In 1885, Johann Balmer, a numerologist, derived the following relation for the wavelength of lines in the visible
spectrum of hydrogen:
Wavelength = 364.6 n²/(n^2 - 4)
where wavelength is in nanometers and n is an integer that can be
3, 4, 5, Show that this relation follows from the Bohr
equation and Equation 5.2. Note that, for the Balmer series, the electron is returning to the n = 2 level.