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 - Problems - Page 827: 36

Answer

Maximum: $5.0\times10^{4}eV$ Minimum: $6\times10^{3}eV$

Work Step by Step

The smallest wavelength x-ray has the most energy. From the figure, that is about 0.025 nm. In this problem, the value of hc is useful. Use the result stated in Chapter 27, Problem 29, $hc=1240\;eV \cdot nm$. Use equation 27–4, E = hf, and recall that $\lambda f = c$. $$E = hf = \frac{hc}{\lambda }=\frac{1240\;eV \cdot nm }{0.025 nm}=5.0\times10^{4}eV$$ The longest wavelength x-ray has the least energy. From the figure, that is about 0.2 nm. $$E = hf = \frac{hc}{\lambda }=\frac{1240\;eV \cdot nm }{0.2 nm}=6\times10^{3}eV$$
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