For a Maxwell-Boltzmann gas derive the expression for (i) the most probable speed (ii) the average speed and (iii) the root mean square speed and find their ratio (taking the most probable speed as unity).
Explain thermoionic emission. Discuss Richardson's derivation of the thermionic equation and show how the velocity distribution of the emitted electrons corroborates Fermi-Dirac distribution, Mention a few modern thermoionic emitters.
Write a note on Brownian motion and the importance of its study.
Write a note on Thermal ionization and its application.
Write a note on Super fluidity, explaining why it is a quantum phenomenon.
Calculate the root-mean-square speed of smoke particles of mass 5\times 10^{-14}\text{ g} in air 0^{\circ}\text{C}.
Consider the following equation of state for a gas: P = \frac{RT}{v-b} - \frac{a}{Tv^{2}} where a and b are constants and other symbols have their usual meaning. Find the values of P_{c}, T_{c} and V_{c} in terms of a and h at the critical point.
Using Maxwell-Boltzmann distribution law prove that there cannot be any negative absolute temperature.