Chapter 8, Problem 57E

Select the correct answer and explain your reasoning. An electron having $n=3$ and $m_t=0$ (a) must have $m_z=+\frac{1}{2}$ ; (b) must have $\mathcal{l}=1$ ; (c) may have $\mathcal{l}=0$ , 1, or 2; (d) must have $\mathcal{l}=2$ .