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 800: 35

Answer

$E_{min}=212MeV$ $\lambda=5.87\times10^{-15}m$

Work Step by Step

This photon has just enough energy to create the 2 muons, with zero kinetic energy. $$E_{min}=2mc^2=2(207)(0.511MeV)=212MeV$$ Use equation 27–6. $$\lambda=\frac{hc}{E}$$ $$\lambda=\frac{(6.63\times10^{-34}J \cdot s) (3.00\times10^8m/s)}{(211.6\times10^{6}eV)(1.60\times10^{-19}J/eV) }$$ $$\lambda=5.87\times10^{-15}m$$
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