Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 22 - Electromagnetic Waves - Problems - Page 642: 34

Answer

a. From $\lambda=2.78m$ to $\lambda=3.41m$ b. From $\lambda=180m$ to $\lambda=561m$

Work Step by Step

Use equation 22–4, $c=\lambda f$. a. Calculate the range of FM radio wavelengths. The highest frequency has the shortest wavelength. $$\lambda=\frac{c}{f}=\frac{3.00\times10^8m/s }{1.08\times10^8Hz}$$ $$\lambda=2.78m$$ $$\lambda=\frac{c}{f}=\frac{3.00\times10^8m/s }{8.8\times10^7Hz}$$ $$\lambda=3.41m$$ b. Calculate the range of AM radio wavelengths. The highest frequency has the shortest wavelength. $$\lambda=\frac{c}{f}=\frac{3.00\times10^8m/s }{1.7\times10^6Hz}$$ $$\lambda=180m$$ $$\lambda=\frac{c}{f}=\frac{3.00\times10^8m/s }{5.35\times10^5Hz}$$ $$\lambda=561m$$
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