The solubility product of AgBr is $4.9 \times 10^{-13}$ at a certain temperature. Calculate the solubility.

Which of the following reagents is used to convert $\mathrm{C} \equiv \mathrm{C}$ triple bond to $\mathrm{C}=\mathrm{C}$ double bond to give Cis isomer of alkene?

Which of the following changes takes place at positive electrode during recharging of lead accumulator?

Identify neutral aminoacid from following list represented by three letter symbols.

Identify the order of following reaction?

$$ 2 \mathrm{NO}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} $$

Identify the products of following reaction?

Formaldehyde + Benzaldehyde$\xrightarrow[\text { ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {i) conc. } \mathrm{NaOH}}$ Products

What is the coordination number of a particle in simple cubic close packed structure?

Which of the following does NOT exhibit haloform reaction?

What is the expected order of basic strength of different compounds from following.

Calculate the change in internal energy of the system if work done by the system is 18 joule and absorbs heat 50 joule in a particular reaction.

Equal masses of helium and oxygen are mixed in an empty container at $25^{\circ} \mathrm{C}$. What is the fraction of the total pressure exerted by helium?

What is the number of oxygen atoms bonded to chlorine in its strongest oxoacid?

Dissociation constant of 0.01 M weak acid is $10^{-4}$. What is percent dissociation of acid?

Which among the following gases is least adsorbed on solid at similar conditions of temperature and pressure?

What are the positions of ' $N$ ' atoms present in purine ring of nucleic acids?

Identify the product ' $A$ ' formed in the following reaction.

Rate of the reaction $\mathrm{A}+\mathrm{B} \longrightarrow$ product is $3.6 \times 10^{-2} \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$ and rate law is $\mathrm{r}=\mathrm{k}[\mathrm{A}][\mathrm{B}]^2$. What is rate constant of the reaction if $[\mathrm{A}]=0.2 \mathrm{M}$ and $[\mathrm{B}]=0.1 \mathrm{M}$ ?

Find out the total number of electrons present in 3.2 g methane?

Which among the following salt turns blue litmus red in its aqueous solution?

Which lanthanoid from following may exhibit +4 oxidation state with $f^0$ configuration?

Which among the following compounds does NOT form intermolecular hydrogen bonding?

What is the common name of Benzene-1,3-diol?

Identify a medicinal compound having amide linkage.

Which among the following has highest boiling point?

What is the numerical value of osmotic pressure of 1 M urea solution if numerical value of osmotic pressure of 0.5 M urea solution is ' $x$ '?

Calculate vapour pressure of volatile liquid A at given temperature if mole fraction and vapour pressure of volatile liquid B are 0.4 and 900 mm Hg respectively [ $\mathrm{P}_{\text {total }}=600 \mathrm{~mm} \mathrm{Hg}$ ]

Identify from following the correct set of thermodynamic conditions for a reaction to be nonspontaneous at all temperatures.

"It is impossible to determine simultaneously the exact position and exact momentum of an electron." This statement is called

Which of the following statements is false about oxygen and sulphur?

Calculate rate constant of a first order reaction having pre exponential factor $1.6 \times 10^{13} \mathrm{~s}^{-1}$.

$$ \left(\mathrm{E}_{\mathrm{a}} / 2.303 \mathrm{RT}=21\right) $$

What is the difference in molar mass of Undecane and Dodecane?

Which cation from following exhibits no magnetic moment?

Identify the product when chlorobenzene is heated with nitrating mixture.

Which of the following compounds does not exhibit optical isomerism?

Calculate $\%$ by mass of a $\mathrm{H}_2 \mathrm{O}_2$ solution that is 67.2 by volume.

For the cell reaction, $\mathrm{A}_{(\mathrm{s})}+\mathrm{B}_{(\mathrm{eq})}^{+_2} \longrightarrow \mathrm{~A}_{(\mathrm{eq})}^{+_2}+\mathrm{B}_{(\mathrm{s})}$ if equilibrium constant of reaction is $10^4$ at 298 K . What is standard emf of cell?

What are the compounds used to obtain nylon salt?

Which from following compounds is an example of primary amines?

Identify the technique used to know binding nature of nanomaterials?

Which from following compounds is obtained when phenol reacts with dilute nitric acid at low temperature?

In the equation, $\mathrm{BiO}_3^{-}+6 \mathrm{H}^{+}+x \mathrm{e}^{-} \rightarrow \mathrm{Bi}^{3+}+3 \mathrm{H}_2 \mathrm{O}$ What is the value of $x$ ?

The compound forming ccp structure contains $9.6 \times 10^{23}$ atoms. Find the number of tetrahedral voids formed in it.

Identify a pair of molecules having similar shapes of both members.

Calculate the molality of the solution of nonvolatile solute if it freezes at $-0.36^{\circ} \mathrm{C}$.

$\left[K_{\mathrm{f}}\right.$ for solvent $\left.=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right]$

Calculate $\Delta \mathrm{S}_{\text {Iotal }}$ for a certain reaction if $\Delta \mathrm{H}=-150 \mathrm{~kJ}$ and $\Delta \mathrm{S}=32 \mathrm{JK}^{-1}$ at 300 K .

If $\mathrm{E}^{-}\left(\mathrm{Cu}_{(a q)}^{+2} \mid \mathrm{Cu}_{(s)}\right)=+0.34 \mathrm{~V}$. What is potential for $\mathrm{Cu}_{(s)} \rightarrow \mathrm{Cu}_{(\mathrm{aq})}^{+2}(0.1 \mathrm{M})+2 \mathrm{e}^{-}$at 298 K ?

Calculate the edge length of bcc unit cell if radius of a particle present in it is 186 pm .

In a common emitter transistor amplifier circuit, the input resistance is $1.8 \mathrm{k} \Omega$ and output is obtained across a load resistance of $9 \mathrm{k} \Omega$. The alternating current gain is 70 . Corresponding to an a.c. input voltage of 6 mV , the output voltage will be

In case of free expansion, which one of the following statements is WRONG?

Applying forward bias to p-n junction, the potential barrier

A capillary tube when immersed vertically in water, the rise of water column is upto height $h_1$ on earth's surface. When this arrangement is taken into a mine of depth 'd', below earth's surface, the height of the water column is $\mathrm{h}_2$. If R is the radius of the earth, the ratio $\frac{\mathrm{h}_2}{\mathrm{~h}_1}$ is

The work done in turning a magnet of magnetic moment ' $M$ ' by an angle of $90^{\circ}$ from the meridian is ' $n$ ' times the corresponding Work done to turn it through an angle of $60^{\circ}$ where the value of ' $n$ ' is $\left(\cos 90^{\circ}=0, \cos 60^{\circ}=0.5\right)$

When magnetic flux changes from $6.5 \times 10^{-2} \mathrm{~Wb}$ to $11 \times 10^{-2} \mathrm{~Wb}$ and the change in current is 0.03 A , the coefficient of mutual inductance will be

At a place, the length of the oscillating simple pendulum is made $\frac{1}{4}$ times keeping amplitude same then the total energy will be

125 small water drops of same size fall through air with constant velocity $4 \mathrm{~cm} / \mathrm{s}$. They coalesce to form a big drop. The terminal velocity of the big drop is

$$ \begin{aligned} & \text { If }|\vec{a}|=\sqrt{26},|\vec{b}|=7 \\ & |\vec{a} \times \vec{b}|=35 \text {, find } \vec{a} \cdot \vec{b} \end{aligned} $$

Three capacitors are connected to a battery as shown in figure. The ratio of charge on capacitors $\mathrm{C}_3$ and $\mathrm{C}_1$ is

A spring executes S.H.M. with mass 1 kg attached to it. The force constant of the spring is $4 \mathrm{~N} / \mathrm{m}$. If at any instant its velocity is $20 \mathrm{~cm} / \mathrm{s}$, the displacement at that instant is (Amplitude of S.H.M. is 0.4 m )

The material used for solar cell should have band gap

The ratio of the distance of $n^{\text {th }}$ bright band and $\mathrm{m}^{\text {th }}$ dark band from the central bright band in an interference pattern is

An ideal gas expands adiabatically, $(\gamma=1.5)$. To reduce the r.m.s. velocity of the molecules 4 times, the gas has to be expanded

Out of the following statements which is NOT the characteristics of electric lines of force?

The temperature at which oxygen molecules will have same r.m.s. speed as helium molecules at $57^{\circ} \mathrm{C}$ is (molecular masses of oxygen and helium are 32 and 4 respectively.)

A single slit diffraction pattern is formed with white light. For what wavelength of light the $4^{\text {th }}$ secondary maximum in diffraction pattern coincides with the $3^{\text {rd }}$ secondary maximum in the pattern of light of wavelength ' $\lambda$ '?

A resistor of $5 . \Omega$, inductor of self inductance $\left(\frac{2}{\pi^2}\right) \mathrm{H}$ and a capacitor of unknown capacity are connected in series to an a.c. source of $100 \mathrm{~V}, 50 \mathrm{~Hz}$ supply. When the voltage and current are in phase, the value of capacitance is

A rigid body rotates about a fixed axis with variable angular velocity $(\alpha-\beta t)$ at time $t$, where $\alpha$ and $\beta$ are constants. The angle through which it rotates before it comes to rest is

The capacity of air filled parallel plate capacitor is $\mathrm{C}_0$. One-half of the space between the plates is filled with a dielectric constant ' K ' as shown in figure. The new capacity becomes $\mathrm{C}_{\mathrm{n}}$. The ratio $\mathrm{C}_{\mathrm{n}}$ to $\mathrm{C}_0$ is

Two black spheres $\mathrm{P} \& \mathrm{Q}$ have radii in the ratio $4: 3$. The wavelength of maximum intensity of radiation are in the ratio $4: 5$ respectively. The ratio of radiated power by P to Q is

A monochromatic ray of light is incident normally on a thin prism of refracting angle A . The ray is deviated through an angle $(1.15)^{\circ}$ in passing through the prism. The ray reflected internally from the second face emerges from the first face making an angle of $(6.3)^{\circ}$ with the incident ray. The refractive index of the prism is

The wavelength ' $\lambda$ ' of a photon and the deBroglie wavelength of an electron have same value. the ratio of kinetic energy of the electron to the energy of a photon is

( $\mathrm{m}=$ mass of electron, $\mathrm{c}=$ velocity of light, $\mathrm{h}=$ Planck's constant)

The heat energy that must be supplied to 14 gram of nitrogen at room temperature to raise its temperature by $48^{\circ} \mathrm{C}$ at constant pressure is (Molecular weight of nitrogen $=28, R=$ gas constant, $\mathrm{C}_{\mathrm{p}}=\frac{7}{2} \mathrm{R}$ for diatomic gas)

Charges of $2 \mu \mathrm{C}$ and $-3 \mu \mathrm{C}$ are placed at two points A and B separated by distance of 1 m . The distance of the point from $A$ where net potential is zero is

The difference in length between two rods A and B is 60 cm at all temperatures. If $\alpha_{\mathrm{A}}=18 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ and $\alpha_{\mathrm{B}}=27 \times 10^{-6} /{ }^{\circ} \mathrm{C}$, then the length of $\operatorname{rod} \mathrm{A}$ and $\operatorname{rod} \mathrm{B}$ at $0^{\circ} \mathrm{C}$ is respectively

An infinitely long straight conductor carrying current ' $I$ ' is bent into a shape as shown in figure. The radius of the circular loop is ' $r$ '. The magnetic induction at the centre of the loop at point ' O ' is

( $\mu_0=$ permeability of free space)

Let $R_1, R_2$ and $R_3$ be the radii of three mercury drops. A big mercury drop is formed from them under isothermal conditions. The radius of the resultant drop is

Fundamental frequency of sonometer wire is ' $n$ '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will be

Moment of inertia of a solid sphere about its diameter is 'I'. It is then casted into 27 small spheres of same diameter. The moment of inertia of each small sphere about its diameter is

Two circuits A and B are connected to identical d.c. sources each of e.m.f. 10 volt. Self-inductances of circuits A and B are respectively $\mathrm{L}_{\mathrm{A}}=10 \mathrm{H}$ and $\mathrm{L}_{\mathrm{B}}=10 \mathrm{mH}$. The total resistance of each circuit is $40 \Omega$. The ratio of energy consumed in circuit A and circuit B to build up the current to steady value is

The ratio of the frequencies of two simple pendulums is $4: 3$ at the same place. The ratio of their respective lengths is

A source of sound emits sound wave of frequency ' f ' and moves towards an observer with a velocity $\frac{\mathrm{V}}{3}$ where V is the velocity of sound. If the observer moves away from the source with a velocity $\frac{\mathrm{V}}{5}$ the apparent frequency heard by him will be

In Young's double slit experiment, the distance between the slits is 2 mm and the slits are 1 m away, from the screen. Two interference patterns can be obtained on the screen due to light of wavelength ' $\lambda_1$ ' and ' $\lambda_2$ ' respectively. The separation on the screen between the $3^{\text {rd }}$ order bright fringes on the two interference patterns is ( $\lambda_2=1.5 \lambda_1$ )

$\mathrm{L}, \mathrm{C}$ and R are connected in series to an a. c. source. Which one of the following is true?

Phase relation between current and voltage is such that

A bar of iron having magnetic moment $2.4 \mathrm{Am}^2$ weighs 66 g . If the density of the material of the bar is $7700 \mathrm{~kg} / \mathrm{m}^3$, the intensity of magnetisation in $\mathrm{Am}^{-1}$ is

The error in the measurement of length and mass is $3 \%$ and $4 \%$ respectively. The error in the measurement of density will be

The potentiometer wire is 5 m long and potential difference of 4 V is maintained between the ends. The e.m.f. of the cell which balances against a length of 200 cm of the potentiometer wire is

Moment of inertia of the rod about an axis passing through the centre and perpendicular to its length is ' $I_1$ '. The same rod is bent into a ring and its moment of inertia about the diameter is ' $I_2$ '. Then $I_1 / I_2$ is

A body weighs 45 N on the surface of the earth. The gravitational force on a body due to earth at a height equal to half the radius of earth will be

An air column is of length 17 cm . The ratio of frequencies of $5^{\text {th }}$ overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air $=340 \mathrm{~ms}^{-1}$ )

In Paschen series, wavelength of first line is ' $\lambda_1$ ' and for Brackett series, wavelength of first line is ' $\lambda_2$ ' then ratio $\frac{\lambda_1}{\lambda_2}$ is

A sphere of mass ' $m$ ', moving with velocity ' $3 u$ ' collides head-on with another identical sphere at rest. If ' $e$ ' is coefficient of restitution then what will be the ratio of velocity of the second sphere to that of first sphere after collision?

A magnetic field $4 \times 10^{-2} \mathrm{~T}$ acts at right angles to a coil of area $100 \mathrm{~cm}^2$ with 50 turns. The average e.m.f. induced in the coil is 0.1 V , when it is removed from the field in time ' $t$ '. The value of ' $t$ ' is

The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (i) third to $2^{\text {nd }}$ energy level and (ii) highest energy level to $3^{\text {rd }}$ level is

In Sonometer experiment, the frequency of a tuning fork used is 288 Hz . Harmonics will 'NOT' be produced at the frequency

A boy throws a ball vertically upwards from a bridge with velocity $5 \mathrm{~m} / \mathrm{s}$. It strikes water surface after 2 s . The height of the bridge is (Take $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )

In series LCR circuit C $=2 \mu \mathrm{~F}, \mathrm{~L}=5 \mathrm{mH}$ and $\mathrm{R}=5 \Omega$. The ratio of energy stored in the inductor to that in capacitor, when maximum current flows through the circuit is