Question

What is the relation between quantum number ($l$) and the number of electrons ($n$) in the sub level?

• A. $n=2l+1$
• B. $l=2n+1$
• C. $n=4l+2$
• D. $n={2l}^2$

Answer 1

The correct option is C $n=4l+2$

For an orbital quantum number $l$ , number of possible values of $m=2l+1$.
Each such $m$ can occupy 2 electrons each(Pauli's exclusion principle). Therefore, total number of electrons, $n=2(2l+1)=4l+2$.