Question

For the angular momentum quantum number l=2 , how many possible values are there for the magnetic quantum number (m subscript l)?

1
3
5
8

Answer 1

angular momentum quantum number:     $l$

magnetic quantum number:     $m_{l}$


The magnetic quantum number     $m_{l}$    may take values $-l$ through    $+l$.

In this case   $l$      is 2, so the magnetic quanum number may take values - 2, - 1, 0, +1 and + 2. That is 5 possible values.

Therefore, the answer is 5.