4. Assuming that all the level populations are given by
where gi,j are statistical weights, then consider the three lowest levels
in Hydrogen with g1 = 2, g2 = 8, and g3 = 18, and energy levels En
given by

Plot (with a program like Excel) the fraction of Hydrogen [ni/NTotal] in
level i (i = 1, 2, 3) versus temperature T . Do not account for ionization.
Explain your results. Do they make sense? From what you know about
the strength of H lines versus stellar spectral type or temperature T ,
do you find the results surprising?