The Lyman series comprises a set of spectral lines. All of these lines involve a hydrogen atom whose electron undergoes a change in energy level, either beginning at the n = 1 level (in the case of an absorption line) or ending there (an emission line).
The inverse wavelengths for the Lyman series in hydrogen are given by:
1/λ = RH (1 - 1/n^2) ,
where n = 2, 3, 4, and the Rydberg constant RH = 1.097 x 10^7 m^−1. (Round your answers to at least one decimal place. Enter your answers in nm.)
(a) Compute the wavelength for the first line in this series (the line corresponding to n = 2).
(b) Compute the wavelength for the second line in this series (the line corresponding to n = 3).
(c) Compute the wavelength for the third line in this series (the line corresponding to n = 4).
(d) In which part of the electromagnetic spectrum do these three lines reside?
O visible light region
O infrared region
O ultraviolet region
O gamma ray region
O x-ray region