Question

For angular momentum quantum number (l) = 3, the total number of integer values of magnetic quantum number (${\text{m}}_{\text{l}}$) will be:

• A. 3
• B. 5
• C. 7
• D. 9

Answer 1

The correct option is C 7

For certain value of l there are (2l+1) interger values of magnetic quantum number (ml) as follows -l, (-l+1)..., -1, 0, 1,....(+l-1), +l.

l represents angular momentum quantum number.
For l = 3, integer values of magnetic quantum number will be -3, -2, -1, 0, +1, +2 and +3.

The total number of integer values of magnetic quantum number = $\text{2}\times \left(3\right)+\text{1}$ = $\text{7}$.