Question
The difference in energy between allowed oscillator states in HBr molecules is 0.330 eV. What is the oscillation frequency of this molecule?
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Final Answer

7.97×1013 Hz7.97\times 10^{13}\textrm{ Hz}

Solution video

OpenStax College Physics for AP® Courses, Chapter 29, Problem 2 (Problems & Exercises)

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Video Transcript
This is College Physics Answers with Shaun Dychko. The energy difference between allowed oscillator states in Hydrogen Bromide is 0.330 electron volts and the question here is what is the difference in frequency then between these adjacent oscillator state energies? So the difference in energy is Planck's constant times the difference in frequency and we can solve for Δf by dividing both sides by h. So the difference in frequency between these oscillator states is 0.330 electron volts divided by 4.14 times 10 to the minus 15 electron volt seconds and I have chosen this value for Planck's constant because its units of electron volts will cancel with what we have in the numerator and we'll be left with reciprocal seconds, which is hertz. So the frequency difference then is 7.97 times 10 to the 13 hertz.