Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 24 - The Wave Nature of Light - General Problems - Page 711: 82

Answer

0.5 cm

Work Step by Step

The phase difference between beams that reflect from the top surface vs the bottom surface should be $180^{\circ}$ to produce destructive interference. This occurs if the path difference between the beams is half a wavelength. The path difference is twice the thickness of the coating. $$2t=\frac{1}{2}\lambda$$ $$t=\frac{1}{4}\lambda=\frac{1}{4}(2cm)=0.5cm$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.