Find $$[\mathrm{OH}]$$ if a monoacidic base is $$3 \%$$ ionised in its $$0.04 \mathrm{~M}$$ solution.

Calculate $$\Delta \mathrm{G}^{\circ}$$ for the reaction $$\mathrm{Mg}_{(\mathrm{s})}+\mathrm{Sn}_{(\mathrm{aq})}^{++} \

If lattice enthalpy and hydration enthalpy of $$\mathrm{KCl}$$ are $$699 \mathrm{~kJ} \mathrm{~mol}^{-1}$$ and $$-681.8

Which of the following compounds does NOT undergo Williamson's synthesis?

What is the expression for solubility product of silver chromate if it's solubility is expressed as $$\mathrm{S} \mathrm

Which from following is a non-ferrous alloy?

What are the number of octahedral and tetrahedral voids in 0.3 mole substance respectively if it forms hcp structure?

Calculate the molar mass of an element having density $$7.8 \mathrm{~g} \mathrm{~cm}^{-3}$$ that forms bcc unit cell. $$

Which among the following compounds exhibits +2 oxidation state of oxygen?

Identify substrate $$\mathrm{A}$$ in the following reaction. $$\mathrm{A}+\mathrm{AgOH} \underset{\mathrm{ii)}~\Delta}{\

What volume of $$\mathrm{CO}_{2(\mathrm{~g})}$$ at STP is obtained by complete combustion of $$6 \mathrm{~g}$$ carbon?

Identify the chiral molecule from the following.

Calculate the time needed for reactant to decompose $$99.9 \%$$ if rate constant of first order reaction is 0.576 minute

What is the number of moles of $$\mathrm{sp}^3$$ hybrid carbon atoms in one mole of 2-Methylbut-2-ene?

Identify major product $$\mathrm{A}$$ in following reaction. 3-Bromo-2-methylpentane $$\mathrm{\mathrel{\mathop{\kern0pt

For reaction, $$\mathrm{CO}_{(\mathrm{g})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathr

Identify the example of zero-dimensional nanostructure from following.

What is $$\mathrm{pH}$$ of solution containing $$50 \mathrm{~mL}$$ each of $$0.1 \mathrm{~M}$$ sodium acetate and $$0.01

Calculate amount of methane formed by liberation of $$149.6 \mathrm{~kJ}$$ of heat using following equation. $$\mathrm{C

Which from following polymers is used to obtain tyre cords?

Electrolytic cells containing $$\mathrm{Zn}$$ and $$\mathrm{Al}$$ salt solutions are connected in series. If $$6.5 \math

What type of glycosidic linkages are present in cellulose?

Calculate the rate constant of first order reaction if half life of reaction is 40 minutes.

Identify product '$$B$$' in following sequence of reactions. 2n Propanone $$\mathrm{\buildrel {Ba{{(OH)}_2}} \over \lon

Identify rate law expression for $$2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{Cl}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NOCl}

Which among the following solutions has minimum boiling point elevation?

Calculate osmotic pressure of solution of 0.025 mole glucose in $$100 \mathrm{~mL}$$ water at $$300 \mathrm{~K}$$. $$\le

Which from following is a neutral ligand?

How many isomers of $$\mathrm{C}_4 \mathrm{H}_{11} \mathrm{~N}$$ are tertiary amines?

Which element from following exhibits diagonal relationship with $$\mathrm{Mg}$$ ?

Identify the good conductor of electricity from following band gap energy values of solids. .tg {border-collapse:colla

Identify the product obtained when ethoxybenzene reacts with hot and concentrated $$\mathrm{HI}$$.

Identify thermosetting polymer from following

Which from following phenomena is inversely proportional with adsorption?

Calculate the frequency of blue light having wavelength $$440 \mathrm{~nm}$$.

Which from following elements is NOT radioactive?

Which from following is strongest reducing agent?

What is the numerical value of spin only magnetic moment of copper in +2 state?

Identify the element having highest density from following.

What is the shape of $$\mathrm{AB}_4 \mathrm{E}$$ type of molecule according to VSEPR?

The molecular formula of hexachlorobenzene is

What is the value of specific rotation exhibited by fructose molecule?

Which of the following reactions is Rosenmund reduction?

Which from following complexes contains only anionic ligands?

A hot air balloon has volume of $$2000 \mathrm{~dm}^3$$ at $$99^{\circ} \mathrm{C}$$. What is the new volume if air in b

Identify the product obtained in following reaction. n $$\mathrm{CH}_3 \mathrm{MgI}+\mathrm{H}_2 \mathrm{O} \stackrel{\t

Which of following pairs is an example of isoelectronic species?

Which from following compounds is obtained when anisole is heated with dilute sulfuric acid?

Calculate molality of solution of a nonvolatile solute having boiling point elevation $$1.89 \mathrm{~K}$$ if boiling po

What type of following phenomena does the Cannizzaro reaction exhibit?

If $$\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$$ are three vectors, $$|\overline{\mathrm{a}}|=

The centroid of tetrahedron with vertices at $$\mathrm{A}(-1,2,3), \mathrm{B}(3,-2,1), \mathrm{C}(2,1,3)$$ and $$\mathrm

Two adjacent sides of a parallelogram $$\mathrm{ABCD}$$ are given by $$\overline{A B}=2 \hat{i}+10 \hat{j}+1 \hat{k}$$ a

The values of $$a$$ and $$b$$, so that the function $$f(x)=\left\{\begin{array}{l} x+a \sqrt{2} \sin x, 0 \leq x \leq \f

For a feasible region OCDBO given below, the maximum value of the objective function $$z=3 x+4 y$$ is

If $$\mathrm{g}(x)=1+\sqrt{x}$$ and $$\mathrm{f}(\mathrm{g}(x))=3+2 \sqrt{x}+x$$ then $$\mathrm{f}(\mathrm{f}(x))$$ is

The approximate value of $$\sin \left(60^{\circ} 0^{\prime} 10^{\prime \prime}\right)$$ is (given that $$\sqrt{3}=1.732,

The decay rate of radio active material at any time $$t$$ is proportional to its mass at that time. The mass is 27 grams

The derivative of $$\mathrm{f}(\tan x)$$ w.r.t. $$\mathrm{g}(\sec x)$$ at $$x=\frac{\pi}{4}$$ where $$\mathrm{f}^{\prime

The p.m.f of random variate $$\mathrm{X}$$ is $$P(X)= \begin{cases}\frac{2 x}{\mathrm{n}(\mathrm{n}+1)}, & x=1,2,3, \ldo

The angle between the tangents to the curves $$y=2 x^2$$ and $$x=2 y^2$$ at $$(1,1)$$ is

If the area of the triangle with vertices $$(1,2,0)$$, $$(1,0,2)$$ and $$(0, x, 1)$$ is $$\sqrt{6}$$ square units, then

An experiment succeeds twice as often as it fails. Then the probability, that in the next 6 trials there will be atleast

The co-ordinates of the points on the line $$2 x-y=5$$ which are the distance of 1 unit from the line $$3 x+4 y=5$$ are

If $$x=\operatorname{cosec}\left(\tan ^{-1}\left(\cos \left(\cot ^{-1}\left(\sec \left(\sin ^{-1} a\right)\right)\right)

Let $$\overline{\mathrm{A}}$$ be a vector parallel to line of intersection of planes $$P_1$$ and $$P_2$$ through origin.

$$\int \frac{\operatorname{cosec} x d x}{\cos ^2\left(1+\log \tan \frac{x}{2}\right)}=$$

If the variance of the numbers $$-1,0,1, \mathrm{k}$$ is 5, where $$\mathrm{k} > 0$$, then $$\mathrm{k}$$ is equal to

The differential equation $$\cos (x+y) \mathrm{d} y=\mathrm{d} x$$ has the general solution given by

The area of the region bounded by the curves $$y=\mathrm{e}^x, y=\log x$$ and lines $$x=1, x=2$$ is

If $$x=-1$$ and $$x=2$$ are extreme points of $$\mathrm{f}(x)=\alpha \log x+\beta x^2+x, \alpha$$ and $$\beta$$ are cons

A plane is parallel to two lines whose direction ratios are $$1,0,-1$$ and $$-1,1,0$$ and it contains the point $$(1,1,1

The function $$\mathrm{f}(x)=\sin ^4 x+\cos ^4 x$$ is increasing in

If $$a > 0$$ and $$z=\frac{(1+i)^2}{a+i},(i=\sqrt{-1})$$ has magnitude $$\frac{2}{\sqrt{5}}$$, then $$\bar{z}$$ is equal

The integral $$\int \frac{\sin ^2 x \cos ^2 x}{\left(\sin ^5 x+\cos ^3 x \sin ^2 x+\sin ^3 x \cos ^2 x+\cos ^5 x\right)^

The equation of the plane through $$(-1,1,2)$$ whose normal makes equal acute angles with co-ordinate axes is

If $$\mathrm{T}_{\mathrm{n}}$$ denotes the number of triangles which can be formed using the vertices of regular polygon

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then the probability distributi

If $$\tan \theta=\frac{\sin \alpha-\cos \alpha}{\sin \alpha+\cos \alpha}, 0 \leq \alpha \leq \frac{\pi}{2}$$, then the v

The solution set of $$8 \cos ^2 \theta+14 \cos \theta+5=0$$, in the interval $$[0,2 \pi]$$, is

A ladder 5 meters long rests against a vertical wall. If its top slides downwards at the rate of $$10 \mathrm{~cm} / \ma

If $$\frac{\mathrm{d} y}{\mathrm{~d} x}=y+3$$ and $$y(0)=2$$, then $$y(\log 2)=$$

$$\text { If } \log (x+y)=2 x y \text {, then } \frac{\mathrm{d} y}{\mathrm{~d} x} \text { at } x=0 \text { is }$$

If general solution of $$\cos ^2 \theta-2 \sin \theta+\frac{1}{4}=0$$ is $$\theta=\frac{\mathrm{n} \pi}{\mathrm{A}}+(-1)

$$\overline{\mathrm{u}}, \overline{\mathrm{v}}, \overline{\mathrm{w}}$$ are three vectors such that $$|\overline{\mathrm

The distance of the point $$\mathrm{P}(-2,4,-5)$$ from the line $$\frac{x+3}{3}=\frac{y-4}{5}=\frac{z+8}{6}$$ is

$$\mathrm{A}$$ and $$\mathrm{B}$$ are independent events with $$\mathrm{P}(\mathrm{A})=\frac{1}{4}$$ and $$\mathrm{P}(\m

$$\int \frac{x^2+1}{x\left(x^2-1\right)} \mathrm{d} x=$$

If the matrix $$\mathrm{A}=\left[\begin{array}{cc}1 & 2 \\ -5 & 1\end{array}\right]$$ and $$\mathrm{A}^{-1}=x \mathrm{~A

The inverse of the statement "If the surface area increase, then the pressure decreases.", is

In a triangle, the sum of lengths of two sides is $$x$$ and the product of the lengths of the same two sides is $$y$$. I

The contrapositive of "If $$x$$ and $$y$$ are integers such that $$x y$$ is odd, then both $$x$$ and $$y$$ are odd" is

$$y=(1+x)\left(1+x^2\right)\left(1+x^4\right) \ldots \ldots \ldots\left(1+x^{2 n}\right)$$, then the value of $$\frac{\m

$$\lim _\limits{x \rightarrow 0} \frac{\cos 7 x^{\circ}-\cos 2 x^{\circ}}{x^2}$$ is

$$\int_\limits0^4|2 x-5| d x=$$

If $$\lambda$$ is the perpendicular distance of a point $$\mathrm{P}$$ on the circle $$x^2+y^2+2 x+2 y-3=0$$, from the l

If the line $$\frac{1-x}{3}=\frac{7 y-14}{2 p}=\frac{z-3}{2}$$ and $$\frac{7-7 x}{3 \mathrm{p}}=\frac{y-5}{1}=\frac{6-\m

The value of $$\sin \left(\cot ^{-1} x\right)$$ is

If $$\int \cos ^{\frac{3}{5}} x \cdot \sin ^3 x d x=\frac{-1}{m} \cos ^m x+\frac{1}{n} \cos ^n x+c$$, (where $$\mathrm{c

Let $$\mathrm{PQR}$$ be a right angled isosceles triangle, right angled at $$\mathrm{P}(2,1)$$. If the equation of the l

A uniform string is vibrating with a fundamental frequency '$$n$$'. If radius and length of string both are doubled keep

Let $$\gamma_1$$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of

A railway track is banked for a speed ',$$v$$' by elevating outer rail by a height '$$h$$' above the inner rail. The dis

In the given capacitive network the resultant capacitance between point $$\mathrm{A}$$ and $$\mathrm{B}$$ is

In Young's double slit experiment the intensities at two points, for the path difference $$\frac{\lambda}{4}$$ and $$\fr

A simple pendulum performs simple harmonic motion about $$\mathrm{x}=0$$ with an amplitude '$$\mathrm{a}$$' and time per

The molar specific heat of an ideal gas at constant pressure and constant volume is $$\mathrm{C}_{\mathrm{p}}$$ and $$\m

Resistance of a potentiometer wire is $$2 \Omega / \mathrm{m}$$. A cell of e.m.f. $$1.5 \mathrm{~V}$$ balances at $$300

$$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ are three parallel conductors of equal lengths and carry currents I, I and

Two electric dipoles of moment $$\mathrm{P}$$ and $$27 \mathrm{P}$$ are placed on a line with their centres $$24 \mathrm

Converging or diverging ability of a lens or mirror is called

The following logic gate combination is equivalent to

Radiations of two photons having energies twice and five times the work function of metal are incident successively on m

Time period of simple pendulum on earth's surface is '$$\mathrm{T}$$'. Its time period becomes '$$\mathrm{xT}$$' when ta

Consider a soap film on a rectangular frame of wire of area $$3 \times 3 \mathrm{~cm}^2$$. If the area of the soap film

In Lyman series, series limit of wavelength is $$\lambda_1$$. The wavelength of first line of Lyman series is $$\lambda_

The magnetic moment of a current (I) carrying circular coil of radius '$$r$$' and number of turns '$$n$$' depends on

A spherical drop of liquid splits into 1000 identical spherical drops. If '$$\mathrm{E}_1$$' is the surface energy of th

The displacement of two sinusoidal waves is given by the equation $$\begin{aligned} & \mathrm{y}_1=8 \sin (20 \mathrm{x}

$$I_1$$ is the moment of inertia of a circular disc about an axis passing through its centre and perpendicular to the pl

The equivalent capacity between terminal $$\mathrm{A}$$ and $$\mathrm{B}$$ is

Two similar coils each of radius $$\mathrm{R}$$ are lying concentrically with their planes at right angles to each other

The logic gate combination circuit shown in the figure performs the logic function of

Two sounding sources send waves at certain temperature in air of wavelength $$50 \mathrm{~cm}$$ and $$50.5 \mathrm{~cm}$

In the given circuit, r.m.s. value of current through the resistor $$\mathrm{R}$$ is

A particle of mass '$$m$$' moving east ward with a speed '$$v$$' collides with another particle of same mass moving nort

The height at which the weight of the body becomes $$\left(\frac{1}{9}\right)^{\text {th }}$$ its weight on the surface

A single turn current loop in the shape of a right angle triangle with side $$5 \mathrm{~cm}, 12 \mathrm{~cm}, 13 \mathr

41 tuning forks are arranged in increasing order of frequency such that each produces 5 beats/second with next tuning fo

In two separate setups for Biprism experiment using same wavelength, fringes of equal width are obtained. If ratio of sl

A composite slab consists of two materials having coefficient of thermal conductivity $$\mathrm{K}$$ and $$2 \mathrm{~K}

A black sphere has radius '$$R$$' whose rate of radiation is '$$E$$' at temperature '$$T$$'. If radius is made $$R / 3$$

The potential on the plates of capacitor are $$+20 \mathrm{~V}$$ and $$-20 \mathrm{~V}$$. The charge on the plate is $$4

A thin uniform circular disc of mass '$$\mathrm{M}$$' and radius '$$R$$' is rotating with angular velocity '$$\omega$$',

A gas at normal temperature is suddenly compressed to one-fourth of its original volume. If $$\frac{\mathrm{C}_{\mathrm{

When light of wavelength $$\lambda$$ is incident on a photosensitive surface the stopping potential is '$$\mathrm{V}$$'.

One of the necessary condition for total internal reflection to take place is ( $$\mathrm{i}=$$ angle of incidence, $$\m

In the given circuit, if $$\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / \mathrm{s}$$ then the value of $$\left(V_A-V

An inductor of $$0.5 \mathrm{~mH}$$, a capacitor of $$20 ~\mu \mathrm{F}$$ and a resistance of $$20 \Omega$$ are connect

The wavelength of radiation emitted is '$$\lambda_0$$' when an electron jumps from the second excited state to the first

Two particles having mass '$$M$$' and '$$m$$' are moving in a circular path with radius '$$R$$' and '$$r$$' respectively

The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then t

When forward bias is applied to a p-n junction, then what happens to the potential barrier $$\left(V_B\right)$$ and the

Two inductors of $$60 \mathrm{~mH}$$ each are joined in parallel. The current passing through this combination is $$2.2

A beam of light is incident on a glass plate at an angle of $$60^{\circ}$$. The reflected ray is polarized. If angle of

Consider a light planet revolving around a massive star in a circular orbit of radius '$$r$$' with time period '$$T$$'.

A potentiometer wire has length of $$5 \mathrm{~m}$$ and resistance of $$16 \Omega$$. The driving cell has an e.m.f. of

Four massless springs whose force constants are $$2 \mathrm{~K}, 2 \mathrm{~K}, \mathrm{~K}$$ and $$2 \mathrm{~K}$$ resp

About black body radiation, which of the following is the wrong statement?

Two coils have a mutual inductance of $$0.004 \mathrm{~H}$$. The current changes in the first coil according to equation