Which of the following set of polymers are used as fibre? (i) Teflon (ii) Starch (iii) Terylene (iv) Orlon

The biodegradable polymer obtained by polymerisation of glycine and aminocaproic acid is

The compound is

Which one of the following is a cationic detergent?

The type of linkage present between nucleotides is

$\alpha-D-(+)$-glucose and $\beta-D-(+)$-glucose are

Propanone and propanal are

Sodium ethanoate on heating with soda lime gives ' $X^{\prime}$. Electrolysis of aqueous solution of sodium ethanoate gi

But-1-yne on reaction with dil. $\mathrm{H}_2 \mathrm{SO}_4$ in presence of $\mathrm{Hg}^{2+}$ ions at 333 K gives

Biologically active adrenaline and ephedrine used to increase blood pressure contain

In the reaction, Aniline $\xrightarrow[\text { Dil. } \mathrm{HCl}]{\mathrm{NaNO}_2} P \xrightarrow[\text { NaOH }]{\tex

The female sex hormone which is responsible for the development of secondary female characteristics and participates in

In the following scheme of reaction. X, y and Z respectively are

8.8 g of monohydric alcohol added to ethyl magnesium iodide in ether liberates $2240 \mathrm{~cm}^3$ of ethane at STP. T

When a tertiary alcohol ' $A^{\prime}\left(\mathrm{C}_4 \mathrm{H}_{10} \mathrm{O}\right)$ reacts with $20 \% \mathrm{H}

PCC is

On treating 100 mL of 0.1 M aqueous solution of the complex $\mathrm{CrCl}_3 \cdot 6 \mathrm{H}_2 \mathrm{O}$ with exces

The complex compounds $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5 \mathrm{SO}_4\right] \mathrm{Br}$ and $\left[\mathr

Which of the following statements are true about $\left[\mathrm{CoF}_6\right]^{3-}$ ion ? I. The complex has octahedral

A haloalkane undergoes $\mathrm{S}_{\mathrm{N}} 2$ or $\mathrm{S}_{\mathrm{N}} 1$ reaction depending on

2-methyl propane can be prepared by Wurtz reaction. The haloalkanes taken along with metallic sodium and dry ether are :

In the analysis of III group basic radicals of salts, the purpose of adding $\mathrm{NH}_4 \mathrm{Cl}(s)$ to $\mathrm{N

Solubility product of $\mathrm{CaC}_2 \mathrm{O}_4$ at a given temperature in pure water is $4 \times 10^{-9}\left(\math

In the reaction between moist $\mathrm{SO}_2$ and acidified permanganate solution.

Which one of the following properties is generally not applicable to ionic hydrides?

Which one of the following nitrate will decompose to give $\mathrm{NO}_2$ on heating ?

Which of the following halides cannot be hydrolysed?

0.48 g of an organic compound on complete combustion produced 0.22 g of $\mathrm{CO}_2$. The percentage of C in the give

In the given sequence of reactions, identify ' $P^{\prime}, Q^{\prime}, R^{\prime}$ and ' $S$ respectively.

The first chlorinated organic insecticide prepared is

Which of the following crystals has the unit cell such that $a=b \neq c$ and $\alpha=\beta=90^{\circ}$, $\gamma=120^{\ci

MnO exhibits

The number of atoms in 4.5 g of a face-centred cubic crystal with edge length 300 pm is (Given : Density $=10 \mathrm{~g

Vapour pressure of a solution containing 18 g of glucose and 178.2 g of water at $100^{\circ} \mathrm{C}$ is (Vapour pre

A mixture of phenol and aniline shows negative deviation from Raoult's law. This is due to the formation of

Which one of the following pairs will show positive deviation from Raoult's law?

How many coulombs are required to oxidise 0.1 mole of $\mathrm{H}_2 \mathrm{O}$ to oxygen?

A current of 3 A is passed through a molten calcium salt for 1 hr 47 min 13 s . The mass of calcium deposited is (Molar

The value of ' $A$ ' in the equation $\lambda_{\mathrm{m}}=\lambda_{\mathrm{m}}^{\circ}-A \sqrt{C}$ is same for the pair

For the reaction, $A \rightleftharpoons B, E_a=50 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $\Delta H=-20 \mathrm{~kJ} \mathr

For the reaction, $\mathrm{PCl}_5 \longrightarrow \mathrm{PCl}_3+\mathrm{Cl}_2$, rate and rate constant are $1.02 \times

Which one of the following does not represent Arrhenius equation?

Identify the incorrect statement

For the coagulations of positively charged hydrated ferric - oxide sol, the flocculating power of the ions is in the ord

Gold sol is not a

The incorrect statement about Hall -Heroult process is

Select the correct statement :

$\mathrm{NO}_2$ gas is

Identify the incorrect statement from the following.

The correct decreasing order of boiling point of hydrogen halides is

The synthetically produced radioactive noble gas by the collision of ${ }_{98}^{249} \mathrm{Cf}$ with ${ }_{20}^{48} \m

The transition element $(\approx 5 \%)$ present with lanthanoid metal in misch metal is

Match the following. I. $\mathrm{Zn}^{2+}\quad$ (i) $d^8$ configuration II. $\mathrm{Cu}^{2+}\quad$ (ii) Colourless III.

Which of the following statements related to lanthanoids is incorrect?

A metalloid is

A pair of isoelectronic species having bond order of one is

Identify the wrong relation for real gases :

From the diagram $(Z)=\frac{V_{\text {real }}}{V_{\text {ideal }}}$ $\Delta_r H$ for the reaction, $C \rightarrow A$ is

For which one of the following mixtures is composition uniform throughout?

The energy associated with first orbit of $\mathrm{He}^{+}$ is

Two finite sets have $m$ and $n$ elements respectively. The total number of subsets of the first set is 56 more than the

If $[x]^2-5[x]+6=0$, where $[x]$ denotes the greatest integer function, then

If in two circles, arcs of the same length subtend angles $30^{\circ}$ and $78^{\circ}$ at the centre, then the ratio of

If $\triangle A B C$ is right angled at $C$, then the value of $\tan A+\tan B$ is

The real value of ' $\alpha$ ' for which $\frac{1-i \sin \alpha}{1+2 i \sin \alpha}$ is purely real is

The length of a rectangle is five times the breadth. If the minimum perimeter of the rectangle is 180 cm , then

The value of ${ }^{49} C_3+{ }^{48} C_3+{ }^{47} C_3+{ }^{46} C_3+{ }^{45} C_3+{ }^{45} C_4$ is

In the expansion of $(1+x)^n$ $\frac{C_1}{C_0}+2 \frac{C_2}{C_1}+3 \frac{C_3}{2}+\ldots+n \frac{C_n}{C_{n-1}}$ is equal

If $S_n$ stands for sum to $n$-terms of a GP with $a$ as the first term and $r$ as the common ratio, then $S_n: S_{2 n}$

If $A M$ and GM of roots of a quadratic equation are 5 and 4 , respectively, then the quadratic equation is

The angle between the line $x+y=3$ and the line joining the points $(1,1)$ and $(-3,4)$ is

The equation of parabola whose focus is $(6,0)$ and directrix is $x=-6$ is

$\lim \limits_{x \rightarrow \frac{\pi}{4}} \frac{\sqrt{2} \cos x-1}{\cot x-1}$ is equal to

The negation of the statement "For every real number $x ; x^2+5$ is positive" is

Let $a, b, c, d$ and $e$ be the observations with mean $m$ and standard deviation $S$. The standard deviation of the obs

Let $f: R \rightarrow R$ be given $f(x)=\tan x$. Then, $f^{-1}(1)$ is

Let $f: R \rightarrow R$ be defined by $f(x)=x^2+1$. Then, the pre images of 17 and $-$3 , respectively are

Let $(g \circ f)(x)=\sin x$ and $f \circ g(x)=(\sin \sqrt{x})^2$. Then,

Let $A=\{2,3,4,5, \ldots, 16,17,18\}$. Let $R$ be the relation on the set $A$ of ordered pairs of positive integers defi

If $\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=3 \pi$, then $x(y+z)+y(z+x)+z(x+y)$ equals to

If $2 \sin ^{-1} x-3 \cos ^{-1} x=4, x \in[-1,1]$, then $2 \sin ^{-1} x+3 \cos ^{-1} x$ is equal to

If $A$ is a square matrix, such that $A^2=A$, then $(I+A)^3$ is equal to

If $A=\left(\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right)$, then $A^{10}$ is equal to

If $f(x)=\left|\begin{array}{ccc}x-3 & 2 x^2-18 & 2 x^3-81 \\ x-5 & 2 x^2-50 & 4 x^3-500 \\ 1 & 2 & 3\end{array}\right|$

If $P=\left[\begin{array}{lll}1 & \alpha & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4\end{array}\right]$ is the adjoint of a $3 \times

If $A=\left|\begin{array}{cc}x & 1 \\ 1 & x\end{array}\right|$ and $B=\left|\begin{array}{ccc}x & 1 & 1 \\ 1 & x & 1 \\

Let $f(x)=\left|\begin{array}{ccc}\cos x & x & 1 \\ 2 \sin x & x & 2 x \\ \sin x & x & x\end{array}\right|$. Then, $\lim

Which one of the following observations is correct for the features of logarithm function to any base $b>1$ ?

The function $f(x)=|\cos x|$ is

If $y=2 x^{3 x}$, then $d y / d x$ at $x=1$ is

Let the function satisfy the equation $f(x+y)=f(x) f(y)$ for all $x, y \in R$, where $f(0) \neq 0$. If $f(5)=3$ and $f^{

The value of $C$ in $(0,2)$ satisfying the mean value theorem for the function $f(x)=x(x-1)^2, x \in[0,2]$ is equal to

$\frac{d}{d x}\left[\cos ^2\left(\cot ^{-1} \sqrt{\frac{2+x}{2-x}}\right)\right]$ is

For the function $f(x)=x^3-6 x^2+12 x-3$; $x=2$ is

The function $x^x ; x>0$ is strictly increasing at

The maximum volume of the right circular cone with slant height 6 units is

If $f(x)=x e^{x(1-x)}$, then $f(x)$ is

$$\int \frac{\sin x}{3+4 \cos ^2 x} d x$$

$\int_{-\pi}^\pi\left(1-x^2\right) \sin x \cdot \cos ^2 x d x$ is

$$\int \frac{1}{x\left[6(\log x)^2+7 \log x+2\right]} d x \text { is }$$

$\int \frac{\sin \frac{3 x}{2}}{\sin \frac{x}{2}} d x$ is

$\int\limits_1^5(|x-3|+|1-x|) d x=$

$$\lim _\limits{n \rightarrow \infty}\left(\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\frac{n}{n^2+3^2}+\ldots+\frac{1}{5 n}\ri

The area of the region bounded by the line $y=3 x$ and the curve $y=x^2$ sq units is

The area of the region bounded by the line $y=x$ and the curve $y=x^3$ is

The solution of $e^{d y / d x}=x+1, y(0)=3$ is

The family of curves whose $x$ and $y$ intercepts of a tangent at any point are respectively double the $x$ and $y$ coor

The vectors $\mathbf{A B}=3 \hat{\mathbf{i}}+4 \hat{\mathbf{k}}$ and $\mathbf{A C}=5 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}

The volume of the parallelopiped whose co terminous edges are $\hat{\mathbf{j}}+\hat{\mathbf{k}}, \hat{\mathbf{i}}+\hat{

Let $\mathbf{a}$ and $\mathbf{b}$ be two unit vectors and $\theta$ is the angle between them. Then, $\mathbf{a}+\mathbf{

If $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ are three non-coplanar vectors and $p, q$ and $r$ are vectors defined by $\

If lines $\frac{x-1}{-3}=\frac{y-2}{2 k}=\frac{z-3}{2}$ and $\frac{x-1}{3 k}=\frac{y-5}{1}=\frac{z-6}{-5}$ are mutually

The distance between the two planes $2 x+3 y+4 z=4$ and $4 x+6 y+8 z=12$ is

The sine of the angle between the straight line $\frac{x-2}{3}=\frac{y-3}{4}=\frac{4-z}{-5}$ are the plane $2 x-2 y+z=5$

The equation $x y=0$ in three-dimensional space represents

The plane containing the point $(3,2,0)$ and the line $\frac{x-3}{1}=\frac{y-6}{5}=\frac{z-4}{4}$ is

Corner points of the feasible region for an LPP are $(0,2),(3,0),(6,0),(6,8)$ and $(0,5)$. Let $Z=4 x+6 y$ be the object

A die is thrown 10 times. The probability that an odd number will come up at least once is

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

If a random variable $X$ follows the binomial distribution with parameters $n=5, p$ and $P(X=2)=9 P(X=3)$, then $p$ is e

The ratio of molar specific heats of oxygen is

For a particle executing simple harmonic motion (SHM), at its mean position

A motor-cyclist moving towards a huge cliff with a speed of $18 \mathrm{kmh}^{-1}$, blows a horn of source frequency 325

A body has a charge of $-3.2 \mu \mathrm{C}$. The number of excess electrons will be

A point charge $A$ of $+10 \mu \mathrm{C}$ and another point charge $B$ of $+20 \mu \mathrm{C}$ are kept 1 m apart in fr

A uniform electric field $E=3 \times 10^5 \mathrm{NC}^{-1}$ is acting along the positive $Y$-axis. The electric flux thr

The total electric flux through a closed spherical surface of radius $r$ enclosing an electric dipole of dipole moment $

Under electrostatic conditien of a charged conductor, which among the following statements is true?

A cube of side 1 cm contains 100 molecules each having an induced dipole moment of $0.2 \times 10^{-6} \mathrm{C}-\mathr

A capacitor of capacitance $5 \mu \mathrm{~F}$ is charged by a battery of emf 10 V . At an instant of time, the potentia

E is the electric field inside a conductor whose material has conductivity $\sigma$ and resistivity $\rho$. The current

In the circuit shown, the end $A$ is at potential $V_0$ and end $B$ is grounded. The electric current $I$ indicated in t

The electric current flowing through a given conductor varies with time as shown in the graph below. The number of free

The $I-V$ graph for a conductor at two different temperatures $100^{\circ} \mathrm{C}$ and $400^{\circ} \mathrm{C}$ is a

An electric blub of $60 \mathrm{~W}, 120 \mathrm{~V}$ is to be connected to 220 V source. What resistance should be conn

In an experiment to determine the temperature coefficient of resistance of a conductor, a coil of wire $X$ is immersed i

A moving electron produces

A coil having 9 turns carrying a current produces magnetic field $B_1$ at the centre. Now the coil is rewounded into 3 t

19. A particle of specific charge $q / m=\pi \mathrm{C} \mathrm{kg}^{-1}$ is projected the origin towards positive $X$-a

The magnetic field at the centre of a circular coil of radius $R$ carrying current $I$ is 64 times the magnetic field at

Magnetic hysterisis is exhibited by ............ magnetic materials

Magnetic susceptibility of Mg at 300 K is $1.2 \times 10^{-5}$. What is its susceptibility at $200 \mathrm{~K} ?$

A uniform magnetic field of strength $B=2 \mathrm{mT}$ exists vertically downwards. These magnetic field lines pass thro

In the figure, a conducting ring of certain resistance is falling towards a current carrying straight long conductor. T

An induced current of 2 A flows through a coil. The resistance of the coil is $10 \Omega$. What is the change in magneti

A square loop of side length $a$ is moving away from an infinitely long current carrying conductor at a constant speed $

Which of the following combinations should be selected for better tuning of an $L-C-R$ circuit used for communication?

In an $L-C-R$ series circuit, the value of only capacitance $C$ is varied. The resulting variation of resonance frequenc

The figure shows variation of $R, X_L$ and $X_C$ with frequency $f$ in a series $L-C-R$ circuit. Then, for what frequen

Electromagnetic waves are incident normally on a perfectly reflecting surface having surface area $A$. If $I$ is the int

The final image formed by an astronomical telescope is

If the angle of minimum deviation is equal to angle of a prism for an equilateral prism, then the speed of light inside

A luminous point object $O$ is placed at a distance $2 R$ from the spherical boundary separating two transparent media o

An equiconvex lens of radius of curvature 14 cm is made up of two different materials. Left half and right half of verti

A galaxy is moving away from the Earth so that a spectral line at 600 nm is observed at 601 nm . Then, the speed of the

Three polaroid sheets are co-axially placed as indicated in the diagram. Pass axes of the polaroids 2 and 3 make $30^{\

In Young's double slit experiment, an electron beam is used to produce interference fringes of width $\beta_1$. Now the

Light of energy $E$ falls normally on a metal of work function $\frac{E}{3}$. The kinetic energies $K$ of the photo elec

The photoelectric work function for photo metal is 2.4 eV . Among the four wavelengths, the wavelength of light for whic

In alpha particle scattering experiment, if $v$ is the initial velocity of the particle, then the distance of closest ap

The ratio of area of first excited state to ground state of orbit of hydrogen atom is

The ratio of volume of $\mathrm{Al}^{27}$ nucleus to its surface area is (Given, $R_0=1.2 \times 10^{-15} \mathrm{~m}$)

Consider the nuclear fission reaction ${ }_0^1 n+{ }_{92}^{235} \mathrm{U} \longrightarrow{ }_{56}^{144} \mathrm{Ba}+{ }

The natural logarithm of the activity $R$ of a radioactive sample varies with time $t$ as shown. At $t=0$, there are $N_

Depletion region in an unbiased semiconductor diode is a region consisting of only free electrons only holes

The upper level of valence band and lower level of conduction band overlap in the case of

In the diagram shown, the Zener diode has a reverse breakdown voltage of $V_Z$. The current through the load resistance

A $p-n$ junction diode is connected to a battery of emf 5.7 V in series with a resistant $5 \mathrm{k} \Omega$ such that

An athlete runs along a circular track of diameter 80 m . The distance travelled and the magnitude of displacement of th

Among the given pair of vectors, the resultant of two vectors can never be 3 units. The vectors are

A block of certain mass is placed on a rough inclined plane. The angle between the plane and the horizontal is 30$^\circ

A particle of mass 500 g is at rest. It is free to move along a straight line. The power delivered to the particle varie

Dimensional formula for activity of a radioactive substance is

A ceiling fan is rotating around a fixed axle as shown. The direction of angular velocity is along .......... .

A body of mass 1 kg is suspended by a weightless string which passes over a frictionless pulley of mass 2 kg as shown in

What is the value of acceleration due to gravity at a height equal to half the radius of the Earth, from its surface ?

A thick metal wire of density $\rho$ and length $L$ is hung from a rigid support. The increase in length of the wire due

Water flows through a horizontal pipe of varying cross-section at a rate of $0.314 \mathrm{~m}^3 \mathrm{~s}^{-1}$. The

A solid cube of mass $m$ at a temperature $\theta_0$ is heated at a constant rate. It becomes liquid at temperature $\th

One mole of an ideal monoatomic gas is taken round the cyclic process MNOM. The work done by the gas is