Question

Find the shortest wavelength of the Paschen series, given that the longest wavelength of the Balmer series in the hydrogen spectrum is 6563 Å.

Answer 1

Let λ_Bα and λ_P∞ be the wavelength of the first line, i.e., the longest wavelength line, of the Balmer series and the shortest wavelength of the Paschen series, respectively.

Data : λ_Bα = 6560 Å

For the longest wavelength of the Balmer series,

n = 2 and m = 3.

For the shortest wavelength of the paschen series,

n = 3 and m = \(\infty\).

Dividing Eq. (1) by Eq. (2), we get,