If an electron in an atom has an orbital angular momentum with m = 0, what

If an electron in an atom has an orbital angular momentum with m ℓ = 0, what are the components

(a) L orb, z = and

(b) μ orb, z? If the atom is in an external magnetic field B that has magnitude 35mT and is directed along the z axis, what are?

(c) The potential energy U orb, associated with μ orb and

(d) The potential energy U spin associated with μ s? If instead, the electron has m ℓ = 3, what are

(e) L orb, z

(f) μ orb, z

(g) U orb and

(h) U spin?