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: 41

Answer

$\frac{KE_e}{KE_p}=1830$

Work Step by Step

The particles are not relativistic, so $KE=\frac{p^2}{2m}$. $$KE=\frac{p^2}{2m}$$ Use equation 27–8. $$KE=\frac{h^2}{2m\lambda^2}$$ Form the desired ratio of the kinetic energies. The wavelengths are equal. $$\frac{KE_e}{KE_p}=\frac{m_p}{m_e}$$ $$\frac{KE_e}{KE_p}=\frac{1.67\times10^{-27}kg}{9.11\times10^{-31}kg}=1830$$
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