Question

Which of the following options represent correct set of quantum numbers?

• A. $n=0,l=0,m=0,s=+\frac{1}{2}$
• B. $n=1,l=0,m=0,s=-\frac{1}{2}$
• C. $n=1,l=1,m=0,s=+\frac{1}{2}$
• D. $n=2,l=0,m=0,s=-\frac{1}{2}$

Answer 1

Answer: (B), (D)

$n=2,l=0,m=0,s=-\frac{1}{2}$

(a) $n$ cannot be zero for any orbital, hence the given set of quantum numbers does not exsist.
(b) $n=1,l=0,m=0,s=-\frac{1}{2}=1s$. This orbital exsist.
(c) If $n=1$, value of $l$ must be $0\text{to}(n-1)$. Hence, for $n=1$, value of $l\ne 1$. For $n=1$, possible value of $l$ is only $0$.
(d) $n=2,l=0,m=0,s=-\frac{1}{2}=2s$. This orbital exsist.