Physics: Principles with Applications (7th Edition)

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

Chapter 29 - Molecules and Solids - Problems - Page 854: 11

Answer

$5.21\times10^{-4}m$.

Work Step by Step

The value of the rotational inertia of CO is calculated in Example 29–2. Use equation 29–2 to find the energy of the photon. $$\Delta E=\frac{\hbar ^2}{I}\ell$$ $$=\frac{(1.055\times10^{-34}J \cdot s)^2}{1.46\times10^{-46}kg \cdot m^2}(5)=3.812\times10^{-22}J$$ Now find the wavelength. $$\lambda=\frac{c}{f}=\frac{hc}{hf}=\frac{hc}{\Delta E}$$ $$=\frac{(6.626\times10^{-34}J \cdot s)(3.00\times10^8m/s)}{ 3.812\times10^{-22}J }=5.21\times10^{-4}m$$
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