Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 20 - Traveling Waves - Conceptual Questions - Page 585: 9

Answer

a) $0\;\rm rad$ b) $4\pi\;\rm rad$ c) $\pi\;\rm rad$

Work Step by Step

a) We can see, from the given graph, that points A and B are at the front of the same wave. So, $$\boxed{\Delta \phi_{(A|B)}=\color{red}{0}\;\rm rad}$$ b) $$\Delta \phi_{(C|D)}=2\pi\dfrac{\Delta r}{\lambda}$$ where $\Delta r$ here is about $2\lambda$ $$\Delta \phi_{(C|D)}=2\pi\dfrac{2\lambda}{\lambda}$$ $$\boxed{\Delta \phi_{(C|D)}=\color{red}{4\pi}\;\rm rad} $$ c) $$\Delta \phi_{(E|F)}=2\pi\dfrac{\Delta r}{\lambda}$$ where $\Delta r=\frac{1}{2}\lambda$ $$\Delta \phi_{(E|F)}=2\pi\dfrac{\frac{1}{2} \lambda}{\lambda}$$ $$\boxed{\Delta \phi_{(C|D)}=\color{red}{\pi}\;\rm rad} $$
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.