Step 1: Quantum Numbers for Rb.
Rubidium (Rb) has an atomic number of 37, so its electron configuration ends in the 5th shell (5s), meaning the principal quantum number is 5. The correct set of quantum numbers for its outer electron is \( 5, 1, 0, 1/2 \).
Step 2: Conclusion.
The correct answer is (B), \( 5, 1, 0, 1/2 \).