Fundamentals of Physics Extended (10th Edition)

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

Chapter 37 - Relativity - Problems: 99a

Answer

$420 nm$

Work Step by Step

To find the apparent wavelength of the light, use the Doppler effect for light equation $$\lambda'=\lambda_o \sqrt{\frac{1-\beta}{1+\beta}}$$ Since $v=0.42c$ and $v=\beta c$, $\beta=0.42$. Using known values of $\beta=0.42$ and $\lambda_o=650nm$ yields an apparent wavelength of $$\lambda '=(650nm)\sqrt{\frac{1-0.42}{1+0.42}}=420nm$$
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