Question

For hydrogen, an electron is in 2p state. Obtain the magnitude of orbital angular momentum and possible

z-components of orbital angular momentum 𝐿⃗ . What would be the possible values of total angular

momentums (𝐽 ) and associated magnetic moments 𝜇𝐽

⃗⃗⃗

Answer 1

The magnitude of orbital angular momentum is

$$L=\dfrac h{2\pi}\sqrt{l(l+1)}.$$

The z-components are

$$L_z=m_l\dfrac h{2\pi}.$$