How many amino acids are linked together by $(\mathrm{n}-1)$ amide bonds?

What is the percentage by mass of oxygen in NaOH ? (Atomic mass of $\mathrm{Na}=23 \mathrm{u}, \mathrm{O}=16 \mathrm{u},

For the reaction $$\begin{aligned} & 2 \mathrm{NO}_{(\mathrm{s})}+2 \mathrm{H}_{2(\mathrm{~g})} \longrightarrow \mathrm{

Identify the alloy used for construction of gas turbine engines.

Calculate the partial pressure exerted by dioxygen from a mixture of $32 \mathrm{~g} \mathrm{O}_2, 80 \mathrm{~g} \mathr

What is IUPAC name of following compound?

Which among the following is ferromagnetic substance?

What is $\mathrm{O}-\mathrm{O}$ bond length in ozone molecule?

Find the number of electrons that generate 1 coulomb charge?

Which among the following statements is NOT true about rate constant?

Calculate the oxidation number of Cr in $\mathrm{CrO}_4^{2-}$ ion and $\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$ respecti

Identify the monomer used to obtain a polymer that resembles the wool.

Which from following is a correct stability order of complex formed by metal ions if the ligand remains same?

Aldol condensation reaction is

What is the numerical difference in molar masses of second and third member of a homologous series?

What is the number of chiral carbon atoms present in 2-chloro-3,4-dimethylhexane?

Which of the following is a primary amine?

The $\mathrm{E}_{\text {cell }}^{+}$of $\mathrm{Cu}_{(\mathrm{s})}\left|\mathrm{Cu}_{(\mathrm{1M})}^{++} \| \mathrm{Ag}_

Conjugate acid of $\mathrm{NH}_2^{-}$and $\mathrm{NH}_3$ are respectively

Calculate the value of $\Delta G$ for the following reaction. $\mathrm{N}_2 \mathrm{O}_{4(\mathrm{~g})} \longrightarrow

Calculate the radius of first orbit of $\mathrm{Li}^{++}$.

Which from following polymers (trade name) is used to obtain paints?

What is the number of electrons lost by Cr in a complex $\left[\mathrm{Cr}(\mathrm{CO})_6\right]$ ?

Identify the reagent ' R ' used in the following reaction. Ketone $\xrightarrow{\mathbf{R}}$ Semicarbazone

Identify alkadiene molecule from following.

Identify the product obtained in the following reaction. $$\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{Br}+\mathrm{CH}_3 \mathrm

Identify the reagent R used in following conversion? tert-butyl bromide $\xrightarrow{\mathrm{R}}$ Isobutylene

Calculate the mass of ' Ca ' deposited at cathode by passing 0.8 ampere current through molten $\mathrm{CaCl}_2$ in 60 m

What is the expected value of $\Delta T_f$ for $1.25 \mathrm{~m} \mathrm{CaCl}_2$ solution if 1.25 m sucrose solution ha

Calculate Henry's law constant if solubility of gas in water at $25^{\circ} \mathrm{C}$ is $5.14 \times 10^{-4} \mathrm{

What is the total number of orbitals present in N shell?

What is value of percent atom economy when reactants having sum of formula weight 78 u results in the formation of a pro

Identify the product formed in the following reaction. $\mathrm{CH_3CH_2MgBr}$ $$\mathrm{\mathrel{\mathop{\kern0pt\longr

Which from following is a mineral of copper?

Identify dispersed phase and dispersion medium in fog respectively.

Ethers when dissolved in cold concentrated sulfuric acid forms,

Calculate the total volume occupied by all atoms in simple cubic unit cell if radius of atom is $3 \times 10^{-8} \mathr

Under similar conditions enthalpy of freezing is exactly opposite to

A buffer solution is prepared by mixing $0.2 \mathrm{~M} \mathrm{~NH} \mathrm{O}_4 \mathrm{OH}$ and $1 \mathrm{~M} \math

A solution of nonvolatile solute is obtained by dissolving 0.8 g in $0.3 \mathrm{dm}^3$ water has osmotic pressure 0.2 a

Which of the following molecules is an example of sp hybridization?

A first order reaction takes 40 minute for $20 \%$ decomposition. Calculate its rate constant.

What is the number of moles of water molecules present in a mole of carnallite?

What is the number of amino acids present in single turn of $\alpha$-helix of protein?

Which from following compounds is obtained as by product in synthesis of sodium carbonate by Solvay process?

 Which of the following compounds is NOT a phenol?

A compound is formed by two elements A and B. The atoms of element B form ccp structure. The atoms of A occupy $\frac{1}

Which of the following isomers of $\mathrm{C}_4 \mathrm{H}_9 \mathrm{Br}$ is a chiral molecule?

The dissociation constant of a weak monobasic acid is $3.2 \times 10^{-4}$. Calculate the degree of dissociation in its

100 ml of $\mathrm{H}_{2(\mathrm{~g})}$ and 100 ml of $\mathrm{Cl}_{2(\mathrm{~g})}$ were allowed to react at 1 bar pres

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

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

The value of $\int \frac{\mathrm{d} x}{7+6 x-x^2}$ is equal to

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

If $\int \frac{\mathrm{d} x}{1+3 \sin ^2 x}=\frac{1}{2} \tan ^{-1}(\mathrm{f}(x))+\mathrm{c}$, where c is a constant of

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

Let $f:[-1,3] \rightarrow \mathbb{R}$ be defined as $$\left\{\begin{array}{lc} |x|+[x], & -1 \leqslant xwhere $[t]$ deno

Let $\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{b}}=\hat{\mathrm{i}}-\h

The differential equation, having general solution as $A x^2+B y^2=1$, where $A$ and $B$ are arbitrary constants, is

Let $z$ be a complex number such that $|z|+z=2+i$, where $i=\sqrt{-1}$, then $|z|$ is equal to

If $\overline{\mathrm{a}}$ and $\overline{\mathrm{b}}$ are two unit vectors such that $5 \overline{\mathrm{a}}+4 \overli

The value of $\int \frac{\sec x \cdot \tan x}{9-16 \tan ^2 x} \mathrm{dx}$ is equal to

If $n(A)=4, n(B)=2$. Then the number of subsets of the set $\mathrm{A} \times \mathrm{B}$ each having at least 3 element

A radio active substance has half-life of $h$ days, then its initial decay rate is given by Note that at $\mathrm{t}=0,

If $(a+\sqrt{2} b \cos x)(a-\sqrt{2} b \cos y)=a^2-b^2$, where $\mathrm{a}>\mathrm{b}>0$, then $\frac{\mathrm{d} x}{\mat

Contrapositive of the statement. 'If two numbers are equal, then their squares are equal' is

Let A and B be $3 \times 3$ real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the syste

If $\mathrm{f}(x)=x^3-10 x^2+200 x-10$, then

The number of common tangents to the circles $x^2+y^2-x=0$ and $x^2+y^2+x=0$ is /are

Let $\bar{a}=2 \hat{i}+\hat{j}-2 \hat{k}$ and $\bar{b}=\hat{i}+\hat{j}$. If $\bar{c}$ is a vector such that $\overline{\

The equation $\mathrm{e}^{\sin x}-\mathrm{e}^{-\sin x}=4$ has ̱_________ solutions.

The value of $\int \frac{d x}{5+4 \sin x}$ is equal to

If $p \rightarrow(q \vee r)$ is false, then the truth values of $\mathrm{p}, \mathrm{q}, \mathrm{r}$ are respectively

The area of the region bounded by curves $y=3 x+1, y=4 x+1$ and $x=2$ is

The region represented by the inequations $2 x+3 y \leqslant 18, x+y \geqslant 10, x \geqslant 0, y \geqslant 0$ is

Let $\mathrm{f}(x)=(x+1)^2-1, x \geqslant-1$, then the set $\left\{x / f(x)=f^{-1}(x)\right\}$ is

The probability, that a year selected at random will have 53 Mondays, is

Let $\mathrm{L}_1: \frac{x+2}{5}=\frac{y-3}{2}=\frac{\mathrm{z}-6}{1}$ and $\mathrm{L}_2: \frac{x-3}{4}=\frac{y+2}{3}=\f

A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is corre

The perpendicular distance from the origin to the plane containing the two lines $\frac{x+2}{3}=\frac{y-2}{5}=\frac{z+5}

The number of integral values of k for which the equation $7\cos x+5\sin x=2k+1$ has a solution, is

The value of integral $\int_\limits{-2}^0\left(x^3+3 x^2+3 x+5+(x+1) \cos (x+1)\right) d x$ is equal to

If $x=2 \cos \theta-\cos 2 \theta$ and $y=2 \sin \theta-\sin 2 \theta$, then $\frac{\mathrm{d}^2 y}{d x^2}$ is equal to

$2 \pi-\left(\sin ^{-1} \frac{4}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{16}{65}\right)$ is equal to

If two sides of a square are $4 x+3 y-20=0$ and $4 x+3 y+15=0$, then the area of the square is

Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area

Let $a, b, c$ be three non-zero real numbers such that the equation $\sqrt{3} \mathrm{a} \cos x+2 b \sin x=c$, $x \in\le

Let $P(2,1,5)$ be a point in space and $Q$ be a point on the line $\bar{r}=(\hat{i}-\hat{j}+2 \hat{k})+\mu(-3 \hat{i}+\h

$$\lim _\limits{x \rightarrow \frac{\pi}{2}} \frac{\left(1-\tan \left(\frac{x}{2}\right)\right)(1-\sin x)}{\left(1+\tan

A ladder 5 m in length is leaning against a wall. The bottom of the ladder is pulled along the ground away from the wall

If the equation $\cos ^4 \theta+\sin ^4 \theta+\lambda=0$ has real solutions for $\theta$, then $\lambda$ lies in the in

The equation of the tangent to the parabola $y^2=8 x$, which is parallel to the line $4 x-y+3=0$ is

The centroid of tetrahedron with vertices $\mathrm{P}(5,-7,0), \mathrm{Q}(\mathrm{a}, 5,3), \mathrm{R}(4,-6, b)$ and $\m

The approximate value of $3^{2.001}$, if $\log 3=1.0986$ is

If the vectors $\overline{\mathrm{a}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}, \overline{\mathrm{b}}=2 \hat

If $\bar{u}, \bar{v}$ and $\bar{w}$ are three non-coplanar vectors, then $(\bar{u}+\bar{v}-\bar{w}) \cdot[(\bar{u}-\bar{

The value of $k$, if the slope of one of the lines given by $4 x^2+k x y+y^2=0$ is four times that of the other, is give

The differential equation of $y=\mathrm{e}^x\left(\mathrm{a}+\mathrm{bx}+x^2\right)$ is

The mean of the numbers $a, b, 8,5,10$ is 6 and the variance is $6.8$ . Then which of the following gives possible value

Let $\overline{\mathrm{u}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}, \overline{\mathrm{v}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}$ a

A thin uniform metal rod of mass ' $M$ ' and length ' $L$ ' is swinging about a horizontal axis passing through its end.

When the number of turns in a coil are made 3 times without any change in the length of the coil, its self inductance be

When a system is taken from state ' $a$ ' to state ' $c$ ' along a path abc, it is found that $\mathrm{Q}=80 \mathrm{cal

The driver of a car travelling with a speed ' $V_1$ ' $\mathrm{m} / \mathrm{s}$ towards a wall sounds a siren of frequen

When a mercury drop of radius ' $R$ ' splits up into 1000 droplets of radius ' $r$ ', the change in surface energy is (

Two different logic gates giving output ' 1 ' for the inputs $(1,0)$ and then for $(0,1)$ are

An open organ pipe of length ' $l$ ' is sounded together with another open organ pipe of length $\left(l+l_1\right)$ in

When a coil is connected to a d.c. source of e.m.f. 12 volt; then the current of 4 A flows in it . If the same coil is c

The ratio of work done by an ideal rigid diatomic gas to the heat supplied by the gas in an isobaric process is

A galvanometer has resistance $80 \Omega$ and it is shunted with resistance $20 \Omega$. If $20 \%$ of the main current

The weights of an object are measured in a coal mine of depth ' $h_1$ ', then at sea level of height ' $h_2$ ' and lastl

The angle of contact between glass and water is $0^{\circ}$ and water rises in a glass capillary upto 6 cm (Surface tens

In double slit experiment, instead of taking slits of equal widths, one slit is made twice as wide as the other. Then in

Two parallel wires separated by distance 'b' are carrying equal current ' $I$ ' in the same direction. The force per uni

In an a.c. circuit, the reactance of a coil is $\sqrt{3}$ times its resistance. The phase difference between the voltage

Three thin rods, each of mass ' $M$ ' and length ' $L$ ' are placed along $\mathrm{X}, \mathrm{Y}$ and Z axes which are

For a symmetric (equilateral) prism, the prism formula can be written as

The internal energy of an ideal diatomic gas corresponding to volume ' $V$ ' and pressure ' P ' is 2.5 PV. The gas expan

Two photons having energies twice and thrice the work function of metal are incident one after another on the metal surf

If a unit positive charge is shifted from a region of low potential to a region of high potential, then the electric pot

Magnetic induction produced at the centre of a circular loop of radius ' $R$ ' carrying a current is ' B '. The magnetic

The pulleys and strings shown in figure are smooth and of negligible mass. For the system to remain in equilibrium, angl

In biprism experiment, the fringe width is 0.6 mm . The distance between $6^{\text {th }}$ dark fringe and $8^{\text {th

A radioactive substance has half-life of 60 minute. During 3 hour, the amount of substance decayed would be

A horizontal platform with a small object placed on it executes a linear S.H.M. in the vertical direction. The amplitude

In Young's double slit experiment, 'I' is the minimum intensity and ' $I_1$ ' is the intensity at a point where the path

For a ray of light, the critical angle is minimum, when it travels from

Four moles of hydrogen, two moles of helium and one mole of water vapour form an ideal gas mixture. $\left[C_{\mathrm{v}

Electrons are accelerated through a potential difference of 16 kV . If the potential difference is increased to 64 kV ,

Starting from mean position, a body oscillates simple harmonically with a period ' $T$ '. After what time will its kinet

Two solenoids of equal number of turns have their lengths as well as radii in the same ratio $1: 3$. The ratio of their

In an extrinsic n-type semiconductor, the free electrons donated by the impurity atoms occupy energy levels in

If the angular velocity of a body rotating about the given axis increases by $20 \%$, then its kinetic energy of rotatio

Two progressive waves $Y_1=\sin 2 \pi\left(\frac{t}{0 \cdot 4}-\frac{x}{4}\right)$ and $Y_2=\sin 2 \pi\left(\frac{t}{0 \

The strength of magnetic field at a perpendicular distance ' $x$ ' near a long straight conductor carrying current ' I '

The ratio of the areas of the electron orbits for the second excited state to the first excited state for the hydrogen a

Two point charges $+8 q$ and $-2 q$ are located at $\mathrm{X}=0$ (origin) and $\mathrm{X}=\mathrm{L}$ respectively. The

A series $\mathrm{L}-\mathrm{C}-\mathrm{R}$ circuit containing a resistance ' $R$ ' has angular frequency ' $\omega$ '.

Consider a long uniformly charged cylinder having constant volume charge density ' $\lambda$ ' and radius ' $R$ '. A Gau

Two capillary tubes A and B of the same internal diameter are kept vertically in two different liquids whose densities a

For a transistor, current gain $(\beta)=50$. To change the collector current by $350 \mu \mathrm{~A}$, the base current

A sheet of steel is 40 cm long and 5 cm broad at $0^{\circ} \mathrm{C}$. The surface area of the sheet increases by $1.4

When a sonometer wire vibrates in third overtone there are

Alternating current of peak value $\left(\frac{2}{\pi}\right)$ A flows through the primary coil of a transformer. The co

Three condensers of capacities ' $\mathrm{C}_1$ ', ' $\mathrm{C}_2$ ', ' $\mathrm{C}_3$ ' are connected in series with a

The maximum velocity of a particle, executing S.H.M. with an amplitude 7 mm is $4.4 \mathrm{~ms}^{-1}$ The period of os

A satellite of mass ' $m$ ' is revolving around the earth of mass ' $M$ ' in an orbit of radius ' $r$ ' with constant an

A cell balances against a length of 150 cm on a potentiometer wire when it is shunted by a resistance of $5 \Omega$. But

A quantity of heat ' $Q$ ' is supplied to monoatomic ideal gas which expands at constant pressure. The fraction of heat

A body of mass 1 kg starts from rest and moves with uniform acceleration. In 2 seconds, its velocity is $10 \mathrm{~m}