Question

ind which of the following sets of quantum numbers is impossible( more than one set is incorrect) and explain why next to each case. (2, 0, 0, 12) (2, 2, 2, %) (4, 3, 0, 1h) (2, 3, 2, h)

Answer 1

The set of quantum no is written as (n,l,m,s).

Every valid/possible set must folow the following rules:

1) n $\geq$ 1

2) 0 $\leqslant$   l n

3) -l $\leqslant$ m $\leqslant$ +l

4) s = 1/2 or -1/2

When we follow these rules we see that the only possible options are 2 and 4.