Identify cationic sphere complex from following.

Identify substrate '$$\mathrm{A}$$' in the following conversion. $$\mathrm{A}+\underset{\text { (excess) }}{\mathrm{CH}_

Identify FALSE statement regarding adsorption from following.

Find the rate of formation of $$\mathrm{NO}_{2(\mathrm{~g})}$$ in the following reaction. $$\begin{aligned} & 2 \mathrm{

Which from following properties is exhibited by group 2 elements?

Calculate the rate constant of the first order reaction if $$20 \%$$ of the reactant decomposes in 15 minutes.

Which from following methods of structural formula representation uses conventionally a point for front carbon and a cir

Identify substrate '$$\mathrm{A}$$' in the following sequence of reactions. A $$\mathrm{\mathrel{\mathop{\kern0pt\longri

Which of the following is tertiary benzylic alcohol?

Which among the following is a feature of $$\mathrm{S}_{\mathrm{N}} 1$$ mechanism?

The volume of a gas is $$4 \mathrm{~dm}^3$$ at $$0^{\circ} \mathrm{C}$$. Calculate new volume at constant pressure when

Which following reagent is used in Etard reaction?

Which of the following processes exhibits increase in internal energy?

Calculate $$\mathrm{E}_{\text {cell }}^0$$ if the equilibrium constant for following reaction is $$1.2 \times 10^6$$. $$

Which from following alloys is used to make statues?

Which of the following molecules does NOT obey octet rule?

Calculate van't Hoff factor of $$\mathrm{K}_2 \mathrm{SO}_4$$ if $$0.1 \mathrm{~m}$$ aqueous solution of $$\mathrm{K}_2

Find the radius of fourth orbit of hydrogen atom if its radius of first orbit is $$\mathrm{R}$$ pm.

Which noble gas element from following exhibits highest number of different oxidation states?

Which among the following is a pair of monocarboxylic acids?

Identify the overall oxidation reaction that occurs in lead storage cell during discharge.

What is the change in oxidation number of selenium in the following redox reaction? $$\mathrm{SeO}_{3(\text { (a) })}^{2

A buffer solution is prepared by mixing equimolar acetic acid and sodium acetate. If '$$\mathrm{K}_d$$' of acetic acid i

What is the number of moles of nascent hydrogen required to prepare 1 mole of methane from iodomethane?

Which from following metal has hcp crystal structure?

One mole of an ideal gas performs $$900 \mathrm{~J}$$ of work on surrounding. If internal energy increases by $$625 \mat

Which of the following temperature values in Fahrenheit $$\left({ }^{\circ} \mathrm{F}\right)$$ is equal to $$50^{\circ}

Which from following formulae is of trioxalatocobaltate(III) ion?

Which of the following pair of nuclides is an example of isotones?

Identify FALSE statement from following.

What is IUPAC name of crotonyl alcohol?

A solution of $$5.6 \mathrm{~g}$$ non-volatile solute in $$50 \mathrm{~g}$$ solvent has elevation in boiling point $$1.7

What is the common name of benzene-1,3-diol?

Identify the CORRECT decreasing order of basic strength of compounds from following.

Calculate the work done in the following reaction at $$300 \mathrm{~K}$$ and at constant pressure. $$\left(\mathrm{R}=8.

The solubility product of $$\mathrm{Mg}(\mathrm{OH})_2$$ is $$1.8 \times 10^{-11}$$ at $$298 \mathrm{~K}$$. What is its

If $$\mathrm{K}_{\mathrm{sp}}$$ is solubility product of $$\mathrm{Al}(\mathrm{OH})_3$$, its solubility is expressed by

Which from following is the slope of the graph of $$[\mathrm{A}]_{\mathrm{t}}$$ versus time for zero order reaction?

Which from following statements is NOT true about natural rubber?

What is the molal elevation constant if one gram mole of a nonvolatile solute is dissolved in $$1 \mathrm{~kg}$$ of ethy

Which from following elements exhibits ferromagnetic properties?

Which of the following is NOT a globular protein?

Calculate the time required in second to deposit $$6.35 \mathrm{~g}$$ copper from its salt solution by passing 5 ampere

Which from following nanomaterial has one dimension less than $$100 \mathrm{~nm}$$ ?

Which among the following compounds has highest boiling point?

Calculate the radius of metal atom in bcc unit cell having edge length $$287 \mathrm{~pm}$$.

Identify A in the following reaction. $$\mathrm{{C_6}{H_{12}}{O_6}\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{dil

Which of the following is formed when propene is heated with chlorine at high temperature?

Identify the monomer used to prepare Teflon.

Calculate the number of atoms present in unit cell if an element having molar mass $$23 \mathrm{~g} \mathrm{~mol}^{-1}$$

If $$\mathrm{f}(x)=x^3+\mathrm{b} x^2+\mathrm{c} x+\mathrm{d}$$ and $$0

Differentiation of $$\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)$$ w.r.t. $$\cos ^{-1}\left(\sqrt{\frac{1+\sqrt{1+x^

The function $$\mathrm{f}(\mathrm{t})=\frac{1}{\mathrm{t}^2+\mathrm{t}-2}$$ where $$\mathrm{t}=\frac{1}{x-1}$$ is discon

A random variable $$X$$ has the following probability distribution .tg {border-collapse:collapse;border-spacing:0;} .t

If $$\mathrm{I}=\int \frac{2 x-7}{\sqrt{3 x-2}} \mathrm{~d} x$$, then $$\mathrm{I}$$ is given by

Let $$\mathrm{X}$$ be random variable having Binomial distribution $$B(7, p)$$. If $$P[X=3]=5 P[X=4]$$, then variance of

The scalar product of vectors $$\overline{\mathrm{a}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$$ and a unit

$$\int \frac{\log \left(x^2+a^2\right)}{x^2} d x=$$

The parametric equations of the curve $$x^2+y^2+a x+b y=0$$ are

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one, then the

$$x, y, z$$ are in G.P. and $$\tan ^{-1} x, \tan ^{-1} y, \tan ^{-1} z$$ are in A.P., then

In $$\triangle A B C$$ with usual notation, $$\frac{\cos A}{a}=\frac{\cos B}{b}=\frac{\cos C}{c}$$ and $$a=\frac{1}{\sqr

If $$\hat{\mathrm{a}}$$ and $$\hat{\mathrm{b}}$$ are unit vectors and $$\overline{\mathrm{c}}=\hat{\mathrm{b}}-(\hat{\ma

Angles of a triangle are in the ratio $$4: 1: 1$$. Then the ratio of its greatest side to its perimeter is

If a continuous random variable $$\mathrm{X}$$ has probability density function $$\mathrm{f}(x)$$ given by $$f(x)=\left\

The value of $$\begin{aligned} \cos \left(18^{\circ}-\mathrm{A}\right) \cdot \cos ( & \left.18^{\circ}+\mathrm{A}\right)

If $$\int x^5 e^{-4 x^3} \mathrm{~d} x=\frac{1}{48} \mathrm{e}^{-4 x^3} \mathrm{f}(x)+\mathrm{c}$$, where $$\mathrm{c}$$

The solution of the differential equation $$\mathrm{e}^{-x}(y+1) \mathrm{d} y+\left(\cos ^2 x-\sin 2 x\right) y \mathrm{

If $$A=\left[\begin{array}{ccc}1 & 2 & 3 \\ -1 & 1 & 2 \\ 1 & 2 & 4\end{array}\right]$$ and $$A_{i j}$$ is a cofactor of

Rate of increase of bacteria in a culture is proportional to the number of bacteria present at that instant and it is fo

The slope of the normal to the curve $$x=\sqrt{t}$$ and $$y=t-\frac{1}{\sqrt{t}}$$ at $$t=4$$ is

If $$3 \mathrm{f}(x)-\mathrm{f}\left(\frac{1}{x}\right)=8 \log _2 x^3, x>0$$, then $$\mathrm{f}(2), \mathrm{f}(4)$$, $$f

If the angle between the lines given by $$x^2-3 x y+\lambda y^2+3 x-5 y+2=0 ; \lambda \geq 0$$ is $$\tan ^{-1}\left(\fra

A line drawn from the point $$\mathrm{A}(1,3,2)$$ parallel to the line $$\frac{x}{2}=\frac{y}{4}=\frac{z}{1}$$, intersec

The value of $$\frac{\mathrm{i}^{248}+\mathrm{i}^{246}+\mathrm{i}^{244}+\mathrm{i}^{242}+\mathrm{i}^{240}}{\mathrm{i}^{2

If $$\mathrm{f}(x)=\int \frac{x^2 \mathrm{~d} x}{\left(1+x^2\right)\left(1+\sqrt{1+x^2}\right)}$$ and $$\mathrm{f}(0)=0$

A line $$\mathrm{L}_1$$ passes through the point, whose p. v. (position vector) $$3 \hat{i}$$, is parallel to the vector

If $$y=\tan ^{-1}\left(\frac{4 \sin 2 x}{\cos 2 x-6 \sin ^2 x}\right)$$, then $$\left(\frac{\mathrm{d} y}{\mathrm{~d} x}

The expression $$(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$$ is equivalent to

The raw data $$x_1, x_2, \ldots \ldots, x_{\mathrm{n}}$$ is an A.P. with common difference $$\mathrm{d}$$ and first term

The particular solution of differential equation $$\mathrm{e}^{\frac{d y}{d x}}=(x+1), y(0)=3$$ is

A card is drawn at random from a well shuffled pack of 52 cards. The probability that it is black card or face card is

If $$\bar{a}=2 \hat{i}+3 \hat{j}-4 \hat{k}$$ and $$\bar{b}=\hat{i}-\hat{j}-\hat{k}$$, then the projection of $$\bar{b}$$

If $$\mathrm{f}(x)=\left\{\begin{array}{ll}\mathrm{e}^{\cos x} \sin x & , \text { for }|x| \leq 2 \\ 2, & \text { otherw

The equation of the line passing through the point $$(-1,3,-2)$$ and perpendicular to each of the lines $$\frac{x}{1}=\f

Let $$\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}$$ be a function such that $$\mathrm{f}(x)=x^3+x^2 \mathrm{f}^{\prime

If $$A(1,4,2)$$ and $$C(5,-7,1)$$ are two vertices of triangle $$A B C$$ and $$G\left(\frac{4}{3}, 0, \frac{-2}{3}\right

The base of an equilateral triangle is represented by the equation $$2 x-y-1=0$$ and its vertex is $$(1,2)$$, then the l

Five persons $$\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$$ and $$\mathrm{E}$$ are seated in a circular arrangement.

The distance of the point $$(-1,-5,-10)$$ from the point of intersection of the line $$\frac{x-2}{3}=\frac{y+1}{4}=\frac

Negation of inverse of the following statement pattern $$(p \wedge q) \rightarrow(p \vee \sim q)$$ is

If $$\mathrm{f}(x)=3 x^{10}-7 x^8+5 x^6-21 x^3+3 x^2-7$$, then $$\lim _\limits{\alpha \rightarrow 0} \frac{f(1-\alpha)-f

The area (in sq. units) of the region bounded by curves $$y=3 x+1, y=4 x+1$$ and $$x=3$$ is

Values of $$c$$ as per Rolle's theorem for $$f(x)=\sin x+\cos x+6$$ on $$[0,2 \pi]$$ are

A vector $$\bar{a}$$ has components 1 and $$2 p$$ with respect to a rectangular Cartesian system. This system is rotated

A line is drawn through the point $$(1,2)$$ to meet the co-ordinate axes at $$\mathrm{P}$$ and $$\mathrm{Q}$$ such that

If feasible region is as shown in the figure, then related inequalities are

The general solution of the equation $$3 \sec ^2 \theta=2 \operatorname{cosec} \theta$$ is

A right circular cone has height $$9 \mathrm{~cm}$$ and radius of base $$5 \mathrm{~cm}$$. It is inverted and water is p

If $$\theta$$ is angle between the vectors $$\bar{a}$$ and $$\bar{b}$$ where $$|\bar{a}|=4,|\bar{b}|=3$$ and $$\theta \i

Select the 'WRONG' statement out of the following.

Two cells $$E_1$$ and $$E_2$$ having equal EMF '$$E$$' and internal resistances $$r_1$$ and $$r_2\left(r_1>r_2\right)$$

Which one of the following represents correctly the variation of volume (V) of an ideal gas with temperature $$(\mathrm{

Using variation of force and time given below, final velocity of a particle of mass $$2 \mathrm{~kg}$$ moving with initi

$$\mathrm{dQ}$$ is the heat energy supplied to an ideal gas under isochoric conditions. If $$\mathrm{dU}$$ and $$\mathrm

A black body at temperature $$127^{\circ} \mathrm{C}$$ radiates heat at the rate of $$5 \mathrm{~cal} / \mathrm{cm}^2 \m

The following graph represents

A rigid body rotates with an angular momentum L. If its rotational kinetic energy is made four times, its angular moment

A radioactive sample has half-life of 5 years. The percentage of fraction decayed in 10 years will be

Three coils of inductance $$\mathrm{L}_1=2 \mathrm{H}, \mathrm{L}_2=3 \mathrm{H}$$ and $$\mathrm{L}_3=6 \mathrm{H}$$ are

A Carnot engine has the same efficiency between (i) $$100 \mathrm{~K}$$ and $$600 \mathrm{~K}$$ and (ii) $$\mathrm{T} \m

For which of the following substances, the magnetic susceptibility is independent of temperature?

When a light of wavelength $$300 \mathrm{~nm}$$ fall on a photoelectric emitter, photo electrons are emitted. For anothe

In a given meter bridge, the current flowing through $$40 \Omega$$ resistor is

A body of mass $$0.04 \mathrm{~kg}$$ executes simple harmonic motion (SHM) about $$\mathrm{x}=0$$ under the influence of

A large number of water droplets each of radius '$$t$$' combine to form a large drop of Radius '$$R$$'. If the surface t

In resonance tube, first and second resonance are obtained at depths $$22.7 \mathrm{~cm}$$ and $$70.2 \mathrm{~cm}$$ res

Twenty seven droplets of water each of radius $$0.1 \mathrm{~mm}$$ merge to form a single drop then the energy released

If two inputs of a NAND gate are shorted, the resulting gate is

Venturimeter is used to

Which of the following statements is 'WRONG' for the conductors?

A circular coil of radius '$$r$$' and number of turns ' $n$ ' carries a current '$$I$$'. The magnetic fields at a small

A spherical surface of radius of curvature '$$R$$' separates air from glass of refractive index 1.5. The centre of curva

The rotational kinetic energy and translational kinetic energy of a rolling body are same, the body is

Two concentric circular coils A and B have radii $$20 \mathrm{~cm}$$ and $$10 \mathrm{~cm}$$ respectively lie in the sam

A charged spherical conductor of radius '$$R$$' is connected momentarily to another uncharged spherical conductor of rad

The magnet is moved towards the coil with speed '$$\mathrm{V}$$'. The induced e.m.f. in the coil is '$$\mathrm{e}$$'. Th

A uniform wire $$20 \mathrm{~m}$$ long and weighing $$50 \mathrm{~N}$$ hangs vertically. The speed of the wave at mid po

A large number of bullets are fired in all directions with same speed '$$U$$'. The maximum area on the ground on which t

A transformer has 20 turns in the primary and 100 turns in the secondary coil. An ac voltage of $$\mathrm{V}_{\text {in

On increasing the reverse bias to a large value in a P-N junction diode, current

For an ideal gas the density of the gas is $$\rho_0$$ when temperature and pressure of the gas are $$T_0$$ and $$P_0$$ r

The temperature gradient in a rod of length $$75 \mathrm{~cm}$$ is $$40^{\circ} \mathrm{C} / \mathrm{m}$$. If the temper

In an oscillating LC circuit, the maximum charge on the capacitor is '$$Q$$'. When the energy is stored equally between

A body of mass '$$\mathrm{m}$$' is raised through a height above the earth's surface so that the increase in potential e

With increase in frequency of a.c. supply, the impedance of an L-C-R series circuit

A passenger is sitting in a train which is moving fast. The engine of the train blows a whistle of frequency '$$n$$'. If

If the magnitude of intensity of electric field at a distance '$$r_1$$' on an axial line and at a distance '$$r_2$$' on

In an a.c. circuit the instantaneous current and emf are represented as $$\mathrm{I}=\mathrm{I}_0, \sin [\omega \mathrm{

In a biprism experiment, monochromatic light of wavelength '$$\lambda$$' is used. The distance between two coherent sour

Three charges each of value $$+q$$ are placed at the corners of an isosceles triangle $$\mathrm{ABC}$$ of sides $$\mathr

Light of frequency 1.5 times the threshold frequency is incident on photosensitive material. If the frequency is halved

A solid cylinder of mass $$3 \mathrm{~kg}$$ is rolling on a horizontal surface with velocity $$4 \mathrm{~m} / \mathrm{s

Which one of the following statements is Wrong?

The fundamental frequency of a sonometer wir carrying a block of mass '$$M$$' and density '$$\rho$$' is '$$n$$' Hz. When

A simple pendulum has a time period '$$T$$' in air. Its time period when it is completely immersed in a liquid of densit

Array of light is incident at an angle of incidence '$$i$$' on one surface of a prism of small angle $$\mathrm{A}$$ and

An isotope of the original nucleus can be formed in a radioactive decay, with the emission of following particles.

If two identical spherical bodies of same material and dimensions are kept in contact, the gravitational force between t

$$\mathrm{A}$$ and $$\mathrm{B}$$ are two interfering sources where $$\mathrm{A}$$ is ahead in phase by $$54^{\circ}$$ r