Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 42, Problem 15P
To determine

The magnitude of the ratio of the energies of the first excited state for the two different rotations.

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Most of the mass of an atom is in its nucleus. Model the mass distribution in a diatomic molecule as two spheres of uniform density, each of radius 2.00 x 10-15 m and mass 1.00 x 10-26 kg, located at points along the y axis as in 42.5a, and separated by 2.00 x 10-10 m. Rotation about the axis joining the nuclei in the diatomic molecule is ordinarily ignored because the first excited state would have an energy that is too high to access. To see why, calculate the ratio of the energy of the first excited state for rotation about the y axis to the energy of the first excited state for rotation about the x axis.
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The two nuclei in the carbon monoxide (CO) molecules are 0.1128 nm apart.  The mass of the carbon atom is 1.993x10-26 kg.  The mass of the oxygen atom is 2.656x10-26 kg.  Spectroscopic measurements show that adjacent vibrational energy levels for the CO molecule are 0.269 eV.   What is the effective spring constant of the CO molecule? (Give your answer in N/m.)
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