Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 28 - Quantum Mechanics of Atoms - Questions - Page 825: 30

Answer

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Work Step by Step

See Example 28-7, which illustrates how the Bohr model can be used to calculate the wavelengths of x-rays corresponding to electron transitions. In that example, for an electron dropping from n = 2 down to n = 1 in molybdenum (Z=42), the wavelength is estimated to be 0.072 nm. This is very close to the observed $K_{\alpha}$ line at 0.071 nm, so we attribute the $K_{\alpha}$ line to the transition between n = 2 and n = 1. Similarly, we can use the Bohr model to estimate the wavelength of an electron dropping from n = 3 down to n = 1 and match it to the $K_{\beta}$ line. We can estimate the wavelength of an electron dropping from n = 3 down to n = 2 and match it to the $L_{\alpha}$ line, etc.
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