( Ill) Imagine the two atoms of a diatomic molecule as if

Chapter , Problem 19

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( Ill) Imagine the two atoms of a diatomic molecule as if theywere connected by a spring, Fig. 40-45. Show that the classicalfrequency of vibration is given by Eq. 40-5. [Hint: Let jqand x2 be the displacements of each mass fromin itia l equilibrium positions; then m \d } x \/d t2 = - k x , andm2 d2x2/d t2 = kx, where x = X\ + x2 . Find anotherrelationship between x1 and x2, assuming that the center ofmass of the system staysat rest, and then showthat (xd2x /d t2 = kx.]

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