Is n = 5, ℓ = −3, mℓ = −2, ms = + 1 2 a valid set of quantum numbers?
1. No, because ℓ cannot be negative.
2. No, because m cannot be negative.
3. No, because ℓ must be equal to n − 1.
4. Yes
5. No, because n cannot be as large as 5.
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no because
ℓ = to n-1
your n is 5
so the maximum ℓ you can have is 4,3,2,1,0
ℓ can not go into the negatives
the answer is 1
1.