Question 1 :
A cylinder contains helium at 2.5 atmosphere pressure. Another identical cylinder contains argon at 1.5 atmosphere pressure at the same temperature. If both the gases are filled in any one of the cylinders, the pressure of the mixture will be :

Question 3 :
Gas exerts pressure on the walls of container because the molecules-

Question 4 :
If the pressure of a gas is increased then its mean free path becomes :

Question 7 :
The correct relation connecting the universal gas constant (R), Avogadro number N$_A$ and Boltzmann constant (K) is :

Question 9 :
If Cv = 4.96 cal / mole K, then increase in internal energy when temperature of 2 moles of this gas is increased from 340 K to 342 K

Question 10 :
One mole of a monoatomic gas is mixed with 3 mole of a diatomic gas. The molar heat capacity at constant volume of mixture (in cal) is :

Question 11 :
If $\overline{v}, v_{rms}$ and $v_p$ represent the mean speed, root mean square and most probable speed of the molecules in an ideal monoatomic gas at temperature $T$ and if $m$ is mass of the molecule, then

Question 12 :
<p class="wysiwyg-text-align-left">The total kinetic energy of $8$ litres of helium molecules at $5 $ atmosphere pressure will be</p>

Question 13 :
Let $\overline {v}, v_{rms}$ and $v_{p}$, respectively, denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monatiomc gas at absolute temperature $T$. The mass of a molecules is $m$. Then

Question 14 :
The translational kinetic energy of sample of gas in container at $327^oC$ is :

Question 16 :
The energy taken by system is $\delta Q$, work done&#160;by system is $\delta W $ and increase in internal energy is $dU$, the quantity which does not depend on path&#160;is :<br/>

Question 18 :
In an adiabatic expansion, the temperature of 5 moles of gas $\gamma =1.5$ falls from $87^{0}C$ to $27^{0}C$, then the work done is<br>

Question 19 :
A new soft drink bottle is opened, allowing gas to escape into the atmosphere. As the gas escapes, its degree of disorder increases.&#160;Identify by which of the following law this can be explained ?

Question 21 :
Work done in an adiabatic process between a given pair of end states depends on

Question 22 :
A monoatomic gas at pressure $P_1$ and volume $V_1$ is compressed adiabatically to $\displaystyle \frac{1}{8}$th of its original volume. What is the final pressure of the gas

Question 23 :
How much heat energy should be added to the gaseous mixture consisting of $1 &#160;\ g$ of hydrogen and $1 \ g$ of helium to raise its temperature from $0 ^oC$ to $100^oC$ at constant volume? ( in cal )&#160;

Question 24 :
Find the work requires to compress adiabatically $ 1\ g$ of air initially at $NTP$ to half its volume. Density of air at $NTP = 0.001129\ gcm^{-3}$ and $\dfrac{C_p}{C_v} = 1.4$

Question 25 :
A gas for which $\gamma =1.5$ is suddenly compressed&#160;to $\dfrac{1}{4}$ th of its initial value then the ratio of the&#160;final to initial pressure is<br/>

Question 26 :
Heat cannot by itself flow from a body at lower temperature to a body at higher temperature&#160;is a statement of consequence of

Question 28 :
Net heat released by the system if initial and final temperatures of a gas is same&#160;and work done&#160;is $35 kJ$ is<br/>

Question 29 :
$10\ kg$ of hot water in a bucket at $70^oC$ is cooled for taking a bath adding to it $20\ kg$ water at $20^oC$. What is the temperature of the mixture? (Neglect the thermal capacity of the bucket)

Question 32 :
Water cannot be converted into ice by adding ice to it.<br/>

Question 34 :
A cotton sheet is ironed with hot electricity. How is energy transferred through the metal base of the iron to the sheet?

Question 36 :
The maximum energy in the thermal radiation from a heat source occurs at a wavelength of ${12}\times{10}^{-5}cm$. According to Wien's displacement law, the temperature of this source will be 'n' times the temperature of another source for which the wavelength at maximum energy is ${6}\times{10}^{-5}cm$. Then the value of n is&#160;

Question 37 :
A substance of mass m kg requires a power input of P watts to remain in the molten state at its melting point. When the power is turned off, the sample completely solidifies in time t second. What is the latent heat of fusion of the substance?

Question 38 :
A black body at $1227^{\circ}C$ emits radiations with maximum intensity at a wavelength of $5000 \mathring{A}$. The temperature of the body is increased by $1000^{\circ}C$, the maximum intensity will be observe at:-

Question 39 :
An ice of mass $0.1$ kg at $0^0C$ is placed in an isolated container which is at $227^0C$. The specific heat S of the container varies with temperature T according to the empirical relation $S= A + BT$, where $A=100 cal/kg$ K and $B=2\times 10^{-2} cal/ kg K^2$. If the final temperature of the container is $27^0C$, the mass of the container is (Latent heat of fusion of water =$8\times 10^4 cal/kg$, the specific heat of water = $10^3 cal/kg K$)

Question 40 :
The coefficient of linear expansion of steel and brass are $11\, \times\, 10^{-6}/^{\circ}C\, and\, 19\, \times\, 10^{-6}/^{\circ}C$ respectively. If their difference in lengths at all temperatures has to kept constant at 30 cm, their lengths at $0^{\circ}C$ should be

Question 41 :
An isotropic solid has linear expansion (coefficient of $a_x, a_y$ and $a_z$ for three rectangular axes in a solid). The coefficient of cubical expansion is

Question 43 :
An iron ring measuring $15.00\;cm$ in diameter is to be shrunk on a pulley which is $15.05\;cm$ in diameter. All measurements refer to the room temperature $20^{\circ}C$. To what minimum temperature should the ring be heated to make the job possible? Calculate the strain developed in the ring when it comes to the room temperature. Coefficient of linear expansion of iron $=12\times10^{-6}/^\circ C$.