HW 5.1 (3 points) The D1 line in Na (32131\" > 3251(2) is characterized by a wavelength of 589.8 nm. However, when looking into the Spectra of the sun, it is observed that this line splits into several lines according to the Zeeman effect, i.e., energy levels in atoms split in the presence of magnetic elds due to the coupling between the angular momentum (orbital and intrinsic) to the external magnetic eld. Therefore, the splitting of these lines can he used to determine the sun's magnetic eld. (a) (1 point) Calculate the level splitting of the two involved states as a function of the magnitude of the magnetic eld. (In) (1 point) Calculate the wavelengths of all possible transitions. (c) (1 point) Assuming a difference on the wavelength of 2M = 0.011'1m with respect to the eld-free case due to the shortest wavelength derived in part(h), calculate the magnitude of the sun's magnetic field