Fundamentals of Physics Extended (10th Edition)

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

Chapter 17 - Waves-II - Questions - Page 505: 6

Answer

All the odd harmonics of pipe B have a frequency that matches a resonant frequency of pipe A.

Work Step by Step

We can write an expression for the harmonics of pipe B: $f = \frac{nv}{2(2L)} = 0.25~\frac{nv}{L},$ where $n = 1,2,3,...$ We can write an expression for the harmonics of pipe A: $f = \frac{nv}{4L} = 0.25~\frac{nv}{L},$ where $n = 1,3,5,...$ We can see that all the odd harmonics of pipe B have a frequency that matches a resonant frequency of pipe A.
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