The other permitted values for is/are — Atomic Structure Chemistry Question

💡 Solution & Explanation

For $n=2$, permitted $l = (2-1) = 1$. ($2-3 = -1$ is negative and rejected). Thus $l=1$ only. For $l=1$, $j = 1+1/2 = 3/2$ or $1-1/2 = 1/2$. For $j=3/2$, valid $m$ values range from $-3/2$ to $+3/2$, which includes $-3/2$. So option (a) represents a valid subset of quantum numbers. Option (b) implies $l=0$ which is impossible. Option (c) assigns $m=-3/2$ for $j=1/2$, which is out of bounds. Therefore, correct answer is A.