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 - Problems - Page 509: 43a

Answer

There are 3 frequencies where resonance is set up in the pipe.

Work Step by Step

We can find the resonant frequencies of the pipe: $f = \frac{nv}{2L}$, where $n = 1,2,3,...$ $f = \frac{(n)(344~m/s)}{(2)(0.457~m)}$, where $n = 1,2,3,...$ $f = 376~Hz, 753~Hz, 1129~Hz, 1506~Hz, 1881~Hz, 2258~Hz,...$ There are 3 frequencies between $1000~Hz$ and $2000~Hz$ where resonance is set up in the pipe.
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