GRE GR 1777, Problem 012 Solution

Physics GRE GR 1777

  1. Quantum Mechanics (Quantum number)

The magnetic quantum number m_{l} can be determined as

m_l = -l, -(l+1), .., -1, 0, 1, .., +(l-1), +l

Thus, the number of allowed values of m_l is

N_{m_{l}} = (2l + 1).

Therefore, when l = 2, the number of allowed values of m_l 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

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