Kinetic Theory ...

The number of translational degrees of freedom for a diatomic gas is 

On colliding in a closed container the gas molecules 

A thin walled hollow cylinder is rolling down an incline , without slipping. At any instant, without slipping. At any instant the ratio "Rotational K.E : Translational K.E : Total K.E" is 

According to the law of equipartition of energy, the energy associated with each degree of freedom is:

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of $$N_{2}$$ at temperature $$T_{0}$$, while box B contains one mole of $$H_{2}$$ at temperature 7/3 $$T_{0}$$. The boxes are then put into thermal contact with each other and heat flows between them until the gases reach a common final temperature [Ignore the heat capacity of boxes]. Then the final temperature of the gases $$T_{f}$$ in terms of $$T_{0}$$ is

A 90 cm long barometer tube contains some air above the mercury. The reading is 74.5 cm when the true pressure is 76 cm at the temperature $$15^{0} C$$. If the reading is observed to be 75.8 cm on a day when the temperature is $$5^{0}C$$, then the true pressure is:

Internal energy of $$n_{1}$$ moles of $$H_{2}$$ at temperature $$T$$ is equal to the internal energy of $$n_{2}$$ moles of He at temperature $$2T$$. Then the ratio $$\dfrac{n_{1}}{n_{2}}$$ is

A current passes through a resistor. Let $$K_{1}$$ and $$K_{2}$$ represent the average kinetic energy of the conduction electrons and the metal ions respectively, then:

A smooth vertical tube with two different cross-sections is open at both ends. They are fitted with  pistons of different areas of cross- section and each  piston moves within a particular section. One mole of a gas enclosed between the pistons which are tied with non-stretchable threads. The difference  in cross-sectional area of  pistons $$10\mathrm{c}\mathrm{m}^{2}$$ The mass of gas confined between  pistons is  5kg. The outside  pressure is 1 atmosphere$$=10^{5}N/m^{2}$$. By how many degrees must the gas between pistons be heated to shift the piston by 5 cm?

A horizontal uniform glass tube of 100cm length is sealed at both ends contains 10 cm mercury column in the middle the temperature and pressure of air on either side of mercury column are respectively 31$$^{0}$$C and 76cm of mercury if the air column at one end is kept at 0$$^{0}$$C and the other end at 273$$^{0}$$C the pressure of air which is at 0$$^{0}$$C is (in cm of Hg )