[QUE/SM-04019] SM-PROBLEM

The average kinetic energy of the hydrogen atoms in a certain stellar atmosphere ( assumed to be in equilibrium) is $1$ electron volt.

(a) What is the temperature in Kelvin?

(b) What is the ratio of the number of atoms in the $N=3$ state to the number in the ground state.

(c) Discuss qualitatively the ration of the number of ionized atoms to the atoms in the $N\,=\,3$ state, with out taking the density of states for the ionized atoms, i.e., taking only the Boltzmann factor. ( Taking the density of states has an interesting consequence, first pointed out by Prof. M.N.Saha . Will discuss
this in the class)