A hydrogen atom is in the $6$g state. $($a$)$ What is the prin$-$ cipal quantum number? $($b$)$ What is the energy of the atom? $($c$)$ What are the values for the orbital quantum number and the magnitude of the electron$$s orbital an$-$ gular momentum? $($d$)$ What are the possible values for the magnetic quantum number? For each value, find the corresponding z component of the electron$$s or$-$ bital angular momentum and the angle that the orbital

angular momentum vector makes with the z$-$axis.