Muonium is a hydrogen-like atom in which the electron is replaced with a muon, a fundamental particle with a charge of -e and a mass equal to 207me. (The muon is sometimes referred to loosely as a "heavy electron.")

(a) What is the Bohr radius of muonium?

(b) Will the wavelengths in the Balmer series of muonium be greater than, less than, or the same as the wavelengths in the Balmer series of hydrogen? Explain.

(c) Calculate the longest wavelength of the Balmer series in muonium.