20. Zeke says that the magnitude of the orbital angular momentum in the hydrogen atom has the value L = ℓℏ. Ruth says that the maximum magnitude of the projection of the angular momentum along the direction of a constant magnetic field vector is . Which one, if either, is correct, and why?
(A) Ruth, because the maximum value of L is .
(B) Ruth, because the orbital angular momentum always lines up with a magnetic field so that has its maximum value along the field.
(C) Zeke, because the maximum magnitude of is L = ℓℏ.
(D) Zeke, because the orbital angular momentum always lines up with a magnetic field so that has its maximum value along the field.
(E) Neither, because they have interchanged the maximum magnitude of , , and ℓℏ, its maximum projection along a magnetic field direction.