1. De Broglie:
A mole of hydrogen gas was found to have an average De Broglie's wavelength of 1A (10^-10m), the approximate length of the H-H bond. What temperature is the gas kept at?
(Hint: calculate the average square velocity or kinetic energy).
2. Vibrations:
A certain diatomic molecule vibrates with a characteristic frequency v= 2.45x10^9s^-1 (these are microwaves). Calculate the relative population of the ground state and first excited state at 1K.