Fundamentals of Physics Extended (10th Edition)

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

Chapter 44 - Quarks, Leptons, and the Big Bang - Problems - Page 1364: 33

Answer

$\lambda = 668~nm$

Work Step by Step

We can find the radial velocity of the galaxy relative to us: $v = Hr$ $v = (0.0218~m/s~ly)(2.40\times 10^8~ly)$ $v = 5.232\times 10^6~m/s$ We can find the observed wavelength: $v = \frac{\lambda-\lambda_0}{\lambda_0}~c$ $\frac{v~\lambda_0}{c} = \lambda-\lambda_0$ $\lambda = \frac{v~\lambda_0}{c} + \lambda_0$ $\lambda = \frac{(5.232\times 10^6~m/s)~(656.3~nm)}{3.0\times 10^8~m/s} + 656.3~nm$ $\lambda = 668~nm$
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