Calculate wave length for emission of a photon having wave number $11516 \mathrm{~cm}^{-1}$.

Half life of a first order reaction is 1 hour. What fraction of it will remain after 3 hour?

Identify the product of following reaction.

Calculate vapour pressure of a solution containing mixture of 2 moles of volatile liquid A and 3 moles of volatile liqui

Which from following statements about neoprene is false?

Identify neutral sphere complex from following.

Which from following statements is CORRECT about saccharic acid?

Identify ferromagnetic substance from following.

Which from following compounds is used to prepare adipic acid using enzymes in green technology developed by Drath and F

Which from following pairs of compounds exhibits metamerism?

Identify a mineral of zinc from following.

Identify the element having lowest first ionization enthalpy.

Calculate molar mass of an element having density $8.6 \mathrm{~g} \mathrm{~cm}^{-3}$ if it forms bec structure $\left[\

Which from following mixtures in water acts as a basic buffer?

Which from following molecules does not have lone pair of electrons in valence shell of central atom?

Calculate the molar mass of non volatile solute when 1 g of it is dissolved in 100 g solvent decreases its freezing poin

Which from following statements is NOT true about lyophilic colloids?

Calculate the pH of a buffer solution containing 0.35 M weak acid and 0.70 M of its salt with strong base if $\mathrm{pK

Which of the following alkenes does NOT exhibit cis-trans isomerism?

Which of the following reactions occurs at cathode during discharging of lead accumulator?

Identify the product obtained when ethers are dissolved in cold concentrated sulphuric acid.

Identify the chiral molecule from following.

Which compound from following contains iodine with highest oxidation number?

How many isomers of $\mathrm{C_4H_{11}N}$ are secondary amines?

The correct order of reactivity for reactions involving cleavage of $\mathrm{C}-\mathrm{Cl}$ bond in following compounds

Which of the following is Stephen reaction?

How many isotopes of nitrogen are found?

Which of the following colours is developed when alkali metal is dissolved in liquid ammonia?

What is IUPAC name of Acrylic acid?

Which of the following statements is correct regarding isobars?

Calculate the volume of gas at 1.25 atmosphere, if volume occupied by gas at 1 atmosphere and at same temperature is 25

In the Arrhenius plot of logk versus $1 / T$ find the value of intercept on $y$ axis

Which of the following compounds when treated with ammoniacal silver nitrate exhibits silver mirror test?

Which from following polymers is not obtained by addition polymerisation method?

Which of the following symbols represent heat of reaction at constant volume?

For the reaction, $$3 \mathrm{I}_{\mathrm{(aq.)}}^{-}+\mathrm{S}_2 \mathrm{O}_{8(\mathrm{aq.})}^{2-} \longrightarrow 2 \

Identify a ligand having two donor atoms but uses a pair of electrons of either donor atom to form coordinate bond.

Which of the following solutions on complete dissociation exhibits maximum elevation in boiling point?

Calculate the entropy change for melting 1 g ice at $0^{\circ} \mathrm{C}$ in $\mathrm{Jg}^{-1} \mathrm{~K}^{-1}$ if hea

Which pair of elements from following has halt filled d-orbital in observed electronic configuration?

 Calculate the radius of metal atom if it forms bec unit cell having edge length 530 pm.

Calculate the concentration of weak monobasic acid if its degree of dissociation and dissociation constant are $5.0 \tim

Which of the following is a secondary allylic alcohol?

Which of the following set of properties is correct when one mole of a gas is heated keeping volume constant by increasi

The conductivity of 0.005 M NaI solution at $25^{\circ} \mathrm{C}$ is $6.07 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{-1

Which of the following is correct decreasing order of boiling point of compounds?

What is the value of electronegativity of oxygen?

What is IUPAC name of Ethylmethylisopropylamine?

Calculate the amount of electricity required in coulombs to convert 0.08 mol of $\mathrm{MnO}_4^{-}$to $\mathrm{Mn}^{2+}

Which of the following one letter symbol is used to represent aspartic acid?

Suppose A is any $3 \times 3$ non-singular matrix and $(\mathrm{A}-3 \mathrm{I})(\mathrm{A}-5 \mathrm{I})=0$ where $\mat

The lines $\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k} \quad$ and $\frac{x-1}{\mathrm{k}}=\frac{y-4}{2}=\frac{\mathrm{z}-

The variance of first 50 even natural numbers is

The statement pattern $[p \wedge(q \vee r)] \vee[\sim r \wedge \sim q \wedge p]$ is equivalent to

If $8 \mathrm{f}(x)+6 \mathrm{f}\left(\frac{1}{x}\right)=x+5$ and $y=x^2 \mathrm{f}(x)$, then $\frac{\mathrm{d} y}{\math

The number of ways in which 5 boys and 3 girls can be seated on a round table, if a particular boy $B_1$ and a particula

The value of $\cot \left(\operatorname{cosec}^{-1} \frac{5}{3}+\tan ^{-1} \frac{2}{3}\right)$ is

$\int\left(1+x-\frac{1}{x}\right) e^{x+\frac{1}{x}} d x$ equal to

The function $f(x)=\frac{\log _e(\pi+x)}{\log _e(e+x)}$ is

Let $y=y(x)$ be the solution of the differential equation $\sin x \frac{\mathrm{~d} y}{\mathrm{~d} x}+y \cos x=4 x, x \i

The value of $\mathrm{I}=\int \frac{x^2}{(\mathrm{a}+\mathrm{bx})^2} \mathrm{dx}$ is

Let $\quad \overline{\mathrm{a}}=\alpha \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}}, \overline{\mathrm{b}}=3 \h

If $4 a b=3 h^2$, then the ratio of the slope of lines represented by $a x^2+2 \mathrm{~h} x y+\mathrm{b} y^2=0$ is

If $\sin \left(\cot ^{-1}(x+1)\right)=\cos \left(\tan ^{-1} x\right)$ then considering positive square roots, $x$ has th

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

Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability

Let $\left(-2-\frac{1}{3} \mathrm{i}\right)^3=\frac{x+\mathrm{i} y}{27}, \mathrm{i}=\sqrt{-1}$, where $x$ and $y$ are re

The shaded region in the following figure is the solution set of the inequations

Let $\bar{p}$ and $\bar{q}$ be the position vectors of $P$ and $Q$ respectively, with respect to $O$ and $|\vec{p}|=p,|\

The value of a for which the volume of parallelepiped formed by $\hat{i}+a \hat{j}+\hat{k}, \hat{j}+a \hat{k}$ and $a \h

The approximate value of $\log _{10} 1002$ is (Given $\log _{10} \mathrm{e}=0.4343$)

The sum of intercepts on coordinate axes made by tangent to the curve $\sqrt{x}+\sqrt{y}=\sqrt{a}$ is

If the angles of a triangle are in the ratio $4: 1: 1$, then the ratio of the longest side to the perimeter is

Considering only the Principal values of inverse functions, the set $$A=\left\{x \geq 0 \left\lvert\, \tan ^{-1}(2 x)+\t

The line L given by $\frac{x}{5}+\frac{y}{b}=1$ passes through the point $(13,32)$. The line K is parallel to line L and

The integral $\int_{\frac{-1}{2}}^{\frac{1}{2}}\left([x]+\log _{\mathrm{e}}\left(\frac{1+x}{1-x}\right)\right) \mathrm{d

If the function $\mathrm{f}(x)=x^3+\mathrm{e}^{\frac{x}{2}}$ and $\mathrm{g}(x)=\mathrm{f}^{-1}(x)$ then the value of $g

A wire of length 2 units is cut into two parts, which are bent respectively to form a square of side $x$ units and a cir

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

Let $a, b \in R$. If the mirror image of the point $\mathrm{p}(\mathrm{a}, 6,9)$ w.r.t. line $\frac{x-3}{7}=\frac{y-2}{5

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

The number of distinct real values of $\lambda$, for which the vectors $-\lambda^2 \hat{i}+\hat{j}+\hat{k}, \hat{i}-\lam

If $f(x)=\log _e\left(\frac{1-x}{1+x}\right),|x|

Let the vectors $\overline{\mathrm{a}}, \overline{\mathrm{b}}, \overline{\mathrm{c}}$ and $\overline{\mathrm{d}}$ be suc

If $I=\int e^{\sin \theta}\left(\log \sin \theta+\operatorname{cosec}^2 \theta\right) \cos \theta d \theta$, then $I$ is

The equation of the circle which has its centre at the point $(3,4)$ and touches the line $5 x+12 y-11=0$ is

A plane which is perpendicular to two planes $2 x-2 y+z=0$ and $x-y+2 z=4$, passes through $(1,-2,1)$. The distance of t

The value of the expression $\sqrt{3} \operatorname{cosec} 20^{\circ}-\sec 20^{\circ}$ is equal to

Let $\bar{a}, \bar{b}$ and $\overline{\mathrm{c}}$ be three vectors having magnitude 1,1 and 2 respectively. If $\overli

The area bounded between the curves $y=a x^2$ and $x=a y^2(a>0)$ is 1 sq. units, then the value of a is

The integral $\int \sec ^{\frac{2}{3}} x \cdot \operatorname{cosec}^{\frac{4}{3}} x \mathrm{~d} x$ is equal to

If sum of two numbers is 3 , then the maximum value of the product of first number and square of the second number is

Given that the slope of the tangent to a curve $y=y(x)$ at any point $(x, y)$ is $\frac{2 y}{x^2}$. If the curve passes

If $y=\left((x+1)(4 x+1)(9 x+1) \ldots\left(\mathrm{n}^2 x+1\right)\right)^2$, then $\frac{\mathrm{dy}}{\mathrm{d} x}$ a

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

A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet hung in th

$\lim _\limits{x \rightarrow 0} \frac{(1-\cos 2 x)(3+\cos x)}{x \tan 4 x}$ has the value

Let $a, b \in(a \neq 0)$. If the function $f$ is defined as $$f(x)=\left\{\begin{array}{cc} \frac{2 x^2}{\mathrm{a}} & ,

If $(p \wedge \sim q) \wedge(p \wedge r) \rightarrow \sim p \vee q$ is false, then the truth values of $p, q$ and $r$ ar

In $\triangle \mathrm{ABC}$, with usual notations, if $\mathrm{b}=3$, $c=8, \mathrm{~m} \angle \mathrm{~A}=60^{\circ}$,

According to the law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the m

A parallel plate air capacitor, with plate separation ' d ' has a capacitance of 9 pF . The space between the plates is

The collector supply voltage is 6 V and a voltage drop across a resistor of $600 \Omega$ in the collector circuit is 0.6

The velocity of particle executing S.H.M. varies with displacement $(\mathrm{x})$ as $4 \mathrm{~V}^2=50-\mathrm{x}^2$.

For a projectile, the maximum height and horizontal range are same. The angle of projection ' $\theta$ ' of the projecti

For the given figure, choose the correct option.

A disc and a ring both have same mass and radius. The ratio of moment of inertia of the disc about its diameter to that

Two waves $\mathrm{Y}_1=0.25 \sin 316 \mathrm{t} \quad$ and $\mathrm{Y}_2=0.25 \sin 310 \mathrm{t}$ are propagating alon

In a meter bridge experiment, the balance point is obtained if the gaps are closed by $2 \Omega$ and $3 \Omega$. A shunt

Water rises up to height ' $X$ ' in a capillary tube immersed vertically in water. When the whole arrangement is taken t

In an equilateral prism the ray undergoes minimum deviation when it is incident at an angle of $50^{\circ}$. The angle o

A rotating body has angular momentum ' $L$ '. If its frequency is doubled and kinetic energy is halved, its angular mome

The distance between two consecutive points with phase difference of $60^{\circ}$ in wave of frequency 500 Hz is 0.6 m .

A square loop of area $25 \mathrm{~cm}^2$ has a resistance of $10 \Omega$. The loop is placed in uniform magnetic field

The electric potential at the centre of two concentric half rings of radii $R_1$ and $R_2$, having same linear charge de

Which of the following person is in an inertial frame of reference?

A charged particle of charge ' $q$ ' is accelerated by a potential difference ' $V$ ' enters a region of uniform magneti

A simple pendulum of length $l_1$ has time period $\mathrm{T}_1$. Another simple pendulum of length $l_2\left(l_1>l_2\ri

A zener diode, having breakdown voltage 15 V is used in a voltage regulator circuit as shown. The current through the ze

If ' $R$ ' is the radius of earth \& ' $g$ ' is acceleration due to gravity on earth's surface, then mean density of ear

In LCR series circuit if the frequency is increased, the impedance of the circuit

A potentiometer wire of length 1 m is connected in series with $495 \Omega$ resistance and 2 V battery. If $0.2 \mathrm{

A carnot engine, whose efficiency is $40 \%$ takes heat from a source maintained at temperature 600 K . It is desired to

A person is observing a bacteria through a compound microscope. For better analysis and to improve the resolving power h

Two rods of same length \& material transfer a given amount of heat in 12 s when they are joined end to end. But when th

A graph of magnetic flux $(\phi)$ versus current ( 1 ) is shown for four inductors A, B, C, D. Smaller value of self ind

An insulated container contains a monoatomic gas of molar mass ' $m$ '. The container is moving with velocity ' $V$ '. I

A ray of light is incident normally on a glass slab to thickness 5 cm and refractive index 1.6. The time taken to travel

The magnetic moments associated with two closely wound circular coils A and B of radius $r_A=10 \mathrm{~cm}$ and $r_B=2

Focal length of objective of an astronomical telescope is 1.5 m . Under normal adjustment, length of telescope is 1.56 m

The surface of water in a water tank of cross section area $750 \mathrm{~cm}^2$ on the top of a house is ' $h$ ' $m$ abo

A string A has twice the length, twice the diameter, twice the tension and twice the density of another string B. The ov

An inductor of inductance $2 \mu \mathrm{H}$ is connected in series with a resistance, a variable capacitor and an a.c.

Three identical polaroids $P_1, P_2$ and $P_3$ are placed one after another. The pass axis of $P_2$ and $P_3$ are inclin

A semiconductor device X is connected in series with a battery and a resistor. The current of 10 mA is found to pass thr

A solid cylinder of mass M and radius R is rotating about its geometrical axis. A solid sphere of the same mass and same

A circular coil of resistance $R$, area $A$, number of turns ' $N$ ' is rotated about its vertical diameter with angular

The excess pressure inside a spherical drop of water A is four times that of another drop B. Then the ratio of mass of d

A parallel plate capacitor has plate area $40 \mathrm{~cm}^2$ and plate separation 2 mm . The space between the plates i

The height ' $h$ ' above the earth's surface at which the value of acceleration due to gravity $(\mathrm{g})$ becomes $\

In an isobaric process of an ideal gas, the ratio of work done by the system to the heat supplied $\left(\frac{W}{Q}\rig

The threshold frequency of a metal is ' $F_0$ '. When light of frequency $2 F_0$ is incident on the metal plate, the max

A charged particle is moving in a uniform magnetic field in a circular path with radius ' $R$ '. When the energy of the

A massless square loop of wire of resistance ' $R$ ' supporting a mass ' M ' hangs vertically with one of its sides in a

A sphere is at temperature 600 K . In an external environment of 200 K , its cooling rate is ' $R$ ' When the temperatur

A progressive wave of frequency 400 Hz is travelling with a velocity $336 \mathrm{~m} / \mathrm{s}$. How far apart are t

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constants $\mathrm{K}_1$ and

For hydrogen atom, ' $\lambda_1$ ' and ' $\lambda_2$ ' are the wavelengths corresponding to the transitions 1 and 2 resp

A metallic sphere ' A ' isolated from ground is charged to $+50 \mu \mathrm{C}$. This sphere is brought in contact with

For a photosensitive material, work function is ' $\mathrm{W}_0$ ' and stopping potential is ' V '. The wavelength of in