Atoms and Nuclei Problems - Numerical 06

Using the Rydberg formula, calculate the wavelengths of the first four spectral lines in the Balmer series of the hydrogen spectrum.

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Suggested solution:

The Rydberg formula is

The wavelengths of the first four lines in the Balmer series correspond to transitions from n_i = 3,4,5,6 to n_f = 2.

We know

Substituting,

n_i = 3, 4, 5 and 6, we get