Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 16 - Traveling Waves - Exercises and Problems: 25

Answer

(a) $v = 1.9\times 10^8~m/s$ (b) $f = 4.5\times 10^{14}~Hz$

Work Step by Step

(a) We can find the index of refraction of the solid as: $n = \frac{\lambda_a}{\lambda_s}$ $n = \frac{670~nm}{420~nm}$ $n = 1.6$ We can find the speed of light as it travels through the solid as: $v = \frac{c}{n}$ $v = \frac{3.0\times 10^8~m/s}{1.6}$ $v = 1.9\times 10^8~m/s$ (b) We can find the frequency of the wave as it travels through the solid as: $f = \frac{v}{\lambda}$ $f = \frac{1.9\times 10^8~m/s}{420\times 10^{-9}~m}$ $f = 4.5\times 10^{14}~Hz$
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