University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 32 - Electromagnetic Waves - Problems - Exercises - Page 1073: 32.5

Answer

$f=3.0\times10^{18}Hz$, $T=3.3\times10^{-19}s$, $k=6.3\times10^{10} m^{-1}$.

Work Step by Step

All electromagnetic waves travel through vacuum at the speed of light. $$f=\frac{c}{\lambda}=\frac{3.00\times10^{8}m/s}{0.10\times10^{-9}m}=3.0\times10^{18}Hz$$ $$T=\frac{1}{f}=3.3\times10^{-19}s$$ $$k=\frac{2 \pi}{\lambda}=\frac{2 \pi}{0.10\times10^{-9}m}=6.3\times10^{10} m^{-1}$$
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