Question

Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom?
Check all that apply.
2, -3, 1/2
-3, 2, 2, -1/2
5, 2, 1, -1/2
3, 2, 2, -1/2
4, 3, 4, -1/2
3, 2, 1, -1
4, 3, -2, 1/2
3, 3, 1, -1/2

Answer 1

Here are the rules. If you don't know them you should.
n = 1,2,3,4, etc..........
l = 0,1,2, etc up to n-1
ml = -l in increments of 1 to 0 and up to +l; i.e., for l = 2 then ml can be -2,-1,0 ,+1, +2
ms = only +1/2 or -1/2
Here are your first 3 answers which I will call A,B,C.
A. 2, -3, 1/2
B -3, 2, 2, -1/2
C 5, 2, 1, -1/2
A can't be correct because l can't be negative.
B can't be right because n can't be negative.
C is possible. The rules (read them) allow these numbers.
You do the others.