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 1183: 53b

Answer

$\lambda = 1.23\times 10^{-9}~m$

Work Step by Step

We can use Equation (38-20) to find the wavelength: $K = \frac{h^2}{2m \lambda^2}$ $\lambda^2 = \frac{h^2}{2m~K}$ $\lambda = \sqrt{\frac{h^2}{2m~K}}$ $\lambda = \sqrt{\frac{(6.63\times 10^{-34}~J~s)^2}{(2)(9.109\times 10^{-31}~kg)~(1.00~eV)(1.6\times 10^{-19}~J/eV)}}$ $\lambda = 1.23\times 10^{-9}~m$
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