Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an e

The pair, in which ions are isoelectronic with AI3+ is :

Number of electron deficient molecules among the following PH3, B2H6, CCl4, NH3, LiH and BCl3 is

White precipitate of AgCl dissolves in aqueous ammonia solution due to formation of :

Cerium (IV) has a noble gas configuration. Which of the following is correct statement about it?

Among the following, which is the strongest oxidizing agent?

Phenol on reaction with dilute nitric acid, gives two products. Which method will be most efficient for large scale sepa

In the following structures, which on is having staggered conformation with maximum dihedral angle?

The product formed in the following reaction.

The IUPAC name of ethylidene chloride is :

The major product in the reaction

The intermediate X, in the reaction :

In the following reaction : The compounds A and B respectively are :

The reaction of with bromine and KOH gives RNH2 as the end product. Which one of the following is the intermediate prod

The number of N atoms in 681 g of C7H5N3O6 is x $$\times$$ 1021. The value of x is (NA = 6.02 $$\times$$ 1023 mol$$-$$1)

The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x $$\tim

The standard entropy change for the reaction 4Fe(s) + 3O2(g) $$\to$$ 2Fe2O3(s) is $$-$$550 J K$$-$$1 at 298 K. [Given :

1 L aqueous solution of H2SO4 contains 0.02 m mol H2SO4. 50% of this solution is diluted with deionized water to give 1

The standard free energy change ($$\Delta$$G$$^\circ$$) for 50% dissociation of N2O4 into NO2 at 27$$^\circ$$C and 1 atm

In a cell, the following reactions take place $$\matrix{ {F{e^{2 + }} \to F{e^{3 + }} + {e^ - }} & {E_{F{e^{3 + }}/F{

For a given chemical reaction $$\gamma$$1A + $$\gamma$$2B $$\to$$ $$\gamma$$3C + $$\gamma$$4D Concentration of C changes

If [Cu(H2O)4]2+ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field spli

Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is ___________ $$\times$$ 10$$-$$2 g. (At

The value of $$\int\limits_0^\pi {{{{e^{\cos x}}\sin x} \over {(1 + {{\cos }^2}x)({e^{\cos x}} + {e^{ - \cos x}})}}dx}

Let f : N $$\to$$ R be a function such that $$f(x + y) = 2f(x)f(y)$$ for natural numbers x and y. If f(1) = 2, then the

Let A be a 3 $$\times$$ 3 real matrix such that $$A\left( {\matrix{ 1 \cr 1 \cr 0 \cr } } \right) = \le

Let f : R $$\to$$ R be defined as $$f(x) = {x^3} + x - 5$$. If g(x) is a function such that $$f(g(x)) = x,\forall 'x' \i

If $${1 \over {2\,.\,{3^{10}}}} + {1 \over {{2^2}\,.\,{3^9}}} + \,\,.....\,\, + \,\,{1 \over {{2^{10}}\,.\,3}} = {K \ove

Let f(x) be a polynomial function such that $$f(x) + f'(x) + f''(x) = {x^5} + 64$$. Then, the value of $$\mathop {\lim }

Let E1 and E2 be two events such that the conditional probabilities $$P({E_1}|{E_2}) = {1 \over 2}$$, $$P({E_2}|{E_1}) =

Let $$A = \left[ {\matrix{ 0 & { - 2} \cr 2 & 0 \cr } } \right]$$. If M and N are two matrices given by $$M

Let $$g:(0,\infty ) \to R$$ be a differentiable function such that $$\int {\left( {{{x(\cos x - \sin x)} \over {{e^x} +

Let $$f:R \to R$$ and $$g:R \to R$$ be two functions defined by $$f(x) = {\log _e}({x^2} + 1) - {e^{ - x}} + 1$$ and $$g

Let $$\overrightarrow a = {a_1}\widehat i + {a_2}\widehat j + {a_3}\widehat k$$ $${a_i} > 0$$, $$i = 1,2,3$$ be a vecto

Let $$y = y(x)$$ be the solution of the differential equation $$(x + 1)y' - y = {e^{3x}}{(x + 1)^2}$$, with $$y(0) = {1

If the solution curve $$y = y(x)$$ of the differential equation $${y^2}dx + ({x^2} - xy + {y^2})dy = 0$$, which passes t

Let $$x = 2t$$, $$y = {{{t^2}} \over 3}$$ be a conic. Let S be the focus and B be the point on the axis of the conic suc

Let a circle C in complex plane pass through the points $${z_1} = 3 + 4i$$, $${z_2} = 4 + 3i$$ and $${z_3} = 5i$$. If $$

The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is _____________.

Let $$\theta$$ be the angle between the vectors $$\overrightarrow a $$ and $$\overrightarrow b $$, where $$|\overrightar

Let the abscissae of the two points P and Q be the roots of $$2{x^2} - rx + p = 0$$ and the ordinates of P and Q be the

Let $$f:R \to R$$ be a function defined by $$f(x) = {\left( {2\left( {1 - {{{x^{25}}} \over 2}} \right)(2 + {x^{25}})} \

Let A be a 3 $$\times$$ 3 matrix having entries from the set {$$-$$1, 0, 1}. The number of all such matrices A having su

If $$Z = {{{A^2}{B^3}} \over {{C^4}}}$$, then the relative error in Z will be :

$$\overrightarrow A $$ is a vector quantity such that $$|\overrightarrow A |$$ = non-zero constant. Which of the followi

Which of the following relations is true for two unit vector $$\widehat A$$ and $$\widehat B$$ making an angle $$\theta$

If force $$\overrightarrow F = 3\widehat i + 4\widehat j - 2\widehat k$$ acts on a particle position vector $$2\widehat

The height of any point P above the surface of earth is equal to diameter of earth. The value of acceleration due to gra

The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

The relation between root mean square speed (vrms) and most probable sped (vp) for the molar mass M of oxygen gas molecu

In the figure, a very large plane sheet of positive charge is shown. P1 and P2 are two points at distance l and 2l from

Match List-I with List-II. .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-style:sol

A long straight wire with a circular cross-section having radius R, is carrying a steady current I. The current I is uni

If wattless current flows in the AC circuit, then the circuit is :

The electric field in an electromagnetic wave is given by E = 56.5 sin $$\omega$$(t $$-$$ x/c) NC$$-$$1. Find the intens

The two light beams having intensities I and 9I interfere to produce a fringe pattern on a screen. The phase difference

A light wave travelling linearly in a medium of dielectric constant 4, incidents on the horizontal interface separating

The ratio for the speed of the electron in the 3rd orbit of He+ to the speed of the electron in the 3rd orbit of hydroge

The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode becaus

The difference of speed of light in the two media A and B (vA $$-$$ vB) is 2.6 $$\times$$ 107 m/s. If the refractive ind

A teacher in his physics laboratory allotted an experiment to determine the resistance (G) of a galvanometer. Students t

A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table.

A 0.5 kg block moving at a speed of 12 ms$$-$$1 compresses a spring through a distance 30 cm when its speed is halved. T

The velocity of upper layer of water in a river is 36 kmh$$-$$1. Shearing stress between horizontal layers of water is 1

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the

The equivalent capacitance between points A and B in below shown figure will be __________ $$\mu$$F.

A resistor develops 300 J of thermal energy in 15 s, when a current of 2 A is passed through it. If the current increase

The total current supplied to the circuit as shown in figure by the 5 V battery is ____________ A.

The current in a coil of self inductance 2.0 H is increasing according to I = 2 sin(t2) A. The amount of energy spent du

A force on an object of mass 100 g is $$\left( {10\widehat i + 5\widehat j} \right)$$ N. The position of that object at