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.