Question

Among the following set of quantum numbers, the impossible set is

• A. $n=3,l=2,m=-3,s=-\frac{1}{2}$
• B. $n=4,l=0,m=0,s=\frac{1}{2}$
• C. $n=5,l=3,m=0,s=-\frac{1}{2}$
• D. $n=3,l=2,m=-2,s=\frac{1}{2}$

Answer 1

The correct option is A $n=3,l=2,m=-3,s=-\frac{1}{2}$

For each value of $n$, l can take values from $0$ to $n-1$ and for each value of $l,m$ goes from $-1$ to $+1$.
Thus, for $l=2,m$ can take values: $-2,-1,0,1,2$ but not $-3$.