Modern Physics
Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 6, Problem 46E

(a)

To determine

To sketch:

Group velocity versus wave number.

(b)

To determine

Group velocity and wavelength

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A hydrogen atom of mass 1.67 x 10 27 kg is attached to a very large'protein by a bond that behaves much like a spring. (a) If the vibrational frequency of the hydrogen is 1.0 x 10 14 Hz,  what is the “effective” force constant of this spring-type bond? (b) If the total vibrational energy is kT (k is Boltzmann’s constant), approximately what is the classical amplitude of vibration at room temperature? By comparison, the diameter-of a hydrogen atom is about 10 -10  m ?
A periodic, standing wave exists on a string of length L=3.69m.  If a particular wave is measured to have a wave velocity of v=27.24 m/s, what is the frequency (in Hz) of the n=9 vibrational mode?
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