6.6 Exercise 44

In extreme-temperature environments, such as those existing in a solar corona, atoms may be ionized by undergoing collisions with other atoms. One example of such ionization in the solar corona is the presence of $\text{C}^{5 +}$ ions, detected in the Fraunhofer spectrum. (a) By what factor do the energies of the $\text{C}^{5 +}$ ion scale compare to the energy spectrum of a hydrogen atom? (b) What is the wavelength of the first line in the Paschen series of $\text{C}^{5 +}$ ? (c) In what part of the spectrum are these lines located?