If an electron in an atom has an orbital angular momentum with m$\_($l$)=3,$ what are the components $($a$)$ L$\_($orb$,$ z$)$ and $($b$)\backslash$mu $\_($orb$,$ z$)?$ If the atom is in

an external magnetic field that has magnitude $40$ mT and is directed along the z axis, what are $($c$)$ the potential energy U$\_($orb $)$ associated

with the electron's orbital magnetic dipole moment and $($d$)$ the magnitude of the potential energy U$\_($spin $)$ associated with the electron's

spin magnetic dipole moment? If$,$ instead, the electron has m$\_($l$)=-2,$ what are $($e$)$ L$\_($orb$,,$z$),($f$)\backslash$mu $\_($orb$,$z $),($g$)$ the potential energy U$\_($orb $)$ associated

with the electron's orbital magnetic dipole moment and $($h$)$ the magnitude of the potential energy U$\_($spin $)$ associated with the electron's

spin magnetic dipole moment?

$($a$)$ Number

$($b$)$ Number

$($c$)$ Number

$($d$)$ Number

$($e$)$ Number

$($f$)$ Number

$($g$)$ Number

$($h$)$ Number

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