Conceptual Physics (12th Edition)

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

Chapter 21 - Think and Explain: 67

Answer

5 nodes. 7 nodes.

Work Step by Step

Please see the attached diagram. Not counting the endpoints, there are 5 nodes in a standing wave that contains three full wavelengths. Not counting the endpoints, there are 7 nodes in a standing wave that contains four full wavelengths. In general, not counting the endpoints, there are (2n - 1) nodes in a standing wave that contains n full wavelengths.
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