Physics GRE GR 1777

- Quantum Mechanics (Quantum number)

The magnetic quantum number can be determined as

Thus, the number of allowed values of is

.

Therefore, when , the number of allowed values of is 5.

The answer is (E).

References)

https://chem.libretexts.org/Core/Physical_and_Theoretical_Chemistry/Quantum_Mechanics/10%3A_Multi-electron_Atoms/Quantum_Numbers

https://en.wikipedia.org/wiki/Magnetic_quantum_number