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 474: 45b

Answer

$157.5\;m/s$

Work Step by Step

The lowest resonant frequency, i.e., the first harmonic of the stretched string is $105\;Hz$. Thus, we have $f_1=\frac{v}{2L}$ or, $v=2f_1L$ Substituting the given values, we obtain $v=2\times105\times0.75\;m/s$ or, $v=157.5\;m/s$ Therefore, the wave speed is $157.5\;m/s$
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