Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 21 - Think and Explain - Page 402-403: 50


See below.

Work Step by Step

It is very important to look at Figure 21.5 when answering this question. The fundamental frequency of vibration for a string occurs when the only two nodes are at the endpoints. This is illustrated in the top diagram in that figure. If you lightly touch the midpoint, you impose a node there. The string no longer vibrates at the old fundamental frequency, and now vibrates in two segments, as shown in the second diagram in Figure 21.5. The frequency of the second harmonic is twice the frequency of the fundamental. (Why? The wave speed stays the same, and is equal to (wavelength)(frequency). The wavelength is divided by 2, so the frequency increases by a factor of 2.
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.