Question

Show that the first few frequencies of light that is emitted when electrons fall to the n^th level from levels higher than n, are approximate harmonics (i.e. in the ratio 1 : 2: 3...) when n >>1.

Answer 1

where m = n + p, (p = 1, 2, 3, ...) and R is Rydberg constant.

For p << n.

Thus, v_mn are approximately in the order 1, 2, 3...........