Identify the element having highest value of first ionization enthalpy.

One mole of a perfect gas expands isothermally and reversibly from $10 \mathrm{dm}^3$ to $20 \mathrm{dm}^3$ at 300 K . Find $\Delta \mathrm{U}, \mathrm{q}$ and work done respectively in the process. $\left(\mathrm{R}=8.3 \times 10^{-3} \mathrm{~kJ} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)$

Identify anionic complex from following.

Identify a ligand having two donor atoms and uses pairs of electrons on both donor atoms.

$$ \text { What is IUPAC name of following compound? } $$

Which from the following buffers is used for precipitation of cations of IIIA group in qualitative analysis?

Which of the following has the highest basic strength?

The molar conductivity of 0.02 M HCl is $408.4 \Omega^{-1} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ at $25^{\circ} \mathrm{C}$. Calculate it's conductivity.

What is the percentage by mass of oxygen in water, if percentage by mass of hydrogen is $11.1 \%$ ?

Identify a pair of compounds that exhibits functional group isomerism from following.

What is the order of a reaction having unit of the rate constant $\mathrm{mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$ ?

Which of the following is NOT an example of diamagnetic substance?

Identify the product formed in the following reaction.

$$ \mathrm{CH}_3-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}_2-\mathrm{CHO} \xrightarrow[\text { ii) } \mathrm{H}_3 \mathrm{O}^{+}]{\text {i) } \mathrm{LiAlH}_4} \text { product } $$

Identify the major product formed when 2-chlorobutane is boiled with concentrated alcoholic KOH .

Which of the following substances is NOT required in the construction of $\mathrm{H}_2-\mathrm{O}_2$ fuel cell?

Which alkali metal is used for heat transfer in nuclear power station?

Which of the following solvents is safe to use and considered as green solvent?

What is rate constant of a first order reaction having half life 138.6 minute?

Which of the following compounds has highest boiling point?

Which of the following statements is NOT true about lyophobic colloids?

Identify the correct increasing order of boiling point of following compounds.

Identify the product ' B ' in the following sequence of reactions.

Ethanenitrile $\xrightarrow{\mathrm{SnCl}_2, \mathrm{HCl}} \mathrm{A} \xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}} \mathrm{B}+\mathrm{NH}_4 \mathrm{Cl}$

Find increase in temperature for a gas when first its pressure and then volume both are doubled at 400 K .

Calculate heat of formation of $\mathrm{SO}_2$ from following equations.

$$ \begin{aligned} & \mathrm{S}+\frac{3}{2} \mathrm{O}_2 \longrightarrow \mathrm{SO}_3, \Delta \mathrm{H}=-2 \mathrm{xkJ} \\ & \mathrm{SO}_2+\frac{1}{2} \mathrm{O}_2 \longrightarrow \mathrm{SO}_3, \Delta \mathrm{H}=-\mathrm{ykJ} \end{aligned} $$

If four different elements $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D having outer electronic configuration as,

$$ \mathrm{A}=3 \mathrm{~s}^2 3 \mathrm{p}^4, \mathrm{~B}=3 \mathrm{~s}^2 3 \mathrm{p}^5, \mathrm{C}=4 \mathrm{~s}^2 4 \mathrm{p}^4, \mathrm{D}=4 \mathrm{~s}^2 4 \mathrm{p}^5 $$

identify the element with lowest ionization enthalpy $\left(\Delta_1 \mathrm{H}_1\right)$

Which from the following statements about nylon 2-nylon 6 is NOT correct?

Which carbon atoms of glucose in open chain structure numbered from $\mathrm{C}-1$ to $\mathrm{C}-6$ are NOT chiral?

The dissociation constant of weak monoacidic base is $1.8 \times 10^{-5}$. Calculate the degree of dissociation in 0.02 M solution.

What is the expected value of $\Delta T_f$ for 0.2 m aqueous $\mathrm{CaCl}_2$ solution if $\Delta \mathrm{T}_{\mathrm{f}}$ for 0.2 m sucrose solution is $x \mathrm{~K}$ ?

How many isomers of $\mathrm{C}_4 \mathrm{H}_{11} \mathrm{~N}$ are tertiary amines?

Which from following metal ions in their respective oxidation states forms colourless compounds?

Which of the following symbols represents heat of reaction at constant pressure?

Which from following amino acids contains sulfur in it's side chain?

Which from following polymers is obtained by addition polymerisation method?

Calculate the pH of buffer solution containing 0.12 M weak acid and 0.48 M of its salt with strong base if $\mathrm{pK}_{\mathrm{a}}$ is 3.82 .

Calculate $\Delta \mathrm{T}_{\mathrm{b}}$ of 0.02 m solution if molal elevation constant for solvent is $0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$.

What is the representation of element ( X ) having mass number 40 containing 22 neutrons.

Identify oxidant in following reaction.

$$ 3 \mathrm{H}_3 \mathrm{AsO}_{3(\mathrm{aq})}+\mathrm{BrO}_{3(\mathrm{aq})}^{-} \longrightarrow \mathrm{Br}_{(\mathrm{aq})}^{-}+3 \mathrm{H}_3 \mathrm{AsO}_{4(\mathrm{aq})} $$

Identify false statement about zinc.

For the reaction,

$$ 3 \mathrm{I}_{(\mathrm{aq})}^{-}+\mathrm{S}_2 \mathrm{O}_{8(\mathrm{aq})}^{2-} \longrightarrow 2 \mathrm{SO}_{4(\mathrm{aq})}^{2-}+\mathrm{I}_{3(\mathrm{aq})}^{-} $$

rate of formation of $\mathrm{SO}_{4(\text { aq })}^{2-}$ is $0.044 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$.

What is the rate of consumption of $\mathrm{S}_2 \mathrm{O}_{8(\mathrm{aq})}^{2-}$ ?

Which of the following is a tertiary allylic alcohol?

Calculate the number of atoms in 0.4 gram of metal if it forms fcc structure.

$$ \left[\rho \times \mathrm{a}^3=1.2 \times 10^{-22} \mathrm{~g}\right] $$

Identify a molecule having octahedral geometry as per VSEPR theory.

Calculate the mass of solute dissolved in $1 \mathrm{dm}^3$ water has osmotic pressure 3.0 atm at 300 K [Molar mass of solute $=41 \mathrm{~g} \mathrm{~mol}^{-1}$, $\mathrm{R}=0.082 \mathrm{dm}^3 \mathrm{~atm} \mathrm{~K} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ ]

What is the radius of first orbit of monopositive helium ion?

The centre of mass of a system of particles does NOT depend on

A blackbody at $1227^{\circ} \mathrm{C}$ emits radiation with maximum intensity at a wavelength of $5600 $$\mathop {\rm{A}}\limits^{\rm{o}} $. If the temperature of the body is increased by $1000^{\circ} \mathrm{C}$, the maximum intensity will be at wavelength

A resistor of $400 \Omega$, an inductance of 0.4 H are in series with an a.c. source of e.m.f. $\mathrm{E}=200 \sqrt{2} \sin (1000 \mathrm{t})$. The power factor of the circuit is

A plane wavefront of width ' $x$ ' is incident on an air-water interface and the corresponding refracted wavefront has a width ' y ' as shown in figure. The refractive index of air with respect to water in terms of distances ' $w$ ' and ' $z$ ' is $(\mathrm{AD}=\mathrm{w}, \mathrm{CB}=\mathrm{z})$

The intermediate image formed by an objective lens of a compound microscope is

A solid sphere and a ring have equal mass and equal radius of gyration. If sphere is rotating about its diameter and ring about an axis passing through centre and perpendicular to its plane, then the ratio of radius of sphere to that of ring is $\sqrt{\frac{x}{2}}$ then the value of ' $x$ ' is

The third overtone of a closed pipe of length ' $\mathrm{L}_{\mathrm{c}}$ ' has the same frequency as the third overtone of an open pipe of length ' $L_0$ '. The ratio ' $\mathrm{L}_{\mathrm{c}}$ ': ' $\mathrm{L}_0$ ' is equal to (Neglecting end correction)

To manufacture a solenoid of length ' $l$ ' and inductance ' $L$ ', the length of the thin wire required is (cross - sectional diameter of a solenoid is considerably less than length, $\mu_0=$ permeability of free space)

Three charges $Q,-2 q$ and $-2 q$ are placed at the vertices of an isosceles right-angled triangle as shown in figure. The net electrostatic potential energy is zero if $Q$ is equal to

A spring has length ' $L$ ' and force constant ' $K$ '. It is cut into two springs of length ' $\mathrm{L}_1$ ' and ' $\mathrm{L}_2$ ' such that $\mathrm{L}_1=\mathrm{nL}_2$ ( n is an integer). The force constant of the spring of length ' $\mathrm{L}_2$ ' is

The period of revolution of planet A around the sun is 8 times that of $B$. The distance of $A$ from the sun is how many times greater than that of $B$ from the sun?

In Young's double slit experiment, fringe width is 1.4 mm with light of wavelength $6000 $$\mathop {\rm{A}}\limits^{\rm{o}} $. If the light of wavelength $5400 $$\mathop {\rm{A}}\limits^{\rm{o}} $ is used, with no other change in the experimental set up. The change in fringe width is

Radioactive materials A and B have decay constants ' $9 \lambda$ ' and ' $\lambda$ ' respectively. Initially they have same number of nuclei. The ratio of number of nuclei of material ' $A$ ' to that of ' $B$ ' will be $\left(\frac{1}{\mathrm{e}}\right)$ after time ' $t$ '. So ' $t$ ' is equal to

Two bodies A and B have their moments of inertia ' I ' and ' 2 I ' respectively about their axis of rotation. If their kinetic energy of rotation are equal then angular momentum of body A to that of body $B$ will be in the ratio

The flux linked with the coil at any instant ' t ' is given by $\phi=12 t^2-60 t+275$. The magnitude of induced e.m.f. at $\mathrm{t}=3 \mathrm{~second}$ is

Two sounding sources send waves at certain temperature in air of wavelength 60 cm and 60.6 cm respectively. The frequency of sources differ by 5 Hz . The velocity of sound in air at same temperature is

An ideal gas of mass ' $M$ ' is in the state ' $A$ ' goes to another state B via three different processes. If $Q_1, Q_2$ and $Q_3$ denote the heat absorbed by the gas along the paths 1,2 and 3 respectively, then

The magnitude of magnetic induction at a point on the axis at a large distance ' $r$ ' from the centre of a circular coil of ' $n$ ' turns and area ' $A$ ' carrying current ' I ' is ( $\mu_0=$ permeabilty of free space)

In the series LCR circuit shown in figure, the impedance is

An ideal gas is heated from $27^{\circ} \mathrm{C}$ to $627^{\circ} \mathrm{C}$ at constant pressure. If initial volume of gas is $4 \mathrm{~m}^3$, then the final volume of the gas will be

A large insulated sphere of radius ' $r$ ', charged with ' $Q$ ' units of electricity, is placed in contact with a small insulated uncharged sphere of radius ' R ' and is then separated. The charge on the smaller sphere will now be

A thin concavo-convex lens with convex face receiving incident rays has radii of curvatures 12 cm and 24 cm respectively. If refractive index of material of lens is 1.5 , then the focal length of the lens is

At two points on a horizontal tube of varying cross-section the radii are 1 cm and $\mathbf{0 . 4 ~ c m}$, velocities of fluid are $\mathrm{V}_1, \mathrm{~V}_2$ and pressure difference ( $P_1-P_2$ ) between these points is 4.9 cm of water. The value of $\sqrt{V_2^2-V_1^2}$ is ( $\mathrm{g}=$ acceleration due to gravity $\mathrm{g}=980 \mathrm{~cm} / \mathrm{s}^2$ )

A simple harmonic progressive wave is given by equation $y=\operatorname{asin} 2 \pi\left(n t-\frac{x}{\lambda}\right)$. If the wave velocity is equal to $\frac{1}{4} \times$ (maximum particle velocity), then the wavelength ' $\lambda$ ' is (Given $\rightarrow \mathrm{a}=$ amplitude, $\mathrm{n}=$ frequency, $\mathrm{t}=$ time, $\mathrm{y}=$ displacement, $\mathrm{x}=$ distance )

$$ \text { In the following figure, the current } \mathrm{I} \text { is equal to } $$

The work function of a photosensitive metallic surface is $h v_0$. If photons of energy (2.5) $h v_0$ fall on this surface, the electrons come out with maximum velocity ' v '. When the photon energy is increased to $7 \mathrm{~h} v_0$, the maximum velocity of photoelectrons will be

A magnet having a magnetic dipole moment ' M is placed in two magnetic fields ' $\mathrm{B}_1$ ' and ' $\mathrm{B}_2$ ' respectively. If it is displaced slightly from the equilibrium position, it oscillates 60 times in 20 second in field ' $\mathrm{B}_1$ ' and 60 times in 30 second in field ' $B_2$ '. The ratio of field ' $B_1$ ' to that of ' $\mathrm{B}_2{ }^{\prime}$ is

Two objects A and B are separated horizontally by distance ' a '. Object B moves in a direction perpendicular to distance ' $a$ ' with velocity ' $V_1$ '. Simultaneously object A covers shortest distance with velocity ' $V$ ' and meets object $B$ in time ' $t$ '. The time ' $t$ ' is given by

Pressure of the gas remaining same, the temperature at which r. m. s. speed of the gas molecules is double its value at $27^{\circ} \mathrm{C}$ is

In a single slit diffraction experiment, slit of width ' a ' and incident light of wavelength $5600 $$\mathop {\rm{A}}\limits^{\rm{o}} $, the first minimum is observed at angle $30^{\circ}$. The first secondary maximum is observed at angle $\left(\operatorname{Sin} 30^{\circ}=0.5\right)$

If $R_1$ and $R_2$ are the radii of the atomic nuclei of mass numbers 27 and 125 respectively, then the ratio $R_2: R_1$ is

By increasing the temperature, the electrical conductivity of a conductor and a semiconductor,

Water rises up to height ' $x$ ' in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth 'd' in a mine, the water level rises height ' $Y$ '. If ' $R$ ' is the radius of earth then the ratio $(\mathrm{Y} / \mathrm{x})$ is

Three tuning forks $\mathrm{A}, \mathrm{B}$ and C have respective frequencies $\mathrm{n}_1, \mathrm{n}_2$ and $\mathrm{n}_3$ related as $\mathrm{n}_1=1.03 \mathrm{n}_2$ and $n_3=0.99 n_2$. When $A$ and $C$ are sounded together 4 beats are heard per second. The frequencies of fork B and C are respectively

In the Davisson Germer experiment, the velocity of electrons emitted from the electron gun can be increased by

A circular coil carrying current ' $I$ ' has radius ' $R$ ' and magnetic field at the centre is ' $B$ '. At what distance from the centre along the axis of the same coil, the magnetic field will be $\frac{\mathrm{B}}{8}$ ?

A satellite of mass ' $m$ ' is orbiting the earth of radius ' $R$ ' at height ' $h$ ' from the surface of earth. The total energy of the satellite is ( $\mathrm{g}=$ acceleration due to gravity at the earth's surface)

Rods ' $A$ ', ' $B$ ' and ' $C$ ' are made of a paramagnetic, a ferromagnetic and a diamagnetic substance respectively. A magnet is brought close to them, it will

Which one of the following statements is false for a particle moving in a circle with constant angular speed?

An alternating current is given by $\mathrm{I}=100 \sin (50 \pi t)$. How many times will the current become zero in one second?

A particle starts from mean position and performs S.H.M. with period 6 second. At what time its kinetic energy is $50 \%$ of total energy?

$$ \left(\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right) $$

Rate of flow of heat through a cylindrical rod is $\mathrm{H}_1$. The temperature of the ends of the rod are ' $\mathrm{T}_1$ ' and ' $\mathrm{T}_2$ '. If all the dimensions of the rod become double and the temperature difference remains the same, the rate of flow of heat becomes ' $\mathrm{H}_2$ '. Then $\mathrm{H}_2=$

A coil of area $12 \mathrm{~cm}^2$ has 250 turns. Magnetic field of $0.2 \mathrm{~Wb} / \mathrm{m}^2$ is perpendicular to the plane of the coil. The field is reduced to $0.1 \mathrm{~Wb} / \mathrm{m}^2$ in 0.1 second. The magnitude of induced e.m.f. in the coil is

For which of the following combinations of working temperatures, the efficiency of Carnot's engine is maximum?

A galvanometer of resistance ' $G$ ' is converted into an ammeter of resistance $\frac{\mathrm{G}}{40}$, by connecting a shunt ' $S$ ' to it. The part of main current passing through the galvanometer is

The wrong statement out of the following statements is

The potentials at points A and B are $\mathrm{V}_{\mathrm{A}}$ and $\mathrm{V}_{\mathrm{B}}$ respectively for the charges $+q$ and $-q$ placed at distances ' $x$ ' each from points $A$ and $B$ as shown in figure. The distance between points $A$ and B is ' y '. The net potential $\left(\mathrm{V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}\right)$ is proportional to