Which of the following is a valid set of quantum numbers?

Question

Which of the following is a valid set of quantum numbers?

a. {4, 1, -1, -1⁄2}

b. {3, 1, -2, +1⁄2}

c. {1, 0, -1, +1⁄2}

d. {5, 2, 0, -1}

Answer 1

b. {3, 1, -2, +1⁄2} is not valid because if l is 1, ml cannot be -2 as it can only be -1, 0 or +1.

c. {1, 0, -1, +1⁄2} is not valid because if l is 0, ml cannot be -1 as it must also be 0.

d. {5, 2, 0, -1} is not valid because the spin (4th quantum number) must be either +1/2 or - 1/2. It cannot be 1.