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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.

-4, 3, 1, 1/2
2, 1, -2, 1/2
4, 2, 1, -1/2
4, 2, -1, -1/2
2, 4, 1, -1/2
5, 3, -3, 1/2
5, 3, 4, 1/2
3, 2, 0, -2

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2 answers
  1. n can be any positive integer.
    l can be any integer from 0 to n-1
    ml can be -l to +l in steps of 1
    ms can be either +1/2 or -1/2

    1 is no because n can't be negative.
    2 is no because ml can be -1,0,or +1 but not 2.
    3 is OK.
    You go through the others.

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  2. 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.3, 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

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