1. A certain molecule has a characteristic rotational energy of 5.56 e-4 eV. What is the energy of the decay photon towards the state with angular momentum quantum number l = 5?
2. The spectrum of a distant star shows that one in 5e6 of the atoms of a particular element is in its first excited state 3.7 eV above the ground state. What is the temperature of the star? (You can ignore the other excited states and assume the ratio of statistical weights is 4.)
3. (a) A gas of particles is in equilibrium at a temperature of 9 K. Assume that the normalization parameter alpha = 0. Calculate the value of the statistical distribution factor f(E) for a kinetic energy of E = 8.1 e-4 eV assuming that the particles are distinguishable.
(b) Calculate f(E) assuming that the particles are indistinguishable and obey the Paul exclusion principle. (c) Calculate f(E) assuming the particles are indistinguishable and their wavefunction is symmetric about the exchange of any pairs of particles.