A sample of gas absorbs $$4000 \mathrm{~kJ}$$ of heat and surrounding does $$2000 \mathrm{~J}$$ of work on sample. What

What is the value of $$\mathrm{C}-\mathrm{O}-\mathrm{H}$$ bond angle in $$\mathrm{CH}_3-\mathrm{OH}$$ ?

What is the molarity of solution containing $$3.2 \mathrm{~g}$$ of $$\mathrm{NaOH}$$ (molar mass $$40 \mathrm{~g} \mathr

A metallic element crystallises in simple cubic lattice. If edge length of the unit cell is $$3\mathop A\limits^o$$, wit

Which among the following compounds belongs to lipids?

Which of the following alcohols needs acidic $$\mathrm{KMnO}_4$$ to convert it into aldehyde or ketone?

What is the bond order of B$$_2$$ molecule?

Which among the following polymers is obtained from styrene and 1-3-butadiene?

What is the oxidation number of As in H$$_3$$AsO$$_3$$ ?

Identify the product '$$A$$' in the following reaction. $$\text { Aniline } \xrightarrow[\text { Pyridine }]{\left(\math

Which of the following molecule contain $$50 \%$$ p-character of hybrid orbital in C atom?

The reaction $$2 \mathrm{R}-\mathrm{Cl}+\mathrm{CoF}_2 \longrightarrow 2 \mathrm{R}-\mathrm{F}+\mathrm{CoCl}_2$$ is an e

What is the effective atomic number of $$\mathrm{Zn}$$ in $$\left[\mathrm{Zn}\left(\mathrm{NH}_3\right)_4\right] \mathrm

Alkyl cynides on reduction by sodium and ethanol give primary amines. This reaction is called as

Which among the following compounds has highest boiling point?

Identify the product obtained, when benzamide is treated with bromine and aqueous sodium hydroxide.

Which among the following methods is not suitable for the preparation of alkyl chlorides?

A solution has an osmotic pressure of '$$x$$' $$\mathrm{kPa}$$ at $$300 \mathrm{~K}$$ having 1 mole of solute in $$10.5

Identify the catalyst $$X$$ used in following reaction. $$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}+2[\mathrm{H}] \xrighta

Which of the following statements is true for carbonyl group?

Mixture of iodine and sodium sulphate is separated by ............... .

If concentration of reactant '$$A$$' is increased by 10 times the rate of reaction becomes 100 times. What is the order

Which among the following is non-poisonous in nature?

A compound has fcc structure. If density of unit cell is $$3.4 \mathrm{~g} \mathrm{~cm}^{-3}$$, what is the edge length

Identify the element having highest enthalpyot atomisation from following.

What type of inter molecular force is present between magnesium chloride and water?

Xenon crystallises in fcc lattice and the edge length of unit cell is 620 pm. What is the radius of Xe atom?

How many electrons are involved in the reaction, when $$0.40 \mathrm{~F}$$ of electricity is passed through an electroly

Which among the following lanthanoids, shows only +3 oxidation state?

Which among the following is used as refrigerants and for air conditioning?

Identify the tetradentate ligand from the following.

If $$38.55 \mathrm{~kJ}$$ of heat is absorbed, when 6.0 of $$\mathrm{O}_2$$ react $$\mathrm{CIF}$$ according to reaction

A first order reaction has rate constant $$1 \times 10^{-2} \mathrm{~s}^{-1}$$. What time will, it take for $$20 \mathrm

Which of the following salt contain interstitial water molecule in it?

Which of the following is not present in baking powder?

Identify the enzyme that catalyses the reaction of $$\mathrm{CO}_2$$ with water in huma body.

Which among the following pairs of halogen forms the interhalogen compound of the type $$X X^{\prime}{ }_7$$ ?

Which among the following is a biodegradable polymer?

Which among the following ore is concentrated by froth floatation process?

Which of the following is called as mandelonitrile?

Which among the following group-15 elements does not react with concentrated sulphuric acid?

What will be the concentration of $$\mathrm{NaCl}$$ solution, if the molar conductivity and conductivity of $$\mathrm{Na

Which among the following is an example of allylic alcohol?

Which among the following amino acids has lowest molar mass?

Identify the symbol used for water according to Dalton's atomic theory?

An ideal gas expands isothermally and reversibly from $$10 \mathrm{~m}^3$$ to $$20 \mathrm{~m}^3$$ at $$300 \mathrm{~K}$

Which among the following type of linkages is present in cellulose?

Zirconium is refined by

If a centimolal aqueous solution of K$$_3$$[Fe(CN)$$_6$$] has degree of dissociation 0.78. What is the value of van't Ho

Which among the following is antioxident?

In a triangle $$A B C$$ with usual notations, if $$\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}$$, then area of tr

If $$\frac{x}{\sqrt{1+x}}+\frac{y}{\sqrt{1+y}}=0, x \neq y$$, then $$(1+x)^2 \frac{d y}{d x}=$$

If $$\int \frac{\sin \theta}{\sin 3 \theta} d \theta=\frac{1}{2 k} \log \left|\frac{k+\tan \theta}{k-\tan \theta}\right|

The probability that bomb will miss the target is 0.2. Then, the probability that out of 10 bombs dropped exactly 2 will

The polar co-ordinates of the point whose cartesian co-ordinates are $$(-2,-2)$$, are given by

If $$\int \sqrt{x-\frac{1}{x}}\left(\frac{x^2+1}{x^2}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^k+c$$, then value

$$\int_0^a \sqrt{\frac{x}{a-x}} d x=$$

The minimum value of $$Z=5 x+8 y$$ subject to $$x+y \geq 5,0 \leq x \leq 4, y \geq 2, x \geq 0, y \geq 0$$ is

The sum of the cofactors of the elements of second row of the matrix $$\left[\begin{array}{rrr}1 & 3 & 2 \\ -2 & 0 & 1 \

If the foot of perpendicular drawn from the origin to the plane is $$(3,2,1)$$, then the equation of plane is

If $$f(x)=\log (\sin x), x \in\left[\frac{\pi}{6}, \frac{5 \pi}{6}\right]$$, then value of '$$c$$' by applying LMVT is

The value of $$\sin ^{-1}\left(-\frac{1}{2}\right)+\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)$$ is

If $$p \rightarrow(\sim p \vee q)$$ is false, then the truth values of $$p$$ and $$q$$ are respectively

If the equation $$k x y+5 x+3 y+2=0$$ represents a pair of lines, then $$k=$$

If $$(a,-2 a), a>0$$ is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of t

If the vectors $$\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}$

The letters of the word 'LOGARITHM' are arranged at random. The probability that arrangement starts with vowel and end w

If $$\sqrt{\frac{x}{y}}+\sqrt{\frac{y}{x}}=4$$, then $$\frac{d y}{d x}=$$

If $$x \cos \theta+y \sin \theta=5, x \sin \theta-y \cos \theta=3$$, then the value of $$x^2+y^2=$$

The area of the region bounded by the curve $$y=4 x^3-6 x^2+4 x+1$$ and the lines $$x=1, x=5$$ and $$X$$-axis is

$$\int_\limits2^3 \frac{x}{x^2-1} d x=$$

The angles between the lines $$\mathbf{r}=(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}})+\lambda(\hat{\mathbf{

The p.d.f of c.r.v $$X$$ is given by $$f(x)=\frac{x+2}{18}$$, if $$-2

The approximate value of the function $$f(x)=x^3-3 x+5$$ at $$x=1.99$$ is

If for an arithmetic progression, 9 times nineth term is equal to 13 times thirteenth term, then value of twenty second

If $$A=\left[\begin{array}{rrr}2 & 0 & -1 \\ 5 & 1 & 0 \\ 0 & 1 & 3\end{array}\right]$$ and $$A^{-1}=\left[\begin{array}

The differential equation obtained from the function $$y=a(x-a)^2$$ is

In a quadrilateral $$ABCD, M$$ and $$N$$ are the mid-points of the sides $$A B$$ and $$C D$$ respectively. If $$\mathbf{

If $$f(x)=\log (\sec x+\tan x)$$, then $$f^{\prime}\left(\frac{\pi}{4}\right)=$$

If $$f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}$$, then the function $$f$$ of is

$$\int \cot x \cdot \log [\log (\sin x)] d x=$$

If $$\sin \theta=-\frac{12}{13}, \cos \phi=-\frac{4}{5}$$ and $$\theta, \phi$$ lie in the third quadrant, then $$\tan (\

The symbolic form of the following circuit is (where $$p, q$$ represents switches $$S_1$$ and $$s_2$$ closed respectivel

The differential equation of all lines perpendicular to the line $$5 x+2 y+7=0$$ is

$$\int_\limits0^{\frac{\pi}{2}} \log \left[\sqrt{\frac{1-\cos 2 x}{1+\cos 2 x}}\right] d x=$$

If $$[\vec{a}\ \vec{b}\ \vec{c}\ ] \neq 0$$, then $$\frac{[\vec{a}\ +\vec{b}\ \vec{b}\ +\vec{c}\ \vec{c}\ +\vec{a}\ ]

The cartesian co-ordinates of the point on the parabola $$y^2=x$$ whose parameter is $$-\frac{4}{3}$$ are

The angle between the line $$r =(\hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})+\lambda(3 \hat{\mathbf{i}}+\hat{\ma

The bacteria increases at the rate proportional to the number of bacteria present. If the original number '$$N$$' double

If $$A=\{x, y, z\}, B=\{1,2\}$$, then the total number of relations from set $$A$$ to set $$B$$ are :

The equation of tangent at $$P(-4,-4)$$ on the curve $$x^2=-4 y$$ is

The rate of decay of certain substance is directly proportional to the amount present at that instant. Initially, there

The direction cosines of a line which is perpendicular to lines whose direction ratios are $$3,-2,4$$ and $$1,3,-2$$ are

The points of discontinuity of the function $$\begin{aligned} f(x) & =\frac{1}{x-1}, \text { if } 0 \leq x \leq 2 \\ & =

If the angle between the lines given by the equation $$x^2-3 x y+\lambda y^2+3 x-5 y+2=0, \lambda \geq 0$$, is $$\tan ^{

If the p.m.f of a. r.v. $$X$$ is given by $$P(X=x)=\frac{{ }^5 C_x}{2^5}$$ if $$x=0,1,2, \ldots \ldots . .5=0$$, 0 , oth

The radius of the circle passing through the points $$(5,7),(2,-2)$$ and $$(-2,0)$$ is

The integrating factor of the differential equation $$\left(1+x^2\right) d t=\left(\tan ^{-1} x-t\right) d x$$ is

In a triangle $$A B C$$, if $$\frac{\sin A-\sin C}{\cos C-\cos A}=\cot B$$, then $$A, B, C$$, are in

If the lines given by $$\frac{x-1}{2 \lambda}=\frac{y-1}{-5}=\frac{z-1}{2}$$ and $$\frac{x+2}{\lambda}=\frac{y+3}{\lambd

An ammeter of resistance $$20 \Omega$$ gives full scale deflection, when $$1 \mathrm{~mA}$$ current flows through it. Wh

An alternating emf of $$0.2 \mathrm{~V}$$ is applied across an L-C-R series circuit having $$R=4 \Omega, C=80 \mu \mathr

An electron $$(e)$$ is revolving in a circular orbit of radius $$r$$ in hydrogen atom. The angular momentum of the elect

In non-uniform circular motion, the ratio of tangential to radial acceleration is ($$r=$$ radius, $$\alpha=$$ angular ac

In common emitter amplifier, input resistance is $$1000 \Omega$$, peak value of input signal voltage is $$5 \mathrm{~mV}

A simple pendulum of length $$L$$ has mass $$m$$ and it oscillates freely with amplitude $$A$$. At extreme position, its

The extension in a wire obeying Hooke's law is $$x$$. The speed of sound in the stretched wire is $$v$$. If the extensio

Let force $$F=A \sin (C t)+B \cos (D x)$$, where $$x$$ and $$t$$ are displacement and time, respectively. The dimensions

Two vectors of same magnitude have a resultant equal to either of the two vectors. The angle between two vectors is

If there is a change of angular momentum from $$1 \mathrm{j}$$-$$\mathrm{s}$$ to $$4 \mathrm{j}$$-$$\mathrm{s}$$ in $$4

For a gas, $$\frac{R}{C_V}=0.4$$, where $$R$$ is universal gas constant and $$C_V$$ is the molar specific heat at consta

The maximum velocity of the photoelectron emitted by the metal surface is $$v$$. Charge and mass of the photoelectron is

Energy of the incident photon on the metal surface is $$3 W$$ and then $$5 W$$, where $$W$$ is the work function for tha

Water rises in a capillary tube of radius $$r$$ upto a height $$h$$. The mass of water in a capillary is $$m$$. The mass

Two waves $$Y_1=0.25 \sin 316 t$$ and $$Y_2=0.25 \sin 310 t$$ are propagating along the same direction. The number of be

A small metal sphere of mass $$M$$ and density $$d_1$$ when dropped in a jar filled with liquid moves with terminal velo

The capacitance of a parallel plate capacitor with air as medium is $$3 \mu \mathrm{F}$$. With the introduction of a die

The mass of earth is 81 times the mass of the moon and the distance between their centres is $$R$$. The distance from th

A coil of $$n$$ turns and resistance $$R \Omega$$ is connected in series with a resistance $$\frac{R}{2}$$. The combinat

Two identical bar magnets each of magnetic moment $$M$$, separated by some distance are kept perpendicular to each other

A bullet of mass $$m$$ moving with velocity $$v$$ is fired into a wooden block of mass $$M$$, If the bullet remains embe

In diffraction experiment, from a single slit, the angular width of the central maxima does not depend upon

A vehicle of mass $$m$$ is moving with momentum $$p$$ on a rough horizontal road. The coefficient of friction between th

In Young's double slit experiment green light is incident on the two slits. The interference pattern is observed on a sc

Two identical strings of length $$l$$ and $$2l$$ vibrate with fundamental frequencies $$\mathrm{N} \mathrm{~Hz}$$ and $$

In amplitude modulation,

When a photon enters glass from air, which one of the following quantity does not change?

Two wires $$A$$ and $$B$$ of equal lengths are connected in left and right gap of a meter bridge, null point is obtained

When a small amount of impurity atoms are added to a semiconductor, then generally its resistivity

When open pipe is closed from one end third overtone of closed pipe is higher in frequency by $$150 \mathrm{~Hz}$$, then

A ray of light is incident at an angle $$i$$ on one face of prism of small angle $$A$$ and emerges normally from the oth

Two small drops of mercury each of radius $$r$$ coalesce to form a large single drop. The ratio of the total surface ene

A solid cylinder of radius $$r$$ and mass $$M$$ rolls down an inclined plane of height $$h$$. When it reaches the bottom

A potentiometer wire is $$4 \mathrm{~m}$$ long and potential difference of $$3 \mathrm{~V}$$ is maintained between the e

A charged particle is moving in a uniform magnetic field in a circular path of radius $$R$$. When the energy of the part

The density of a metal at normal pressure $$p$$ is $$\rho$$. When it is subjected to an excess pressure, the density bec

For a particle performing SHM when displacement is $$x$$, the potential energy and restoring force acting on it is denot

Surface density of charge on a charged conducting sphere of radius $$R$$ in terms of electric field intensity $$E$$ at a

A body is thrown from the surface of the earth velocity $$\mathrm{v} / \mathrm{s}$$. The maximum height above the earth'

Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($$I=$$

A monoatomic gas of pressure $$p$$ having volume $$V$$ expands isothermally to a volume $$2V$$ and then adiabatically to

A particle is moving in a radius $$R$$ with constant speed $$v$$. The magnitude of average acceleration after half revol

The magnifying power of a telescope is high, if its objective and eyepiece have respectively

The ratio of speed of an electron in the ground state in the Bohr's first orbit of hydrogen atom to velocity of light $$

A charge $$q$$ moves with velocity $$v$$ through electric field $$\mathrm{E}$$ as well as magnetic field (B). Then, the

The force acting on the electrons in hydrogen atom (Bohr's theory) is related to the principle quantum number $$n$$ as

A body of mass $$2 \mathrm{~kg}$$ is acted upon by two forces each of magnitude $$1 \mathrm{~N}$$ and inclined at $$60^{

Two rods of same material and volume having circular cross-section are subjected to tension $$T$$. Within the elastic li

An iron rod is placed parallel to magnetic field of intensity $$2000 \mathrm{~A} / \mathrm{m}$$. The magnetic flux throu

A moving body is covering distances which are proportional to square of the time. Then, the acceleration of the body is