Chemistry
Which among the following salts forms basic solution in water?
Identify product ' B ' in the following sequence of reactions.
$$ \text { 1,2-Dibromoethane } \xrightarrow[\text { alcohol }]{\mathrm{KOH}} A \xrightarrow{\text { sodamide }} B $$
Identify the reagent R necessary to bring the following conversion.

Which from following reactions is exothermic?
Which among the following ligands has highest field strength?
What is the number of moles of hydrogen atoms required to reduce one mole of nitroethane completely using Sn and HCl ?
Find the rate of following reaction.
$$ 2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \longrightarrow 4 \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})} $$
if concentration of $\mathrm{NO}_2$ increases to $5.2 \times 10^{-3} \mathrm{M}$ in 100 seconds.
Identify correct statement for reaction stated below.
$$ \mathrm{Ag}_2 \mathrm{O}+\mathrm{H}_2 \mathrm{O}+2 \mathrm{e}^{-} \longrightarrow 2 \mathrm{Ag}+2 \mathrm{OH}^{-} $$
Which of the following inert gases is used for magnetic resonance imaging?
A weak base is $5 \%$ dissociated in its 0.01 M solution. Calculate the dissociation constant.
Which of the following compounds forms 1-bromo-1-methylcyclohexane when treated with HBr ?
$$ \mathrm{S} \xrightarrow{\text { Dimethylcadmium }} \text { Propanone }+ \text { Cadmium chloride } $$
Calculate work done in isothermal reversible expansion of 1 mole ideal gas from initial pressure 10 bar to final pressure 1 bar at 300 K . $\left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)$.
Calculate the volume occupied by all particles in bcc unit cell if the volume of unit cell is $8.0 \times 10^{-23} \mathrm{~cm}^3$.
What is EAN of metal ion in hexacyanoferrate (II) ion?
What is the total number of -OH groups present in ribonucleoside?
The rate constant of a first order reaction is $1.15 \times 10^{-3} \mathrm{~s}^{-1}$. How long will 5 g of reactant take to reduce to 3 g ?
Identify the element forming peroxide on reaction with oxygen.
Consider galvanic cell, ${ }^{\ominus} \mathrm{A}_{(\mathrm{s})}\left|\mathrm{A}_{(\mathrm{aq})}^{+2}\right|\left|\mathrm{B}_{(\mathrm{aq})}^{+}\right| \mathrm{B}_{(\mathrm{s})}^{\oplus}$
if emf of cell is positive, identify a correct cell reaction from following.
Solubility of binary sparingly soluble salt is $1.12 \times 10^{-4} \mathrm{~g} / \mathrm{dm}^3$. Calculate its solubility product (molar mass of salt $=112 \mathrm{~g} \mathrm{~mol}^{-1}$ )
Identify the product ' Z ' in the following series of reactions.

Which of the following has highest solubility in water?
Calculate the standard enthalpy change for reaction,
$$ \begin{aligned} & \mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}_{(l)}+3 \mathrm{O}_{2(\mathrm{~g})} \longrightarrow 2 \mathrm{CO}_{2(\mathrm{~g})}+3 \mathrm{H}_2 \mathrm{O}_{(l)} \\ & \text { if } \Delta_{\mathrm{f}} \mathrm{H}^{\circ}\left(\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}\right)=-280 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \Delta_{\mathrm{f}} \mathrm{H}^{\circ}\left(\mathrm{CO}_2\right)=-390 \mathrm{~kJ} \mathrm{~mol}^{-1} \\ & \Delta_{\mathrm{f}} \mathrm{H}^{\circ}\left(\mathrm{H}_2 \mathrm{O}\right)=-285 \mathrm{~kJ} \mathrm{~mol}^{-1} \end{aligned} $$
Determine the expected value of $\Delta T_f$ for $1 \mathrm{~m} \mathrm{CaCl}_2$ solution if 1 m urea solution has $\Delta \mathrm{T}_{\mathrm{f}}$ value ' $x$ ' K .
What is the medicinal property of Eugenol?
What type of glycosidic linkages are present in cellulose?
Find the value of spin only magnetic moment for $\mathrm{Zn}^{2+}$ in BM.
Which from following is classified multimolecular colloid?
Standard potential of electrode reaction $\mathrm{Cu}_{(\mathrm{aq})}^{+2}+2 \mathrm{e}^{-} \longrightarrow \mathrm{Cu}_{(\mathrm{s})}$ is +0.34 V .
What is standard potential of reaction
$$ 2 \mathrm{Cu}_{(\mathrm{s})} \longrightarrow 2 \mathrm{Cu}_{(\mathrm{aq})}^{+2}+4 \mathrm{e}^{-} ? $$
A container contains equal masses of $\mathrm{H}_2, \mathrm{He}$, $\mathrm{CO}_2$ and Ne at a certain temperature. Which of the following gas exerts maximum partial pressure?
The reaction of aryl halide with sodium metal in dry ether to give biphenyl is known as
Identify the final product obtained when ${ }^a$ mixture of vapours of phenol and hydrogen is passed over nickel catalyst at 433 K .
What is the numerical value of angular momentum for an electron in first orbit of hydrogen atom? ( $\mathrm{h}=6.626 \times 10^{-34} \mathrm{Js}$ )
Calculate van't Hoff factor of aqueous solution of 0.18 m electrolyte that freezes at $-0.54^{\circ} \mathrm{C}$.
$\left(\mathrm{K}_{\mathrm{f}}\right.$ for solvent $\left.=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)$
What is the molar mass of third homologue of alkane series?
Which from following polymers is used to obtain oil seals?
Which element from following has largest ionic size in +3 state?
Identify the principle suggesting to avoid protection and deprotection of selective group for organic reactions in green chemistry.
What is value of $E_{\text {cell }}$ at 298 K for the reaction, $\mathrm{Zn}_{(\mathrm{s})}+\mathrm{Cu}^{+2}(0.1 \mathrm{M}) \longrightarrow \mathrm{Zn}^{+2}(0.1 \mathrm{M})+\mathrm{Cu}_{(\mathrm{s})}$ if $\mathrm{E}_{\text {cell }}^{\circ}=1.1 \mathrm{~V}$ ?
Which of the following compounds has high lattice enthalpy?
Which among the following is a pair of functional isomers?
Which among the following compounds has highest boiling point?
Calculate the molality of solution of nonvolatile solute if boiling point elevation is 1.75 K .
[ $\mathrm{K}_{\mathrm{b}}$ for solvent $=3 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$ ]
Which from following pair of compounds exhibits isomorphism?
What are the monomers used in preparation of PHBV?
Which from following is a correct increasing order of basic strength of compounds?
Which of the following is an example of first order reaction?
What is the number of moles present in $1 \mathrm{~m}^3$ of any gas at STP?
Identify from following compounds where valence shell of 'Xe' consists one lone pair of electrons.
Physics
Which of the following statements is TRUE for n-type semiconductor?
When a current in the conducting coil is changed from 5 A in one direction to 5 A in opposite direction in 0.5 second, an average induced e.m.f in the coil is 2 V . The selfinductance of the coil is
The electric field intensity near a conducting surface having uniform surface charge density ' $\sigma$ ' is given by ( $\varepsilon_0=$ permittivity of free space)
The excess pressure inside first soap bubble is three times that of a second soap bubble. The ratio of volumes of the first to second bubble
A particle performs S.H.M. of amplitude 'A' and wavelength ' $\lambda$ ', Then the velocity of the wave (V) and the maximum particle velocity (v) are related as
The figure shows two masses ' $m$ ' and ' $M$ ' connected by a light string that passes through ${ }_a$ small hole ' $O$ ' at the centre of the table. Mass ' $m$ ' is moved round in a horizontal circle with ' $O$ ' as the centre. The frequency with which ' $m$ ' should be revolved so that ' $M$ ' remains stationary is
( $\mathrm{g}=$ gravitational acceleration)

A regular hexagon of side 6 cm has a charge of $2 \mu \mathrm{C}$ at each of its vertices, what is the potential at the centre of the hexagon?
$$ \left[\frac{1}{4 \pi \varepsilon_0}=9 \times 10^9 \text { SI unit }\right] $$
For two different photosensitive materials having work function $\phi$ and $2 \phi$ respectively, are illuminated with light of sufficient energy to emit electrons. If the graph of stopping potential versus frequency is drawn, for these two different photosensitive materials, the ratio of slope of graph for these two materials is
The weight of man in a stationary lift is $w_1$ and when it is moving downwards with uniform acceleration ' a ' is $\mathrm{w}_2$. If the ratio $\mathrm{w}_1: \mathrm{w}_2=4: 3$, then the value of ' a ' is ( $\mathrm{g}=$ acceleration due to gravity)
The activity of radioactive sample is measured as $\mathrm{N}_0$ counts per minute at time $\mathrm{t}=0$, and $\frac{\mathrm{N}_0}{\mathrm{e}}$ counts per minute at time $\mathrm{t}=3$ minute, The activity reduces to half its value in time (in minute)
Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously with tensions ' $\mathrm{T}_1$ ' and ' $\mathrm{T}_2$ ' respectively. On changing the tension slightly in one of them, the beat frequency remains unchanged. This will happen when (Given $\rightarrow \mathrm{T}_1>\mathrm{T}_2$ )
How much should the pressure be increased in order to reduce the volume of a given mass of gas by $5 \%$ at the constant temperature?
In Young's double slit experiment the wavelength of light used is $6000 \mathop {\rm{A}}\limits^{\rm{o}}$, the screen is 40 cm from the slits and the fringe width is 0.012 cm , the distance between two slits is
A square coil ABCD of side ' L ' is carrying a current in clockwise direction. A straight conductor carrying current $\mathrm{I}_2$ (upward direction) is kept parallel to side AB at a distance $\frac{\mathrm{L}}{3}$ in the plane of $A B C D$. The net force on the coil ABCD is ( $\mu_0=$ magnetic permeability)
In a common emitter transistor amplifier circuit, the current gain $\alpha=0.8$. If the base current changes by $3 \mu \mathrm{~A}$ then the collector current changes by
A ray of light is incident on first face of an equilateral glass prism at an angle of incidence ' $I$ '. The emergent ray just grazes along the adjacent face. The refractive index of the the prism is $\sqrt{2}$. The value of angle of incidence at first face is $\left(\sin 45^{\circ}=\frac{1}{\sqrt{2}}, \sin 90^{\circ}=1\right)$
In hydrogen atom, the energy of electron in first and third orbit is ' $E_1$ ' and' $E_3$ ' respectively. If $E_3=x E_1$ then the value of $x$ will be
Figure shows the north pole of a magnet moving away from a thick conducting loop containing a capacitor. The excess positive charge will arrive on

An observer moves towards a stationary source of sound with a velocity of one fifth of the velocity of sound. The percentage increase in the apparent frequency is
An a. c. source is connected across a pure inductor. Which one of the following figures shows the correct phase relation between the current and e.m.f.?

A disc of paper of radius ' $R$ ' has a hole of radius ' $r$ '. It is floating on a liquid of surface tension ' T '. The force of surface tension on the disc is
Two tuning forks when sounded together produce 4 beats per second. One of the forks is in unison with 23 cm length of sonometer wire and other with 24 cm length of the same wire. The frequencies of the two tuning forks are
Let the speed of light and the polarising angle for a given medium be ' $V$ ' and ' $i_p$ ' respectively. The relation between them is : ( $\mathrm{C}=$ speed of light in vacuum)
The equivalent resistance of the following circuit when no current flows in the resistance of $5 \Omega$ is nearly

In the case of common emitter transistor amplifier, the ratio of collector current to emitter current is 0.96 , then the current gain $(\beta)$ of the amplifier is
Which of the following comes under the category of random errors?
The energy that should be added to an electron to reduce its de-Broglie wavelength from $\lambda$ to $\frac{\lambda}{2}$ is $n$ times the initial energy. The value of ' $n$ ' is
In an a.c. circuit with pure capacitance ' C ' and a.c. source $E=E_0 \sin \omega t$, the equation of instantaneous current is given by
Radius of curved road is ' $R$ ', width of road is ' $b$ '. The outer edge of road is raised by ' $h$ ' with respect to inner edge so that a car with velocity ' $V$ ' can pass safe over it, then value of ' $h$ ' is ( $\mathrm{g}=$ acceleration due to gravity)
A polyatomic gas is compressed to $\left(\frac{1}{8}\right)^{\text {th }}$ of its volume adiabatically. If its initial pressure is $\mathrm{P}_0$, its new pressure will be [Given, $\frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=\frac{4}{3}$ ]
A particle is executing linear S.H.M. starting from mean position. The ratio of the kinetic energy to the potential energy of the particle at a point of half the amplitude is
A parallel plate air capacitor has capacity ' $C$ ' and distance of separation between plates is ' $d$ '. If a conducting sheet of thickness $\frac{2 d}{3}$ is inserted in between the plates, the capacitance becomes $C_1$. The ratio of $\frac{C_1}{C}$ is
A uniform solid sphere of mass ' $m$ ' and radius ' r ' is surrounded by a uniform thin spherical shell of radius ' $2 r$ ' and mass ' $m$ ' then the gravitational field
A current of 5 A is flowing at 220 V in a primary coil of a transformer. If the voltage produced in the secondary coil is 2200 V and $50 \%$ of power is lost, then the current in the secondary coil will be
The magnetic field at the centre of a current carrying circular coil of area ' $A$ ' is ' $B$ '. The magnetic moment ( M ) of the coil is ( $\mu_0=$ permeability of free space)
A pipe open at both ends produces a fundamental frequency $n_1$. When the pipe is kept with $\frac{3^{\text {th }}}{4}$ of its length in water, it produces a note of fundamental frequency $\mathrm{n}_2$. The ratio of $\frac{\mathrm{n}_1}{\mathrm{n}_2}$ is
A wind with speed $50 \mathrm{~m} / \mathrm{s}$ blows parallel to the roof of a house. The area of the roof is $300 \mathrm{~m}^2$. Assume that the pressure inside the house is atmospheric pressure. Density of air is $1.2 \mathrm{~kg} / \mathrm{m}^3$. The magnitude of the force exerted by the wind on the roof will be
The pressure ' P ', volume ' V ' and temperature ' T ' of a gas in a jar ' $A$ ' and the gas in other jar ' $B$ ' is at pressure ' 2 P ', volume ' V ' and temperature ' $\frac{T}{4}$ '. Then the ratio of the number of molecules in jar A and jar B will be
Let the current ' $I$ ' be associated with an electron of charge ' $e$ ' moving in a circular orbit of radius ' $r$ ' with speed ' $v$ ' around the positively charged nucleus. The ratio $\frac{r}{v}$ is
Figure shows the combination of inductances and capacitances. Resonant frequency of the $\mathrm{L}-\mathrm{C}$ circuit is

Three equal charges are placed on the three corners of a square as shown below. If the magnitude of force between ' $\mathrm{q}_1$ ' and ' $\mathrm{q}_2$ ' is ' $\mathrm{F}_{12}$ ' and that between ' $\mathrm{q}_1$ ' and ' $\mathrm{q}_3$ ' is $\mathrm{F}_{13}$, then the ratio of $F_{13}$ to $F_{12}$ is

Two bodies of mass 10 kg and 5 kg are moving in concentric circular orbits of radii ' R ' and ' r ' respectively such that their periods are same. The ratio between their centripetal acceleration is
Two moles of an ideal monoatomic gas undergo a cyclic process as shown in figure. The temperatures in different states are given as $6 \mathrm{~T}_1=3 \mathrm{~T}_2=2 \mathrm{~T}_4=\mathrm{T}_3=2400 \mathrm{~K}$. The work done by the gas during the complete cycle is ( $\mathrm{R}=$ Universal gas constant)

The amplitude of a damped oscillator becomes $\left(\frac{1}{3}\right)^{\mathrm{rd}}$ of original amplitude in 2 seconds. If its amplitude after 6 second become $\left(\frac{1}{n}\right)$ times the original amplitude, the value of $n$ is ( $n$ is non zero integer)

If $\vec{P}=b \hat{i}+6 \hat{j}+\hat{k} \quad$ and $\quad \vec{Q}=\hat{i}-a \hat{j}+4 \hat{k} \quad$ are perpendicular to each other, also $3 \mathrm{~b}-\mathrm{a}=5$. The value of $a$ and $b$ is
Two polaroids are oriented with their planes perpendicular to incident light and transmission axis making an angle $30^{\circ}$ with each other. What fraction of incident unpolarised light is transmitted?
$$ \left(\cos 30^{\circ}=\sqrt{3} / 2\right) $$
The acceleration (a) - time (T) graph for the body starting from rest is given below. The maximum speed of the body is

Two spherical black bodies have radii ' $R_1$ ' and ' $R_2$ '. Their surface temperatures are $T_1 K$ and $T_2 K$ respectively. If they radiate the same power, the ratio $\frac{R_1}{R_2}$ is
A thermometer bulb has volume $10^{-6} \mathrm{~m}^3$ and cross-section of the stem is $0.002 \mathrm{~cm}^2$. The bulb is filled with mercury at $0^{\circ} \mathrm{C}$. If the thermometer reads temperature as $100^{\circ} \mathrm{C}$, then the length of mercury column is (coefficient of cubical expansion of mercury $=18 \times 10^{-5} /{ }^{\circ} \mathrm{C}$ )