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 491: 3

Answer

$\lambda=1.2m$

Work Step by Step

To find the frequency of the wave, use the formula $$v=f\lambda$$ to solve for frequency $f$. $$f=\frac{v}{\lambda}$$ Substitute known values of $v=2.0m/s$ and $\lambda=1.5m$ to get a frequency of $$f=\frac{2.0m/s}{1.5m}=1.3Hz$$ Use the same equation to solve for the wavelength $\lambda$. $$\lambda=\frac{v}{f}$$ Substitute the known values of $f=1.3Hz$ and $v=1.6m/s$ to get a wavelength of $$\lambda=\frac{1.6m/s}{1.3Hz}=1.2m$$
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