Answer
$\Delta L = 1.75~\mu m$
Work Step by Step
We can find the path length difference corresponding to the fourth dark band:
$\Delta L = (m+0.5)~\lambda$
$\Delta L = (3+0.5)(500~nm)$
$\Delta L = 1.75~\mu m$
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.