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8.0 8.2 8.4 8.6 8.8 9.0 9.2 Frequency (X 1013 Hz) Figure P42.11 Problems 11, 12, and 16. Intensity

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter34: Maxwell’s Equations And Electromagnetic Waves

Section: Chapter Questions

Problem 18PQ

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Question

(a) In an HCl molecule, take the Cl atom to be the isotope ³⁵Cl. The equilibrium separation of the H and Cl atoms is 0.127 46 nm. The atomic mass of the H atom is 1.007 825 u and that of the ³⁵Cl atom is 34.968 853 u. Calculate the longest wavelength in the rotational spectrum of this molecule. (b) What If? Repeat the calculation in part (a), but take the Cl atom to be the isotope ³⁷Cl, which has atomic mass 36.965 903 u. The equilibrium separation distance is the same as in part (a). (c) Naturally occurring chlorine contains approximately three parts of ³⁵Cl to one part of ³⁷Cl. Because of the two different Cl masses, each line in the microwave rotational spectrum of HCl is split into a doublet as shown. Calculate the separation in wavelength between the doublet lines for the longest wavelength.

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9.0
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Frequency (X 1013 Hz)
Figure P42.11 Problems 11, 12, and 16.
Intensity

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