If an electron in an atom has an orbital angular momentum with $m_l=1,$ what are the components $($a$)L_{\text{o}\text{r}\text{b}\text{,}z}$ and $($b$){}_{\text{o}\text{r}\text{b}\text{,}z}?$ If the atom is in an external magnetic field that has magnitude $36$ mT and is directed along the $z$ axis, what are $($c$)$ the potential energy $U_{\text{o}\text{r}\text{b}}$ associated with the electron's orbital magnetic dipole moment and $($d$)$ the magnitude of the potential energy $U_{\text{s}\text{p}\text{i}\text{n}}$ associated with the electron's spin magnetic dipole moment? If$,$ instead, the electron has $m_1=-2,$ what are $($e$)L_{\text{o}\text{r}\text{b}\text{,}z}$; $($f$){}_{\text{o}\text{r}\text{b}\text{,},},(g)$ the potential energy $U_{\text{o}\text{r}\text{b}}$ associated with the electron's orbital magnetic dipole moment and $(h)$ the magnitude of the potential energy $U_{\text{s}\text{p}\text{i}\text{n}}$ associated with the electron's spin magnetic dipole moment?