Fundamentals of Physics Extended (10th Edition)

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

Chapter 38 - Photons and Matter Waves - Problems - Page 1184: 54c

Answer

$37.74$ $eV$

Work Step by Step

From the previous section of this problem, we have calculated the momentum of the electron: $p=3.315\times 10^{-24}$ $kg.m/s$ Now, the energy of an electron can be written as $E=\frac{p^2}{2m}$, where $m$ is the mass of the electron. Thus, the energy of the electron is given by $E=\frac{(3.315\times 10^{-24})^2}{2\times 9.1\times 10^{-31}}$ $J$ or, $E=\frac{(3.315\times 10^{-24})^2}{2\times 9.1\times 10^{-31}\times1.6\times 10^{-19}}$ $eV$ or, $E\approx 37.74$ $eV$
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