If an endothermic reaction is non-spontaneous at freezing point of water and becomes feasible at its boiling point, then

For the reactions 2C + O2 $$\to$$ 2CO2; $$\Delta H$$ = -393 J 2Zn + O2 $$\to$$ 2ZnO; $$\Delta H$$ = -412 J

The heat required to raise the temperature of body by 1 K is called :

A heat engine absorbs heat Q1 at temperature T1 and heat Q2 at temperature T2. Work done by the engine is J (Q1 + Q2). T

1 M NaCL and 1 M HCL are present in an aqueous solution. The solution is

Let the solubility of an aqueous solution of Mg(OH)2 be x then its Ksp is :

Species acting as both Bronsted acid and base is :

Change in volume of the system does not alter which of the following equilibria?

For the reaction CO (g) + (1/2) O2 (g) $$\leftrightharpoons$$ CO2 (g), Kp/Kc is :

A similarity between optical and geometrical isomerism is that

The functional group, which is found in amino acid is

Which of the following does not show geometrical isomerism?

Arrangement of (CH3)3C-, (CH3)2CH-, CH3-CH2- when attached to benzyl or an unsaturated group in increasing order of indu

In which of the following species is the underlined carbon having sp3 hybridisation?

The reaction : $${(CH)_3}C - Br\buildrel {{H_2}O} \over \longrightarrow {(CH)_3}C - OH$$

Racemic mixture is formed by mixing two

Which of these will not react with acetylene ?

What is the product when acetylene reacts with hypochlorous acid ?

In a mixture of A and B, components show negative deviation when :

Freezing point of an aqueous solution is (-0.186)oC. Elevation of boiling point of the same solution is Kb = 0.512 oC, K

RNA is different from DNA because RNA contains

How do we differentiate between Fe3+ and Cr3+ in group III?

When primary amine reacts with chloroform in ethanoic KOH then the product is

Which of the following compounds has wrong $$IUPAC$$ name ?

Following types of compounds (as $$I, II$$ ) are studied in terms of isomerism in :

The correct order of ionic radius is

$$C{e^{ + 3}},\,\,L{a^{ + 3}},\,\,P{m^{ + 3}}\,\,$$ and $$Y{b^{ + 3}}\,\,$$ have ionic radial in the increasing order

Picric acid is :

The type isomerism present in nitropentammine chromium $$\left( {{\rm I}{\rm I}{\rm I}} \right)$$ chloride is :

Conductivity (Seimen’s S) is directly proportional to area of the vessel and the concentration of the solution in it and

For the following cell with hydrogen electrodes at two different pressure p1 and p2. What will be the emf for the given

EMF of a cell in terms of reduction potential of its left and right electrodes is :

Which of the following reaction is possible at anode?

When the sample of copper with zinc impurity is to be purified by electrolysis, the appropriate electrodes are :

Which of the following is a redox reaction ?

Units of rate constant of first and zero order reactions in terms of molarity M unit are respectively

For the reaction A + 2B $$\to$$ C, rate is given by R = [A] [B]2 then the order of the reaction is

The differential rate law for the reaction H2 + I2 $$\to$$ 2HI is

If half-life of a substance is 5 yrs, then the total amount of substance left after 15 years, when initial amount is 64

$$\beta$$ - particle is emitted in radioactivity by

The integrated rate equation is Rt = log C0 - log Ct . The straight line graph is obtained by plotting

Which of the following statements is true?

Oxidation number of Cl in CaOCl2 (bleaching powder) is :

When KMnO4 acts as an oxidising agent and ultimately forms [MnO4]-2, MnO2, Mn2O3, Mn+2 then the number of electrons tran

Which of the following ions has the maximum magnetic moment?

Most common oxidation states of Ce (cerium) are :

A square planar complex is formed by hybridisation of which atomic orbitals ?

The most stable ion is :

CH3 - Mg - Br is an organometallic compound due to :

What is B?

With increase of temperature, which of these changes?

In a compound C, H and N atoms are present in 9 : 1 : 3.5 by weight . Molecular weight of the compound is 108 g mol-1 .

Number of atoms in 558.5 gram Fe (at. wt. of Fe = 55.85 g mol-1) is

Uncertainty in position of a minute particle of mass 25 g in space is 10-5 m. What is the uncertainty in its velocity (i

In a hydrogen atom, if energy of an electron in ground state is -13.6 eV, then that in the 2nd excited state is

In which of the following species the interatomic bond angle is 109o28' ?

Hybridisation of underline atom changes in

Which of the following are arranged in an increasing order of their bond strengths?

Acetylene does not react with :

For a cell given below $$ \begin{aligned} \mathrm{Ag}^{+}+\mathrm{e}^{-} & \longrightarrow \mathrm{Ag}; E^{\circ}=x

f(x) and g(x) are two differentiable functions on [0, 2] such that f''(x) - g''(x) = 0, f'(1) = 2, g'(1) = 4, f(2) = 3,

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the comple

$$\mathop {\lim }\limits_{x \to 0} {{\sqrt {1 - \cos 2x} } \over {\sqrt 2 x}}$$ is

The domain of $${\sin ^{ - 1}}\left[ {{{\log }_3}\left( {{x \over 3}} \right)} \right]$$ is

Let $$f(2) = 4$$ and $$f'(x) = 4.$$ Then $$\mathop {\lim }\limits_{x \to 2} {{xf\left( 2 \right) - 2f\left( x \right)} \

$$\mathop {\lim }\limits_{x \to \infty } {\left( {{{{x^2} + 5x + 3} \over {{x^2} + x + 2}}} \right)^x}$$

$$\mathop {\lim }\limits_{x \to 0} {{\log {x^n} - \left[ x \right]} \over {\left[ x \right]}}$$, $$n \in N$$, ( [x] deno

If $$f\left( 1 \right) = 1,{f'}\left( 1 \right) = 2,$$ then $$\mathop {\lim }\limits_{x \to 1} {{\sqrt {f\left( x \right

$$f$$ is defined in $$\left[ { - 5,5} \right]$$ as $$f\left( x \right) = x$$ if $$x$$ is rational $$\,\,\,\,\,\,\,\,\,\,

If f(x + y) = f(x).f(y) $$\forall $$ x, y and f(5) = 2, f'(0) = 3, then f'(5) is

A triangle with vertices $$\left( {4,0} \right),\left( { - 1, - 1} \right),\left( {3,5} \right)$$ is :

Locus of mid point of the portion between the axes of $$x$$ $$cos$$ $$\alpha + y\,\sin \alpha = p$$ where $$p$$ is c

If $$y=f(x)$$ makes +$$ve$$ intercept of $$2$$ and $$0$$ unit on $$x$$ and $$y$$ axes and encloses an area of $$3/4$$ sq

If $$y = {\left( {x + \sqrt {1 + {x^2}} } \right)^n},$$ then $$\left( {1 + {x^2}} \right){{{d^2}y} \over {d{x^2}}} + x{{

$${\cot ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) - {\tan ^{ - 1}}\left( {\sqrt {\cos \alpha } } \right) = x,$$ the

The maximum distance from origin of a point on the curve $$x = a\sin t - b\sin \left( {{{at} \over b}} \right)$$ $$y =

If $$a>0$$ and discriminant of $$\,a{x^2} + 2bx + c$$ is $$-ve$$, then $$\left| {\matrix{ a & b & {ax + b}

$${I_n} = \int\limits_0^{\pi /4} {{{\tan }^n}x\,dx} $$ then $$\,\mathop {\lim }\limits_{n \to \infty } \,n\left[ {{I_n}

$$\int\limits_0^{10\pi } {\left| {\sin x} \right|dx} $$ is

$$\int\limits_0^2 {\left[ {{x^2}} \right]dx} $$ is

$$\int_{ - \pi }^\pi {{{2x\left( {1 + \sin x} \right)} \over {1 + {{\cos }^2}x}}} dx$$ is

The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length $

The area bounded by the curves $$y = \ln x,y = \ln \left| x \right|,y = \left| {\ln {\mkern 1mu} x} \right|$$ and $$y =

The solution of the equation $$\,{{{d^2}y} \over {d{x^2}}} = {e^{ - 2x}}$$

The order and degree of the differential equation $$\,{\left( {1 + 3{{dy} \over {dx}}} \right)^{2/3}} = 4{{{d^3}y} \ove

A problem in mathematics is given to three students $$A,B,C$$ and their respective probability of solving the problem is

$$A$$ and $$B$$ are events such that $$P\left( {A \cup B} \right) = 3/4$$,$$P\left( {A \cap B} \right) = 1/4,$$ $$P\lef

If $$\left| {\overrightarrow a } \right| = 4,\left| {\overrightarrow b } \right| = 2$$ and the angle between $${\overrig

If the vectors $\overrightarrow{\mathbf{a}}, \overrightarrow{\mathbf{b}}$ and $\overrightarrow{\mathbf{c}}$ from the sid

If $$\left| {\overrightarrow a } \right| = 5,\left| {\overrightarrow b } \right| = 4,\left| {\overrightarrow c } \right|

$$\overrightarrow a = 3\widehat i - 5\widehat j$$ and $$\overrightarrow b = 6\widehat i + 3\widehat j$$ are two vector

If the vectors $$\overrightarrow c ,\overrightarrow a = x\widehat i + y\widehat j + z\widehat k$$ and $$\widehat b = \w

Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 (using repetition allowed) are :

The period of $${\sin ^2}\theta $$ is

Which one is not periodic?

z and w are two nonzero complex numbers such that $$\,\left| z \right| = \left| w \right|$$ and Arg z + Arg w =$$\pi $$

If $$\left| {z - 4} \right| < \left| {z - 2} \right|$$, its solution is given by :

The locus of the centre of a circle which touches the circle $$\left| {z - {z_1}} \right| = a$$ and$$\left| {z - {z_2}}

If $$\alpha \ne \beta $$ but $${\alpha ^2} = 5\alpha - 3$$ and $${\beta ^2} = 5\beta - 3$$ then the equation having $

Product of real roots of equation $${t^2}{x^2} + \left| x \right| + 9 = 0$$

Difference between the corresponding roots of $${x^2} + ax + b = 0$$ and $${x^2} + bx + a = 0$$ is same and $$a \ne b,$

If $$p$$ and $$q$$ are the roots of the equation $${x^2} + px + q = 0,$$ then

If $$a,\,b,\,c$$ are distinct $$ + ve$$ real numbers and $${a^2} + {b^2} + {c^2} = 1$$ then $$ab + bc + ca$$ is

The coefficients of $${x^p}$$ and $${x^q}$$ in the expansion of $${\left( {1 + x} \right)^{p + q}}$$ are

The positive integer just greater than $${\left( {1 + 0.0001} \right)^{10000}}$$ is

Number greater than 1000 but less than 4000 is formed using the digits 0, 1, 2, 3, 4 (repetition allowed). Their number

The sum of integers from 1 to 100 that are divisible by 2 or 5 is :

Five digit number divisible by 3 is formed using 0, 1, 2, 3, 4 and 5 without repetition. Total number of such numbers ar

If 1, $${\log _9}\,\,({3^{1 - x}} + 2),\,\,{\log _3}\,\,({4.3^x} - 1)$$ are in A.P. then x equals

l, m, n are the $${p^{th}}$$, $${q^{th}}$$ and $${r^{th}}$$ term of a G.P all positive, $$then\,\left| {\matrix{ {\lo

Fifth term of a GP is 2, then the product of its 9 terms is

Sum of infinite number of terms of GP is 20 and sum of their square is 100. The common ratio of GP is

If the chord y = mx + 1 of the circle $${x^2}\, + \,{y^2} = 1$$ subtends an angle of measure $${45^ \circ }$$ at the maj

The energy band gap is maximum in

Which of the following are not electromagnetic waves?

If two mirrors are kept at $${60^ \circ }$$ to each other, then the number of images formed by them is

A wire when connected to $$220$$ $$V$$ mains supply has power dissipation $${P_1}.$$ Now the wire is cut into two equal

If $${\theta _1},$$ is the inversion temperature, $${\theta _n}$$ is the neutral temperature, $${\theta _c}$$ is the te

The mass of product liberated on anode in an electrochemical cell depends on (where $$t$$ is the time period for which

If a current is passed through a spring then the spring will

If in the circuit, power dissipation is $$150W,$$ then $$R$$ is

If in a circular coil $$A$$ of radius $$R,$$ current $$I$$ is flowing and in another coil $$B$$ of radius $$2R$$ a curr

If an electron and a proton having same momentum enter perpendicular to a magnetic field, then

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

Wires $$1$$ and $$2$$ carrying currents $$i{}_1$$ and $$i{}_2$$ respectively are inclined at an angle $$\theta $$ to eac

The power factor of $$AC$$ circuit having resistance $$(R)$$ and inductance $$(L)$$ connected in series and an angular v

In a transformer, number of turns in the primary coil are $$140$$ and that in the secondary coil are $$280.$$ If current

An astronomical telescope has a large aperture to

Electromagnetic waves are transverse in nature is evident by

Wavelength of light used in an optical instrument are $${\lambda _1} = 4000\mathop A\limits^ \circ $$ and $${\lambda _

Which of the following is used in optical fibres?

The inductance between $$A$$ and $$D$$ is

A conducting square loop of side $$L$$ and resistance $$R$$ moves in its plane with a uniform velocity $$v$$ perpendicul

If $$13.6$$ $$eV$$ energy is required to ionize the hydrogen atom, then the energy required to remove an electron from $

At absolute zero, Si acts as

Sodium and copper have work functions $$2.3$$ $$eV$$ and $$4.5$$ $$eV$$ respectively. Then the ratio of the wavelengths

Formation of covalent bonds in compounds exhibits

By increasing the temperature, the specific resistance of a conductor and a semiconductor

Capacitance (in $$F$$) of a spherical conductor with radius $$1$$ $$m$$ is

Moment of inertia of a circular wire of mass $$M$$ and radius $$R$$ about its diameter is

The escape velocity of a body depends upon mass as

A spring of force constant $$800$$ $$N/m$$ has an extension of $$5$$ $$cm.$$ The work done in extending it from $$5$$ $$

One end of a mass-less rope, which passes over a mass-less and friction-less pulley $$P$$ is tied to a hook $$C$$ while

Infrared radiation is detected by

Heat given to a body which raises its temperature by $${1^ \circ }C$$ is

Which of the following is more close to a black body?

If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

At what temperature is the $$r.m.s$$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $${47^ \circ

Two spheres of the same material have radii $$1$$ $$m$$ and $$4$$ $$m$$ and temperatures $$4000$$ $$K$$ and $$2000$$ $$K

1 mole of a gas with $$\gamma = 7/5$$ is mixed with $$1$$ mole of a gas with $$\gamma = 5/3,$$ then the value of $$\ga

If a spring has time period $$T,$$ and is cut into $$n$$ equal parts, then the time period of each part will be

In a simple harmonic oscillator, at the mean position

A child swinging on a swing in sitting position, stands up, then the time period of the swing will

length of a string tied to two rigid supports is $$40$$ $$cm$$. Maximum length (wavelength in $$cm$$) of a stationary wa

A tuning fork arrangement (pair) produces $$4$$ beats/sec with one fork of frequency $$288$$ $$cps.$$ A little wax is pl

Tube $$A$$ has bolt ends open while tube $$B$$ has one end closed, otherwise they are identical. The ratio of fundamenta

A wave $$y=a$$ $$\sin \left( {\omega t - kx} \right)$$ on a string meets with another wave producing a node at $$x=0.$$

When temperature increases, the frequency of a tuning fork

On moving a charge of $$20$$ coulomb by $$2$$ $$cm,$$ $$2$$ $$J$$ of work is done, then the potential differences betwee

If there are $$n$$ capacitors in parallel connected to $$V$$ volt source, then the energy stored is equal to

A charged particle $$q$$ is placed at the centre $$O$$ of cube of length $$L(ABCDEFGH).$$ Another same charge $$q$$ is p

If a charge $$q$$ is placed at the center of the line joining two equal charges $$Q$$ such that the system is in equilib

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

The kinetic energy needed to project a body of mass $$m$$ from the earth surface (radius $$R$$) to infinity is

Identify the pair whose dimensions are equal

A ball whose kinetic energy E, is projected at an angle of $$45^\circ $$ to the horizontal. The kinetic energy of the ba

From a building two balls A and B are thrown such that A is thrown upwards and B downwards ( both vertically with the s

If a body looses half of its velocity on penetrating $$3$$ $$cm$$ in a wooden block, then how much will it penetrate mor

A lift is moving down with acceleration $$a.$$ A man in the lift drops a ball inside the lift. The acceleration of the b

When forces $${F_1},\,\,{F_2},\,\,{F_3}$$ are acting on a particle of mass $$m$$ such that $${F_2}$$ and $${F_3}$$ are m

Two forces are such that the sum of their magnitudes is $$18$$ $$N$$ and their resultant is $$12$$ $$N$$ which is perpen

A light string passing over a smooth light pulley connects two blocks of masses $${m_1}$$ and $${m_2}$$ (vertically). If

Three identical blocks of masses $$m=2$$ $$kg$$ are drawn by a force $$F=10.2$$ $$N$$ with an acceleration of $$0.6$$ $$

Speeds of two identical cars are $$u $$ and $$4$$$$u $$ at the specific instant. The ratio of the respective distances i

A cylinder of height $$20$$ $$m$$ is completely filled with water. The velocity of efflux of water (in $$m{s^{ - 1}}$$)

Initial angular velocity of a circular disc of mass $$M$$ is $${\omega _1}.$$ Then two small spheres of mass $$m$$ are a

Two identical particles move towards each other with velocity $$2v$$ and $$v$$ respectively. The velocity of center of m

The minimum velocity (in $$m{s^{ - 1}}$$) with which a car driver must traverse a flat curve of radius 150 m and coeffic

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide

A particle of mass $$m$$ moves along line PC with velocity $$v$$ as shown. What is the angular momentum of the particle

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then

Energy required to move a body of mass $$m$$ from an orbit of radius $$2R$$ to $$3R$$ is