For the reaction $$\mathrm{N}_{2(\mathrm{~g})}+3 \mathrm{H}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NH}_{3(\mathrm{~g})}$

Identify the products obtained when chlorine reacts with hot and conc. $$\mathrm{NaOH}$$.

Which from following elements does NOT react with water?

Identify the type of hybridization involved in hexaaminecobalt (III) complex ion.

Calculate the solubility of a gas in water at $$0.8 \mathrm{~atm}$$ and $$25^{\circ} \mathrm{C}$$. [Henry's law constant

What is the value of temperature in degree Celsius at absolute zero ?

Which among the following reactions does NOT correctly match with its reagent?

Which among the following compounds is NOT prepared by Sandmeyer's reaction ?

Which among the following compounds undergoes SN$$^2$$ reaction fastly ?

Which of the following molecules possesses highest dipole-dipole interactions ?

What is the total volume occupied by atoms in bcc unit cell ?

Which among the following metals is involved in preparation of Grignard reagent ?

Which among the following properties of lanthanoids is NOT true?

Which of the following is a Lewis acid but NOT a Bronsted acid?

Which of the following aqueous solutions of salts will have highest $$\mathrm{pH}$$ value?

Which among the following compounds represents a soap molecule?

How long will it take to produce $$5.4 \mathrm{~g}$$ of $$\mathrm{Ag}$$ from molten $$\mathrm{AgCl}$$ by passing $$5 \ma

Which of the following is NOT an example of secondary voltaic cell?

What is the number of unpaired electrons in $$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$$ complex?

Which among the following methods is used to prepare Grignard reagent?

Calculate the density of metal having volume of unit cell $$64 \times 10^{-24} \mathrm{~cm}^3$$ and molar mass of metal

Calculate the work done when 2 moles of an ideal gas expand from a volume of $$5 \mathrm{~dm}^3$$ to $$7 \times 10^{-3}

Which among the following pair of monomers does not generate polyamide polymer?

What type of following phenomena is NOT exhibited by adsorption?

Find the rate constant of first order reaction in second having half life of 2.5 hours.

Which nitrogen atom of pyrimidine base numbered from 1 to 6 is bonded with furanose sugar ?

Identify the element with smallest ionic radius in +3 oxidation state from following.

Identify the product in the following reaction.

Which among following compounds possesses highest number of N atoms in it ?

What is the bond order of CO molecule?

Which of the following is NOT hydrogen like species?

What is the intermediate compound formed when chlorobenzene is treated with fused $$\mathrm{NaOH}$$ under pressure?

If rate of reaction is given as $$\frac{1}{3} \frac{\mathrm{d}[\mathrm{x}]}{\mathrm{dt}}=-\frac{1}{2} \frac{\mathrm{d}[\

Which among the following compounds contains highest number of chlorine atoms in their single molecule ?

What is the heat of formation of $$\mathrm{HCl}_{(\mathrm{g})}$$ from following equation? $$\mathrm{H}_{2(\mathrm{~g})}+

Identify the concentration of the solution from following so that values of ,$$\Delta \mathrm{T}_{\mathrm{f}}$$ and $$\m

What is the product formed when cumene is air oxidised in presence of Co-naphthenate and further treated with dilute aci

Identify the use of polystyrene for household purposes.

Identify compound $$\mathrm{A}$$ in following reaction Benzene + Ozone (excess) $$\rightarrow$$ Benzenetriozonide $$\xri

Which from following pairs of compounds is an example of metamerism?

If $$\mathrm{Q}$$ is the heat liberated from the system and $$\mathrm{W}$$ is the work done on the system then first law

Calculate the number of atoms in 5 gram metal that crystallises to form simple cubic unit cell structure having edge len

Identify the molecule in which central atom undergoes $$\mathrm{sp}^3$$ hybridisation?

Which one of the following conversions does NOT involve either oxidation or reduction?

Calculate $$\wedge_0$$ of $$\mathrm{CH}_2 \mathrm{ClCOOH}$$ if $$\wedge_0$$ for $$\mathrm{HCl}, \mathrm{KCl}$$ and $$\ma

Identify the product A in the following reaction.

Calculate the amount of solute dissolved in 160 gram solvent that boils at $$85^{\circ} \mathrm{C}$$, the molar mass of

Identify ether from the following compounds.

Which from following polymers is used to obtain bristles for brushes?

What is the $$\mathrm{pH}$$ of $$2 \times 10^{-3} \mathrm{M}$$ solution of monoacidic weak base if it ionises to the ext

$$\int_\limits{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \frac{\mathrm{d} x}{1+\cos x}$$ is equal to

If $$\tan ^{-1}\left(\frac{1-x}{1+x}\right)=\frac{1}{2} \tan ^{-1} x$$, then $$x$$ has the value

If $$p: \forall n \in I N, n^2+n$$ is an even number $$q: \forall n \in I N, n^2-n$$ is an odd numer, then the truth val

If the function $$f(x)=x^3-3(a-2) x^2+3 a x+7$$, for some $$a \in I R$$ is increasing in $$(0,1]$$ and decreasing in $$[

If $$\bar{a}=\hat{\boldsymbol{i}}-\hat{\boldsymbol{k}}, \bar{b}=x \hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+(1-x) \hat{\

If $$\cot (A+B)=0$$, then $$\sin (A+2 B)$$ is equal to

The joint equation of pair of lines through the origin and making an equilateral triangle with the line $$y = 5$$ is

If $$f(x)=\sqrt{\tan x}$$ and $$g(x)=\sin x \cdot \cos x$$ then $$\int \frac{f(x)}{g(x)} \mathrm{d} x$$ is equal to (whe

The general solution of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{3 x+y}{x-y}$$ is (where $$C

If $$A=\left[\begin{array}{lll}1 & 2 & 1 \\ 3 & 1 & 3\end{array}\right]$$ and $$B=\left[\begin{array}{ll}2 & 3 \\ 1 & 2

The distance between parallel lines $$\frac{x-1}{2}=\frac{y-2}{-2}=\frac{z-3}{1}$$ and $$\frac{x}{2}=\frac{y}{-2}=\frac{

Maximum value of $$Z=5 x+2 y$$, subject to $$2 x-y \geq 2, x+2 y \leq 8$$ and $$x, y \geq 0$$ is

The value of $$\sin \left(2 \sin ^{-1} 0.8\right)$$ is equal to

A line makes the same angle '$$\alpha$$' with each of the $$x$$ and $$y$$ axes. If the angle '$$\theta$$', which it make

The negation of the statement pattern $$p \vee(q \rightarrow \sim r)$$ is

Let $$\bar{a}=\hat{\mathbf{i}}-2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$$ and $$\bar{b}=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\ha

The incidence of occupational disease in an industry is such that the workmen have a $$10 \%$$ chance of suffering from

If $$y=\log \sqrt{\frac{1+\sin x}{1-\sin x}}$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=\frac{\pi}{3}$$ is

The variance and mean of 15 observations are respectively 6 and 10 . If each observation is increased by 8 then the new

If $$y=\sin \left(2 \tan ^{-1} \sqrt{\frac{1+x}{1-x}}\right)$$ then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ is equal to

The magnitude of the projection of the vector $$2 \hat{\mathbf{i}}+ 3\hat{\mathbf{j}}+\hat{\mathbf{k}}$$ on the vector p

$$\matrix{ {f(x) = a{x^2} + bx + 1,} & {if} & {\left| {2x - 3} \right| \ge 2} \cr { = 3x + 2,} & {if} & {{1 \ove

If $$\bar{a}=\hat{\boldsymbol{i}}+\hat{\boldsymbol{j}}+\hat{\boldsymbol{k}}, \bar{b}=\hat{\boldsymbol{i}}-\hat{\boldsymb

A tetrahedron has verticles $$P(1,2,1), Q(2,1,3), R(-1,1,2)$$ and $$O(0,0,0)$$. Then the angle between the faces $$O P Q

The principal value of $$\sin ^{-1}\left(\sin \left(\frac{2 \pi}{3}\right)\right)$$ is

The differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\sqrt{1-y^2}}{y}$$ determines a family of circles w

The value of the integral $$\int_\limits0^1 \sqrt{\frac{1-x}{1+x}} \mathrm{~d} x$$ is

If a question paper consists of 11 questions divided into two sections I and II. Section I consists of 6 questions and s

The area (in sq. units) of the region described by $$A=\left\{(x, y) / x^2+y^2 \leq 1\right.$$ and $$\left.y^2 \leq 1-x\

A firm is manufacturing 2000 items. It is estimated that the rate of change of production $$P$$ with respect to addition

$$\int \frac{3 x-2}{(x+1)(x-2)^2} \mathrm{~d} x=$$ (where $$C$$ is a constant of integration)

If the normal to the curve $$y=f(x)$$ at the point $$(3,4)$$ makes an angle $$\left(\frac{3 \pi}{4}\right)^c$$ with posi

If $$P(A \cup B)=0.7, P(A \cap B)=0.2$$, then $$P\left(A^{\prime}\right)+P\left(B^{\prime}\right)$$ is

If $$\lim _\limits{x \rightarrow 1} \frac{x^2-a x+b}{(x-1)}=5$$, then $$(a+b)$$ is equal to

If $$y=\cos \left(\sin x^2\right)$$, then $$\frac{\mathrm{d} y}{\mathrm{~d} x}$$ at $$x=\sqrt{\frac{\pi}{2}}$$ is

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards. Then mean of number of kings is

The polar co-ordinates of the point, whose Cartesian coordinates are $$(-2 \sqrt{3}, 2)$$, are

Let $$z$$ be a complex number such that $$|z|+z=3+i, i=\sqrt{-1}$$, then $$|z|$$ is equal to

Given $$A=\left[\begin{array}{ccc}x & 3 & 2 \\ 1 & y & 4 \\ 2 & 2 & z\end{array}\right]$$, if $$x y z=60$$ and $$8 x+4 y

If $$y^{\frac{1}{m}}+y^{\frac{-1}{m}}=2 x, x \neq 1$$, then $$\left(x^2-1\right)\left(\frac{\mathrm{d} y}{\mathrm{~d} x}

$$\int_\limits0^2[x] \mathrm{d} x+\int_\limits0^2|x-1| \mathrm{d} x=$$ (where $$[x]$$ denotes the greatest integer funct

The equations of the lines passing through the point $$(3,2)$$ and making an acute angle of $$45^{\circ}$$ with the line

If $$[x]$$ is greatest integer function and $$2[2 x-5]-1=7$$, then $$x$$ lies in

The Cartesian equation of a line passing through $$(1,2,3)$$ and parallel to $$x-y+2 z=5$$ and $$3 x+y+z=6$$ is

If the lines $$3 x-4 y-7=0$$ and $$2 x-3 y-5=0$$ pass through diameters of a circle of area $$49 \pi$$ square units, the

A spherical iron ball of $$10 \mathrm{~cm}$$ radius is coated with a layer of ice of uniform thickness that melts at the

$$\int \frac{\sin \frac{5 x}{2}}{\sin \frac{x}{2}} d x=$$ (where $$C$$ is a constant of integration.)

The equation of the plane passing through the points $$(2,3,1),(4,-5,3)$$ and parallel to $$X$$-axis is

$$\text { If } \int e^{x^2} \cdot x^3 \mathrm{~d} x=e^{x^2} \cdot[f(x)+C]$$ (where $$C$$ is a constant of integration.)

The negation of the statement, "The payment will be made if and only if the work is finished in time" is

The magnetic susceptibility of the material of a rod is 349 and permeability of vacuum $$\mu_0$$ is $$4 \pi \times 10^{-

The magnetic flux through a coil of resistance '$$R$$' changes by an amount '$$\Delta \phi$$' in time '$$\Delta \mathrm{

A body weighs $$500 \mathrm{~N}$$ on the surface of the earth. At what distance below the surface of the earth it weighs

Three discs $$\mathrm{x}, \mathrm{y}$$ and $$\mathrm{z}$$ having radii $$2 \mathrm{~m}, 3 \mathrm{~m}$$ and $$6 \mathrm{

A stationary wave is represented by $$\mathrm{y}=10 \sin \left(\frac{\pi \mathrm{x}}{4}\right) \cos (20 \pi \mathrm{t})$

When the rms velocity of a gas is denoted by '$$v$$', which one of the following relations is true? ($$\mathrm{T}=$$ Abs

A parallel plate air capacitor has a uniform electric field 'E' in the space between the plates. Area of each plate is A

Two massless springs of spring constant $$\mathrm{K}_1$$ and $$\mathrm{K}_2$$ are connected one after the other forming

The time taken by a particle executing simple harmonic motion of period '$$\mathrm{T}$$', to move from the mean position

Using Bohr's model, the orbital period of electron in hydrogen atom in the $$\mathrm{n}^{\text {th }}$$ orbit is $$\left

A parallel plate capacitor is charged and then disconnected from the charging battery. If the plates are now moved furth

If the kinetic energy of a free electron doubles, it's de Broglie wavelength ($$\lambda$$) changes by a factor

In the following network, the current through galvanometer will

In a medium, the phase difference between two particles separated by a distance '$$x$$' is $$\left(\frac{\pi}{5}\right)^

The work done in blowing a soap bubble of radius $$\mathrm{R}$$ is '$$\mathrm{W}_1$$' at room temperature. Now the soap

A capacitor of capacitance $$50 \mu \mathrm{F}$$ is connected to a.c. source $$\mathrm{e}=220 \sin 50 \mathrm{t}$$ ($$\m

Two waves are superimposed whose ratio of intensities is $$9: 1$$. The ratio of maximum and minimum intensity is

The masses and radii of the moon and the earth are $$\mathrm{M_1, R_1}$$ and $$\mathrm{M_2, R_2}$$ respectively. Their c

A monoatomic gas $$\left(\gamma=\frac{5}{3}\right)$$ initially at $$27^{\circ} \mathrm{C}$$ having volume '$$\mathrm{V}$

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents '$$\mathrm{I}_1$$' and '$$\m

Self inductance of a solenoid cannot be increased by

For a NAND gate, the inputs and outputs are given below. .tg {border-collapse:collapse;border-spacing:0;} .tg td{borde

An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectorie

The resistance offered by an inductor $$\left(X_L\right)$$ in an a.c. circuit is

The force between the plates of a parallel plate capacitor of capacitance '$$\mathrm{C}$$' and distance of separation of

Consider the following statements about stationary waves. A. The distance between two adjacent nodes or antinodes is equ

If the radius of the spherical gaussian surface is increased then the electric flux due to a point charge enclosed by th

The wave number of the last line of the Balmer series in hydrogen spectrum will be (Rydberg's constant $$=10^7 \mathrm{~

A bucket containing water is revolved in a vertical circle of radius $$r$$. To prevent the water from falling down, the

Two monatomic ideal gases A and B of molecular masses '$$m_1$$' and '$$m_2$$' respectively are enclosed in separate cont

A particle starts oscillating simple harmonically from its mean position with time period '$$T$$'. At time $$t=\frac{T}{

A hollow pipe of length $$0.8 \mathrm{~m}$$ is closed at one end. At its open end, a $$0.5 \mathrm{~m}$$ long uniform st

A graph of magnetic flux $$(\phi)$$ versus current (I) is drawn for four inductors A, B, C, D. Larger value of self indu

A parallel beam of monochromatic light falls normally on a single narrow slit. The angular width of the central maximum

A body moving in a circular path with a constant speed has constant

A steel coin of thickness '$$\mathrm{d}$$' and density '$$\rho$$' is floating on water of surface tension '$$T$$'. The r

A door $$1.2 \mathrm{~m}$$ wide requires a force of $$1 \mathrm{~N}$$ to be applied perpendicular at the free end to ope

The thermodynamic process in which no work is done on or by the gas is

The given circuit has two ideal diodes $$D_1$$ and $$D_2$$ connected as shown in the figure. The current flowing through

In a Fraunhofer diffraction at a single slit of width 'd' and incident light of wavelength $$5500 \mathop A\limits^o$$,

A galvanometer of resistance $$200 \Omega$$ is to be converted into an ammeter. The value of shunt resistance which allo

The speed of light in two media $$M_1$$ and $$M_2$$ are $$1.5 \times 10^8$$ $$\mathrm{m} / \mathrm{s}$$ and $$2 \times 1

The minimum distance between an object and its real image formed by a convex lens of focal length 'f' is

Heat given to a body, which raises its temperature by 1ºC is known as

A shell is fired at an angle of $$30^{\circ}$$ to the horizontal with velocity $$196 \mathrm{~m} / \mathrm{s}$$. The tim

Three equal charges '$$\mathrm{q}_1$$', '$$^{\prime} \mathrm{q}_2$$' and '$$\mathrm{q}_3$$' are placed on the three corn

A coil having an inductance of $$\frac{1}{\pi} \mathrm{H}$$ is connected in series with a resistance of $$300 \Omega$$.

In a full wave rectifier circuit without filter, the output current is

The excess pressure inside a soap bubble of radius $$2 \mathrm{~cm}$$ is 50 dyne/cm$$^2$$. The surface tension is

Two bodies of masses '$$\mathrm{m}$$' and '$$3 \mathrm{~m}$$' are rotating in horizontal speed of the body of mass '$$m$