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 = R4 (1-2) where n = 2, 3, 4, ... and the Rydberg constant Ry = 1.097 x 107 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). nm
(b) Compute the wavelength for the second line in this series (the line corresponding to n = 3). nm
(c) Compute the wavelength for the third line in this series (the line corresponding to n = 4). nm
(d) In which part of the electromagnetic spectrum do these three lines reside?
i. visible light region
ii. infrared region
iii. ultraviolet region
iv. gamma ray region
v. x-ray region