Which combinations of quantum numbers n, l, m and s for the electron in an atom does not provide a permissible solution of the wave equation?

Question

Which combinations of quantum numbers n, l, m and s for the electron in an atom does not provide a permissible solution of the wave equation? (A)  3,2,1,(1/2)  (B)  3,1,1,-(1/2)  (C)  3,3,1,-(1/2)  (D)  3,2,-2,(1/2)

Tardigrade Admin · Accepted Answer

When n=3 number of values of l are 0 to n-1 i.e., 0,1,2. Hence, when n=3, then l=3 does not exist.

Q. Which combinations of quantum numbers $n, l, m$ and $s$ for the electron in an atom does not provide a permissible solution of the wave equation?

$3, 2, 1, \frac{1}{2}$

$3, 1, 1, - \frac{1}{2}$

$3, 3, 1, - \frac{1}{2}$

$3, 2, - 2, \frac{1}{2}$

When $n = 3$ number of values of $l$ are 0 to $n - 1$ i.e., $0, 1, 2$ . Hence, when $n = 3$ , then $l = 3$ does not exist.

Q. Which combinations of quantum numbers n,l,m and s for the electron in an atom does not provide a permissible solution of the wave equation?

3,2,1,21​

3,1,1,−21​

3,3,1,−21​

3,2,−2,21​