds is :

Consider the above reaction, the product "P" is :

A reaction of benzonitrile with one equivalent CH3MgBr followed by hydrolysis produces a yellow liquid "P". The compound

The spin only magnetic moments (in BM) for free Ti3+, V2+ and Sc3+ ions respectively are :(At.No. Sc : 21, Ti : 22, V :

Which one of the following is correct structure for cytosine?

Identify the species having one $$\pi$$-bond and maximum number of canonical forms from the following :

Which one of the following metals forms interstitial hydride easily?

Maleic anhydride can prepared by :

[where $$Et \Rightarrow - {C_2}{H_5}{}^tBu \Rightarrow {(C{H_3})_3}C - $$]Consider the above reaction sequence, Product

What is the major product "P" of the following reaction?

Identify the process in which change in the oxidation state is five :

Which among the following is the strongest acid ?

A system does 200 J of work and at the same time absorbs 150 J of heat. The magnitude of the change in internal energy i

An accelerated electron has a speed of 5 $$\times$$ 106 ms$$-$$1 with an uncertainty of 0.02%. The uncertainty in findin

Number of electrons present in 4f orbital of Ho3+ ion is ____________. (Given Atomic No. of Ho = 67)

Consider the above chemical reaction. The total number of stereoisomers possible for Product 'P' is _____________.

For a chemical reaction A $$\to$$ B, it was found that concentration of B is increased by 0.2 mol L$$-$$ in 30 min. The

Assuming that Ba(OH)2 is completely ionised in aqueous solution under the given conditions the concentration of H3O+ ion

0.8 g of an organic compound was analyzed by Kjeldahl's method for the estimation of nitrogen. If the percentage of nitr

When 3.00 g of a substance 'X' is dissolved in 100 g of CCl4, it raises the boiling point by 0.60 K. The molar mass of t

The sum of all those terms which are rational numbers in the expansion of (21/3 + 31/4)12 is :

The first of the two samples in a group has 100 items with mean 15 and standard deviation 3. If the whole group has 250

If $$f(x) = \left\{ {\matrix{ {\int\limits_0^x {\left( {5 + \left| {1 - t} \right|} \right)dt,} } & {x > 2} \

If the greatest value of the term independent of 'x' in the expansion of $${\left( {x\sin \alpha + a{{\cos \alpha } \ov

The value of $$\cot {\pi \over {24}}$$ is :

The lowest integer which is greater than $${\left( {1 + {1 \over {{{10}^{100}}}}} \right)^{{{10}^{100}}}}$$ is _________

The value of the integral $$\int\limits_{ - 1}^1 {\log \left( {x + \sqrt {{x^2} + 1} } \right)dx} $$ is :

Let a, b and c be distinct positive numbers. If the vectors $$a\widehat i + a\widehat j + c\widehat k,\widehat i+\wideha

If [x] be the greatest integer less than or equal to x, then $$\sum\limits_{n = 8}^{100} {\left[ {{{{{( - 1)}^n}n} \over

The number of distinct real roots of $$\left| {\matrix{ {\sin x} & {\cos x} & {\cos x} \cr {\cos x} &amp

If $$\left| {\overrightarrow a } \right| = 2,\left| {\overrightarrow b } \right| = 5$$ and $$\left| {\overrightarrow a

The number of real solutions of the equation, x2 $$-$$ |x| $$-$$ 12 = 0 is :

Consider function f : A $$\to$$ B and g : B $$\to$$ C (A, B, C $$ \subseteq $$ R) such that (gof)$$-$$1 exists, then :

If $$P = \left[ {\matrix{ 1 & 0 \cr {{1 \over 2}} & 1 \cr } } \right]$$, then P50 is :

Let X be a random variable such that the probability function of a distribution is given by $$P(X = 0) = {1 \over 2},P(X

If $${}^n{P_r} = {}^n{P_{r + 1}}$$ and $${}^n{C_r} = {}^n{C_{r - 1}}$$, then the value of r is equal to :

Let y = y(x) be the solution of the differential equation xdy = (y + x3 cosx)dx with y($$\pi$$) = 0, then $$y\left( {{\p

Consider the functionwhere P(x) is a polynomial such that P'' (x) is always a constant and P(3) = 9. If f(x) is continuo

The equation of a circle is Re(z2) + 2(Im(z))2 + 2Re(z) = 0, where z = x + iy. A line which passes through the center of

If $$\left( {\overrightarrow a + 3\overrightarrow b } \right)$$ is perpendicular to $$\left( {7\overrightarrow a - 5\o

If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a4 + b4 + c4 is equal to ______________.

A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. Then the minimum v

If the co-efficient of x7 and x8 in the expansion of $${\left( {2 + {x \over 3}} \right)^n}$$ are equal, then the value

The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The

In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the pa

A force $$\overrightarrow F = (40\widehat i + 10\widehat j)N$$ acts on a body of mass 5 kg. If the body starts from res

A prism of refractive index $$\mu$$ and angle of prism A is placed in the position of minimum angle of deviation. If min

Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with

A 10 $$\Omega$$ resistance is connected across 220V $$-$$ 50 Hz AC supply. The time taken by the current to change from

A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon whe

If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constan

Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average densit

Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their c

Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a

The force is given in terms of time t and displacement x by the equation F = A cos Bx + C sin DtThe dimensional formula

An electron moving with speed v and a photon moving with speed c, have same D-Broglie wavelength. The ratio of kinetic e

The instantaneous velocity of a particle moving in a straight line is given as $$V = \alpha t + \beta {t^2}$$, where $$\

A ray of light entering from air into a denser medium of refractive index $${4 \over 3}$$, as shown in figure. The light

When radiation of wavelength $$\lambda$$ is incident on a metallic surface, the stopping potential of ejected photoelect

Two vectors $$\overrightarrow X $$ and $$\overrightarrow Y $$ have equal magnitude. The magnitude of ($$\overrightarrow

A system consists of two types of gas molecules A and B having same number density 2 $$\times$$ 1025/m3. The diameter of

A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of

A 16 $$\Omega$$ wire is bend to form a square loop. A 9V supply having internal resistance of 1$$\Omega$$ is connected a

Two circuits are shown in the figure (a) & (b). At a frequency of ____________ rad/s the average power dissipated in

From the given data, the amount of energy required to break the nucleus of aluminium $$_{13}^{27}$$Al is __________ x $$

A force of F = (5y + 20)$$\widehat j$$ N acts on a particle. The work done by this force when the particle is moved from

A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its

In a semiconductor, the number density of intrinsic charge carries at 27$$^\circ$$C is 1.5 $$\times$$ 1016/m3. If the se