The molal elevation boiling point constant for water is $0.513^{\circ} \mathrm{C} \mathrm{Kg} \mathrm{mol}^{-1}$. Calcul

Which of the following does not react with cold or hot water?

Identify the product obtained when phenol of heated with Zn dust.

For a zero order reaction $\mathrm{A} \longrightarrow$ product. Conc. of $A$ decreases from $0.8 \mathrm{~mol} \mathrm{~

Find value of Q from following equations. (i) $\mathrm{C}_{(\mathrm{s})}+\mathrm{O}_{2(\mathrm{~g})} \longrightarrow \ma

"A given compound always contains the same proportion of elements" is a statement of -

Identify the correct decreasing order of thermal stability from following.

What is the number of moles of N atoms and number of moles of O atoms respectively present in one mole of uracil?

Which from following molecules exhibits lowest dipole moment?

Identify the number of moles of ethene obtained when n moles of $\mathrm{N}, \mathrm{N}, \mathrm{N}$-triethylpropylammon

What mass of solute (molar mass $58 \mathrm{~g} \mathrm{~mol}^{-1}$) is to be dissolved in $2.5 \mathrm{~dm}^3 \mathrm{~

Which of the following graphs explains Boyle's law?

Identify the compound having highest solubility in water from following?

What is rate constant of a first order reaction if $60 \%$ reactant decompose in 45 minute?

What is the product obtained when benzonitrile is treated with $\mathrm{C}_6 \mathrm{H}_5 \mathrm{MgBr}$ in dry ether an

Which of the following compounds is amphoteric in nature?

What is the energy associated with first orbit of $\mathrm{He}^{+}$?

What is the number of lone pair of electrons involved in IF molecule?

Which ' $c$ ' atom of ribose sugar (numbered from $1^{\prime}$ to $5^{\prime}$ ) bonds with phosphate group to form AMP?

Which from following ligands is able to form linkage isomers?

What is the formula of Hinsberg's reagent?

Which from the following statements is NOT true regarding crystalline solid?

Which is NOT an example of macromolecular colloid?

What type of product is obtained when formaldehyde reacts with $\mathrm{CH}_3 \mathrm{MgBr}$ in dry ether?

Half life of a zero order reaction is directly proportional to ___________

Calculate pH of 0.002 M KOH solution.

What is the wave number of lowest transition in Balmer series?

The limiting molar conductivities $\left(\Lambda_0\right)$ for NaCl , KBr and KCl are 126,152 and $150 \mathrm{~S} \math

If $\mathrm{Cell-OH}$ represents formula of cellulose, identify the formula of cellulose xanthate from following.

Which from following ligands has highest field strength?

Which from following compounds is NOT a mono carboxylic acid?

Find the void volume of bec unit cell in $\mathrm{cm}^3$ if volume of unit cell is $1.5 \times 10^{-22} \mathrm{~cm}^3$.

Which from following carbocations is least stable?

Identify compound Q in following reaction. $$\mathrm{R}-\mathrm{OH}+\mathrm{Q} \longrightarrow \mathrm{R}-\mathrm{Cl}+\m

A conductivity cell dipped on 0.05 M KCl has resistance 600 ohm. If conductivity is $0.0015 \mathrm{ohm}^{-1} \mathrm{~c

Calculate ' $\alpha$ ' for 0.1 M acetic acid $\left(\mathrm{K}_{\mathrm{a}}=1.0 \times 10^{-5}\right)$

Which of the following types of hybridisation result in trigonal geometry?

Which of the following statements is appropriate as per first law of thermodynamics?

Which from following is NOT true about natural rubber?

Identify the element having smallest ionic size in +3 state from following.

Which from following is NOT a dicarboxylic acid?

Calculate the volume of unit cell of an element having molar mass $63.5 \mathrm{~g} \mathrm{~mol}^{-1}$ that forms fcc s

Which from following has highest boiling point?

Which from following alkyl halides has highest boiling point?

What is the cell constant, if two platinum electrodes in conductivity cell are separated by 0.92 cm and area of cross se

Which of the following equation correctly represents molar mass of a solute by knowing boiling point elevation?

In which of the following compounds chlorine has highest oxidation state?

 Given that $$\mathrm{C}_{(\mathrm{g})}+4 \mathrm{H}_{(\mathrm{g})} \longrightarrow \mathrm{CH}_{4(\mathrm{g})} \Delta \

What type of information is collected using FTIR fourier transform infrared spectroscopy?

Which from following lanthanoids exhibits no effective magnetic moment in +3 state?

The equation of the line passing through the point of intersection of the lines $3 x-y=5$ and $x+3 y=1$ and making equal

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

The vectors $\overline{\mathrm{a}}$ and $\overline{\mathrm{b}}$ are not perpendicular and $\overline{\mathrm{c}}$ and $\

If the function $\mathrm{f}(x)=\left(\frac{5 x-8}{8-3 x}\right)^{\frac{3}{2 x-4}}$ if $x \neq 2$. $=\mathrm{k}$ if $x=2$

The domain of definition of $\mathrm{f}(x)=\frac{\log _2(x+3)}{x^2+3 x+2}$ is

The equation of pair of lines $y=p x$ and $y=q x$ can be written as $(y-p x)(y-q x)=0$. Then the equation of the pair of

The equation $(\operatorname{cosp}-1) x^2+(\operatorname{cosp}) x+\sin p=0$ in the variable $x$, has real roots. Then p

If $\overline{\mathrm{a}}=\frac{1}{\sqrt{10}}(4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+\hat{\mathrm{k}}), \overline{\mathrm

Let a random variable X have a Binomial distribution with mean 8 and variance 4 . If $\mathrm{P}(x \leqslant 2)=\frac{\m

If $\bar{a}=a_1 \hat{i}+a_2 \hat{j}+a_3 \hat{k}, \bar{b}=b_1 \hat{i}+b_2 \hat{j}+b_3 \hat{k} \quad$ and $\bar{c}=c_1 \ha

The area of the region, bounded by the parabola $y=x^2+2$ and the lines $y=x, x=0$ and $x=3$, is

If $0 $$\sqrt{1+x^2}\left[\left\{x \cos \left(\cot ^{-1} x\right)+\sin \left(\cot ^{-1} x\right)\right\}^2-1\right]^{\fr

For the probability distribution .tg {border-collapse:collapse;border-spacing:0;} .tg td{border-color:black;border-sty

The number of all values of $\theta$ in the interval $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ satisfying the equatio

Two cards are drawn successively with replacement from a well- shuffled pack of 52 cards. Let X denote the random variab

The curve $y=a x^3+b x^2+c x+5$ touches the $x$-axis at $(-2,0)$ and cuts the $y$-axis at a point Q where its gradient i

Let $\mathrm{L}_1$ $\frac{x+1}{3}=\frac{y+2}{2}=\frac{z+1}{1}$ and $\mathrm{L}_2: \frac{x-2}{2}=\frac{y+2}{1}=\frac{z-3}

If $y=a \log x+b x^2+x$ has its extreme value at $x=-1$ and $x=2$, then the value of $a+b$ is

The value of the integral $\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}}\left(x^2+\log \frac{\pi-x}{\pi+x}\right) \cos x d x$ is

For the system $x-y+z=4,2 x+y-3 z=0$, $x+y+z=2$, the values of $x, y, z$ respectively are given by

The value of $\int \sin \sqrt{x} \mathrm{dx}$ is equal to

If the vectors $\overline{A B}=3 \hat{i}+4 \hat{k}$ and $\overline{A C}=5 \hat{i}-2 \hat{j}+4 \hat{k}$ are the sides of

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

If $\mathrm{f}\left(\frac{x-4}{x-2}\right)=2 x+1, x \in \mathbb{R}-\{1,-2\}$, then $\int \mathrm{f}(x) \mathrm{d} x$ is

If $\sin (\theta-\alpha), \sin \theta$ and $\sin (\theta+\alpha)$ are in H.P., then the value of $\cos ^2 \theta$ is

The equation of the plane passing through the point $(1,1,1)$ and perpendicular to the planes $2 x-y-2 z=5$ and $3 x-6 y

The tangent to the circle $x^2+y^2=5$ at $(1,-2)$ also touches the circle $x^2+y^2-8 x+6 y+20=0$ then the co-ordinates o

The general solution of the differential equation $x \cos y \mathrm{~d} y=\left(x \mathrm{e}^{\mathrm{x}} \log x+\mathrm

The equation $(\operatorname{cosp}-1) x^2+(\cos p) x+\operatorname{sinp}=0$ in the variable $x$, has real roots. Then p

A committee of 11 members is to be formed from 8 males and 5 females. If $m$ is the number of ways the committee is form

If $y=[(x+1)(2 x+1)(3 x+1) \ldots \ldots \ldots(n x+1)]^4$ then $\frac{\mathrm{d} y}{\mathrm{~d} x}$ at $x=0$ is

Let $\alpha$ and $\beta$ be two real roots of the equation $(k+1) \tan ^2 x-\sqrt{2} \lambda \tan x=(1-k)$ where $k(\neq

Let $\overline{\mathrm{a}}=\hat{\mathrm{j}}-\hat{\mathrm{k}}$ and $\overline{\mathrm{c}}=\hat{\mathrm{i}}-\hat{\mathrm{j

The maximum value of $\mathrm{Z}=x+y$, subjected to $x+y \leq 10,5 x+3 y \geq 15, x \leq 6, x, y \geq 0$

Equation of the plane containing the straight line $\frac{x}{2}=\frac{y}{3}=\frac{z}{4}$ and perpendicular to the plane

The new switching circuit for the following circuit by simplifying the given circuit is

The minimum value of the function $\mathrm{f}(x)=2 x^3-15 x^2+36 x-48$ on the set $\mathrm{A}=\left\{x \mid x^2+20 \leqs

For each $x \in \mathbb{R}$, Let $[x]$ represent greatest integer function, then $\lim _{x \rightarrow 0^{-}} \frac{x([x

If order and degree of the differential equation $\left(\frac{\mathrm{d}^2 y}{\mathrm{~d} x^2}\right)^5+4 \frac{\left(\f

A student scores the following marks in five tests : $54,45,41,43,57$. His score is not known for the sixth test. If the

If $y=\tan ^{-1}\left(\frac{3+2 x}{2-3 x}\right)+\tan ^{-1}\left(\frac{3 x}{1+4 x^2}\right)$, then $\frac{\mathrm{d} y}{

The value of c for which Rolle's theorem for the function $\mathrm{f}(x)=x^3-3 x^2+2 x$ in the interval $[0,2]$ are

If $A(-4,5, P), B(3,1,4)$ and $C(-2,0, q)$ are the vertices of a triangle $A B C$ and $G(r, q, 1)$ is its centroid, then

The value of $\int \mathrm{e}^x\left(\frac{1-\sin x}{1-\cos x}\right) \mathrm{dx}$ is equal to

If a body cools from $80^{\circ} \mathrm{C}$ to $60^{\circ} \mathrm{C}$ in the room temperature of $30^{\circ} \mathrm{C

Derivative of $\sin ^2 x$ with respect to $e^{\cos x}$

On which of the following lines lies the point of intersection of the line, $\frac{x-4}{2}=\frac{y-5}{2}=\frac{z-3}{1}$

$$\sim[(\mathrm{p} \vee \sim \mathrm{q}) \rightarrow(\mathrm{p} \wedge \sim \mathrm{q})] \equiv$$

If $z^2+z+1=0$ then $\left(z^3+\frac{1}{z^3}\right)^2+\left(z^4+\frac{1}{z^4}\right)^2=$ where $z=w=$ complex cube root

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

A gas expands in such a way that its pressure and volume satisfy the condition $\mathrm{PV}^2=$ constant. Then the tempe

A thin ring of radius ' $R$ ' carries a uniformly distributed charge. The ring rotates at constant speed ' $N$ ' r.p.s.

The r.m.s. velocity of gas molecules kept at temperature $27^{\circ} \mathrm{C}$ in a vessel is $61 \mathrm{~m} / \mathr

A regular hexagon of side 10 cm has a charge $1 \mu \mathrm{C}$ at each of its vertices. The potential at the centre of

A wheel of radius 1 m rolls through $180^{\circ}$ over a plane surface. The magnitude of the displacement of the point o

The end correction of resonance tube is 1 cm. If the shortest length resonating with a tuning fork is 15 cm , the next r

When 80 volt d.c. is applied across a solenoid, a current of 0.8 A flows in it. When 80 volt a.c. is applied across the

The earth is assumed to be a sphere of radius ' $R$ ' and mass ' $M$ ' having period of rotation ' $T$ '. The angular mo

When a galvanometer is shunted by a resistance ' $S$ ', its current capacity increases ' $n$ ' times. If the same galvan

In projectile motion two particles of masses $\mathrm{m}_1$ and $m_2$ have velocities $\vec{V}_1$, and $\vec{V}_2$ respe

The magnetic susceptibility of the material of a rod is 599. The absolute permeability of the material of the rod will b

If ' $l$ ' is the length of pipe, ' $r$ ' is the internal radius of the pipe and ' $v$ ' is the velocity of sound in air

A charged particle is moving along a magnetic field line. What is the magnetic force acting on the particle? $\left(\sin

A diatomic gas undergoes adiabatic change. Its pressure P and temperature T are related as $\mathrm{P} \propto \mathrm{T

The height at which the weight of the body becomes $\frac{1^{\text {th }}}{16}$ of its weight on the surface of the eart

A transformer is used to set up an alternating e.m.f. of 220 V to 4.4 kV to transmit 6.6 kW of power. The primary coil h

A monoatomic gas is heated at constant pressure. The percentage of total heat used for doing external work is

A parallel plate capacitor is charged and then isolated. If the separation between the plates is increased, which one of

The ratio of the radius of the first Bohr orbit to that of the second Bohr orbit of the orbital electron is

White light is incident on the interface of glass and air as shown in figure. If green light is just totally internally

Two loops ' $A$ ' and ' $B$ ' of radii ' $R_1$ ' and ' $R_2$ ' are made from uniform wire. If moment of inertia of ' A '

A series LCR circuit containing a resistance ' R ' has angular frequency ' $\omega$ '. At resonance the voltage across r

The period of a simple pendulum gets doubled when

The Boolean expression for ' $x-O R$ ' gate $C=(A \oplus B)$ is equal to

Two identical metal spheres are kept in contact with each other, each having radius ' $R$ ' cm and ' $\rho$ ' is the den

A violin emits sound waves of frequency ' $n_1$ ' under tension T. When tension is increased by $44 \%$, keeping the len

The graph of stopping potential ' $\mathrm{V}_{\mathrm{s}}$ ' against frequency ' $v$ ' of incident radiation is plotted

A steel ball of radius 6 mm has a terminal speed of $12 \mathrm{cms}^{-1}$ in a viscous liquid. What will be the termina

Two coils are kept near each other. When no current passess through first coil and current in the $2^{\text {nd }}$ coil

Two rods, one of copper ( Cu$)$ and the other of iron ( Fe ) having initial lengths $\mathrm{L}_1$ and $\mathrm{L}_2$ re

Frequency of a particle performing S.H.M. is 10 Hz . The particle is suspended from a vertical spring. At the highest po

Two charged particles each having charge ' $q$ ' and mass ' $m$ ' are held at rest while their separation is ' $r$ '. Th

The pressure inside a soap bubble $A$ is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of vo

In Young's double slit experiment, in an interference pattern, second minimum is observed exactly in front of one slit.

An observer moves towards a stationary source of sound with a velocity of one-fifth of the velocity of sound. The percen

A diatomic molecule has moment of inertia ' I ', By applying Bohr's quantization condition, its rotational energy in the

The frequency of incident light falling on a photosensitive material is doubled, the K.E. of the emitted photoelectrons

A screen is placed at 50 cm from a single slit, which is illuminated with light of wavelength 600 nm . If separation bet

A rod of length ' $l$ ' is rotated with angular velocity ' $\omega$ ' about its one end, perpendicular to a magnetic fie

A convex lens of focal length ' $f$ ' produces a real image whose size is ' $n$ ' times the size of an object. The dista

A liquid drop of density ' $\rho$ ' is floating half immersed in a liquid of density ' $d$ '. If ' $T$ ' is the surface

When the electron orbiting in hydrogen atom in its ground state moves to the third excited state, the de-Broglie wavelen

When a particle in linear S.H.M. completes two oscillations, its phase increases by

Resistances in the left gap and right gap of a meter bridge are $10 \Omega$ and $30 \Omega$ respectively. If the resista

A charge $+Q$ is placed at each of the diagonally opposite corners of a square. A charge -q is placed at each of the oth

A 42 mH inductor is connected to $200 \mathrm{~V}, 50 \mathrm{~Hz}$ a.c. supply. The r.m.s. value of current in the circ

In Young's double slit experiment using monochromatic light of wavelength ' $\lambda$ ', the intensity of light at a poi

Which one of the following statements is true? A p-type semiconductor is doped with

The specific heat of argon at constant pressure and constant volume are $C_p$ and $C_v$ respectively. It's density ' $\r

The combination of NAND gates is shown in figure (I) and (II). For the given inputs, the outputs in both the combination