Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 21 - Superposition - Exercises and Problems - Page 624: 65

Answer

$170\;\rm Hz$

Work Step by Step

At your initial position, there is a maximum sound intensity, so $$\Delta r=m\lambda$$ At your final position, there is the first minimum sound intensity, so $$\Delta r=r_2-r_1=\dfrac{\lambda}{2}$$ where $r_1=12$ m, and $r_2=\sqrt{5^2+12^2}$, and $\lambda=v/f$, $$ \sqrt{5^2+12^2}-12=\dfrac{v}{2f}$$ Solving for $f$, $$f=\dfrac{v}{2[\sqrt{5^2+12^2}-12]}$$ $$f=\dfrac{340}{2[\sqrt{5^2+12^2}-12]}$$ $$f=\color{red}{\bf 170}\;\rm Hz$$
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