Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 16 - Waves-I - Questions - Page 471: 10c

Answer

Longer.

Work Step by Step

The frequency of a standing wave is defined as $f=\frac{nv}{2L}$. Using $v=f \lambda$ to relate frequency and wavelength, $v=\frac{nv \lambda}{2L}$, or $\lambda = \frac{2L}{n}$, after cancelling out terms. So, if the length of the string remains constant and the harmonic number decreases, the resonant wavelength must be longer.
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