If the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods,

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If the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 = (8π2n2)–1] times the frequency of the corresponding undamped oscillator.
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Fundamentals of Physics

ISBN: 978-0471758013

8th Extended edition

Authors: Jearl Walker, Halliday Resnick

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