Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 27 - Early Quantum Theory and Models of the Atom - Problems - Page 799: 30

Answer

$22^{\circ}$.

Work Step by Step

Apply equation 27–7. $$\lambda ‘=\lambda + \frac{h}{m_e c}(1-cos \phi)$$ $$\Delta \lambda = \frac{h}{m_e c}(1-cos \phi)$$ $$\phi = cos^{-1} (1-\frac{m_e c \Delta \lambda }{h})$$ $$\phi = cos^{-1} (1-\frac{(9.11\times10^{-31}kg) (3.00\times10^8 m/s)(1.7\times10^{-13}m)}{6.626\times10^{-34}J\cdot s})$$ $$\approx 22^{\circ}$$
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