Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 33 - Electromagnetic Waves - Problems - Page 1001: 6

Answer

$\lambda=4.74m$

Work Step by Step

$\omega=\frac{1}{\sqrt{LC}}$ We plug in the known values to obtain: $\omega=\frac{1}{\sqrt{(0.253\times 10^{-6})(25\times 10^{-12})}}=3.9762\times 10^8\frac{rad}{s}$ Next, we find the frequency; $f=\frac{\omega}{2\pi}=\frac{3.9762\times 10^8}{2(3.1416)}=6.328\times 10^7Hz$ Now, we find wavelength using the formula $\lambda=\frac{c}{f}$; $\lambda=\frac{3\times 10^8}{6.328\times 10^7}=4.74m$
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