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 - Problems - Page 476: 58b

Answer

No standing wave created.

Work Step by Step

Using the formula $f_n=nf_1$ and finding $f_1$, the harmonic number can be found. Find $f_1$ using $$f_1=\frac{v}{2L}$$ Since $v=\sqrt{\frac{\tau}{\mu}}=\sqrt{\frac{1.00 \times 9.80}{0.0016}}=78.3$ m/s. Substituting velocity leaves $$f_1=\frac{78.3}{2(1.20)}=32.6 Hz$$ Finally, rearranging the equation $f_n=nf_1$ leaves $n=\frac{f_n}{f_1}$, or $$n=\frac{120}{32.6}\approx3.7$$ This is not close to a whole number, therefore, no harmonic is produced.
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