College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 27 - Problems - Page 1042: 24


$\lambda_i = 121.8~pm$

Work Step by Step

We can find the Compton shift in wavelength: $\Delta \lambda = \frac{h}{mc}~(1-cos~\theta)$ $\Delta \lambda = \frac{6.626\times 10^{-34}~J~s}{(9.1\times 10^{-31}~kg)(3.0\times 10^8~m/s)}~(1-cos~100.0^{\circ})$ $\Delta \lambda = (2.427~pm)~(1.17365)$ $\Delta \lambda = 2.848~pm$ We can find the wavelength of the incident photons: $\Delta \lambda = \lambda_f-\lambda_i$ $\lambda_i = \lambda_f-\Delta \lambda$ $\lambda_i = (124.65~pm)- (2.848~pm)$ $\lambda_i = 121.8~pm$
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