Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 14 - Waves and Sound - Problems and Conceptual Exercises - Page 494: 65

Answer

$0.31KHz$

Work Step by Step

We can find the required frequency as follows: $d_1=\sqrt{(5.0m)^2+(\frac{1}{2}(3.5m+0.84)^2}$ $d_1=5.631m$ and $d_2=\sqrt{(5.0m)^2+(\frac{1}{2}(3.5m-0.84)^2}$ $d_1=5.082m$ Now $d_1-d_2=\frac{1}{2}\lambda$ $\implies \lambda=2(d_1-d_2)$ $\lambda=2(5.631m-5.082m)=1.098m$ The frequency is given as $f=\frac{v}{\lambda}$ We plug in the known values to obtain: $f=\frac{343}{1.098}$ $f=0.31KHz$
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