Question

Which of following set of quantum numbers are not possible :-

• A. $n=3,\ell =2,m=0,s=-1/2$
• B. $n=3,\ell =2,m=-2,s=-1/2$
• C. $n=3,\ell =3,m=-3,s=-1/2$
• D. $n=3,\ell =1,m=0,s=-1/2$

Answer 1

The correct option is C $n=3,\ell =3,m=-3,s=-1/2$

For a particular n value,

l values is from 0 to n−1.

For a particular l value,

m values are −l to +l

In all options n = 3

$\therefore$ for value of n = 3, l must be between 0 to 2 .

But in option C ;

l = 3 and m = -3 that is not possible .

Hence, option C is correct.