Fundamentals of Physics Extended (10th Edition)

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

Chapter 40 - All About Atoms - Problems - Page 1248: 35b

Answer

$56.6\;pm$

Work Step by Step

The $K_{\alpha}$ spectral line originates when an electron from the $L$ shell fills a hole in the $K$ shell. The energy difference between $K$ and $L$ shells of silver is $\Delta E=(25.51-3.56)\;keV=21.95\;keV$ Therefore, the wavelength of the $K_{\alpha}$ line for silver target is $\lambda_{\alpha}=\frac{hc}{\Delta E}=\frac{6.63\times 10^{-34}\times3\times3^{8}}{21.95\times10^3\times1.6\times 10^{-19}}\;m$ $\lambda_{\alpha}=5.66\times10^{-11}\;m$ $\lambda_{\alpha}=56.6\;pm$
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