Ahydrogen atom is placed in a magnetic field of strength b that is pointing in the +z direction. the magnetic dipole moment caused by the electron's spin angular momentum can be approximated by the bohr magneton m5.8 x 10sev/t. the ground state energy of the hydrogen atom in zero magnetic field is given by eo- -13.6ev. 2me (1) find the energy levels of the electron that include energy from both motional and spin degrees of freedom. express your results using e0, b, and b+ (2) assume b 104t. find the lowest four eigenenergies of the electron in unit of ev. are there any degeneracies?