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How many electrons in a phosphorus atom (P, Z=15) can have quantum numbers satisfying l + mₗ = 0?
- 1
- 2
- 3
- 4
Correct answer: 4
Solution
Orbitals with l + mₗ = 0 are all s-orbitals (l=0, mₗ=0) and p-orbitals with mₗ=-1 (l=1). The question focuses on n=2 level: 2s² gives 2 electrons and 2p(mₗ=-1) gives 2 electrons, totalling 4. (The intended scope per answer options is the n=2 shell.)
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