Q. Consider the following sets of quantum numbers (n, l, m, s): (i) 3, 0, 0, +1/2 (ii) 2, 2, 1, +1/2 (iii) 4, 3, −2, −1/2 (iv) 1, 0, −1, −1/2 (v) 3, 2, 3, +1/2 Which of the following sets of quantum number is not possible?
A) (i), (ii), (iii) and (iv)
B) (ii), (iv) and (v)
C) (i) and (iii)
D) (ii), (iii) and (iv)
Explanation
[Solution from source] (ii) is impossible because l must be less than n (l = 2 with n = 2), (iv) because m must lie between −l and +l (m = −1 with l = 0) and (v) because m = 3 exceeds l = 2. (i) and (iii) are valid, so the impossible sets are (ii), (iv) and (v). Answer (2).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.