The electrons identified by quantum numbers n and l : (a) n = 4, $$l$$ = 1 (b) n = 4, $$ l$$ = 0 (c) n = 3, $$l$$ = 2 (d

The increasing order of the ionic radii of the given isoelectronic species is :

Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :

In which of the following pairs the two species are not isostructural ?

The incorrect expression among the following is :

The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :

The equilibrium constant (KC) for the reaction N2(g) + O2(g) $$\to$$ 2NO(g) at temperature T is 4 $$\times$$ 10–4. The v

Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of mono substituted alkyl h

2–Hexyne gives trans–2–Hexene on treatment with :

The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is 1.15 g/mL. The m

Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of ethylene glycol (C2

The standard reduction potentials for Zn2+/ Zn, Ni2+/ Ni, and Fe2+/ Fe are –0.76, –0.23 and –0.44 V respectively. The re

For a first order reaction, (A) $$\to$$ products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. Th

The molecule having smallest bond angle is :

Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?

Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?

How many chiral compounds are possible on monochlorination of 2–methyl butane ?

What is DDT among the following?

Iodoform can be prepared from all except :

Which of the following compounds can be detected by Molisch’s test ?

Which one of the following statements is correct ?

In the given transformation, which of the following is the most appropriate reagent ?

If $$z \ne 1$$ and $$\,{{{z^2}} \over {z - 1}}\,$$ is real, then the point represented by the complex number z lies :

The equation $${e^{\sin x}} - {e^{ - \sin x}} - 4 = 0$$ has:

Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can b

If $$n$$ is a positive integer, then $${\left( {\sqrt 3 + 1} \right)^{2n}} - {\left( {\sqrt 3 - 1} \right)^{2n}}$$ is

If the line $$2x + y = k$$ passes through the point which divides the line segment joining the points $$(1, 1)$$ and $$(

The length of the diameter of the circle which touches the $$x$$-axis at the point $$(1, 0)$$ and passes through the poi

An ellipse is drawn by taking a diameter of thec circle $${\left( {x - 1} \right)^2} + {y^2} = 1$$ as its semi-minor axi

A spherical balloon is filled with $$4500\pi $$ cubic meters of helium gas. If a leak in the balloon causes the gas to e

Let $$a,b \in R$$ be such that the function $$f$$ given by $$f\left( x \right) = In\left| x \right| + b{x^2} + ax,\,x \n

A line is drawn through the point $$(1, 2)$$ to meet the coordinate axes at $$P$$ and $$Q$$ such that it forms a triang

If the $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - 2\cos x} \right| + k,} $$ then $$a$$ is

The area between the parabolas $${x^2} = {y \over 4}$$ and $${x^2} = 9y$$ and the straight line $$y=2$$ is :

If $$g\left( x \right) = \int\limits_0^x {\cos 4t\,dt,} $$ then $$g\left( {x + \pi } \right)$$ equals

The population $$p$$ $$(t)$$ at time $$t$$ of a certain mouse species satisfies the differential equation $${{dp\left( t

Three numbers are chosen at random without replacement from $$\left\{ {1,2,3,..8} \right\}.$$ The probability that their

Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two unit vectors. If the vectors $$\,\overrightarrow c = \wide

If the line $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $${{x - 3} \over 1} = {{y - k} \over 2} =

Let $$ABCD$$ be a parallelogram such that $$\overrightarrow {AB} = \overrightarrow q ,\overrightarrow {AD} = \overrigh

Consider the function, $$f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R$$ Statement - 1 : $

If $$f:R \to R$$ is a function defined by $$f\left( x \right) = \left[ x \right]\cos \left( {{{2x - 1} \over 2}} \right)

Let x1, x2,........., xn be n observations, and let $$\overline x $$ be their arithematic mean and $${\sigma ^2}$$ be th

Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y $$ \subseteq $$ X,

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference applied across

A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading: 58.5 degree Ve

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they mak

A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy can throw the same

This question has Statement $$1$$ and Statement $$2.$$ Of the four choices given after the Statements, choose the one th

The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth's surface out into free space. The value

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $$1.5 \times {10^{ - 2}}\,\,N$

Helium gas goes through a cycle $$ABCD$$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency

A wooden wheel of radius $$R$$ is made of two semicircular part (see figure). The two parts are held together by a ring

A cylindrical tube, open at both ends, has a fundamental frequency, $$f,$$ in air. The tube is dipped vertically in wate

In a uniformly charged sphere of total charge $$Q$$ and radius $$R,$$ the electric field $$E$$ is plotted as function of

This question has statement- $$1$$ and statement- $$2.$$ Of the four choices given after the statements, choose the one

Two electric bulbs marked $$25W$$ $$-$$ $$220$$ $$V$$ and $$100W$$ $$-$$ $$220V$$ are connected in series to a $$440$$ $

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic fi

A charge $$Q$$ is uniformly distributed over the surface of non-conducting disc of radius $$R.$$ The disc rotates about

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. Whe

In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is

An electromagnetic wave in vacuum has the electric and magnetic field $$\mathop E\limits^ \to $$and $$\mathop B\limits^

An object $$2.4$$ $$m$$ in front of a lens forms a sharp image on a film $$12$$ $$cm$$ behind the lens. A glass plate $

Hydrogen atom is excited from ground state to another state with principal quantum number equal to $$4.$$ Then the numbe

Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (mass of neutr

A diatomic molecule is made of two masses $${m_1}$$ and $${m_2}$$ which are separated by a distance $$r.$$ If we calcula

Truth table for system of four $$NAND$$ gates as shown in figure is:

A particle of mass $$m$$ is at rest at the origin at time $$t=0.$$ It is subjected to a force $$F\left( t \right) = {F_0

The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $$\tau $$ of t