Answer
$L = 3.46~\hbar$
Work Step by Step
We can find an expression for the magnitude of $L$ when $l = 3$:
$L = \sqrt{l(l+1)}~~\hbar$
$L = \sqrt{(3)(3+1)}~~\hbar$
$L = \sqrt{12}~~\hbar$
$L = 3.46~\hbar$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.