University Physics with Modern Physics (14th Edition)

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

Chapter 37 - Relativity - Problems - Exercises - Page 1249: 37.25

Answer

The source is moving toward you at 0.220c.

Work Step by Step

The Doppler effect shifts the frequency of the source, due to its motion. The source is moving toward you, because you perceive a higher frequency. $$f=\sqrt{\frac{c+u}{c-u}}f_0=1.25f_0$$ $$ \sqrt{\frac{c+u}{c-u}}=1.25$$ $$ u=\frac{1.25^2-1}{1.25^2+1}c$$ $$u=0.220c$$
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