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The Q -value of an underdamped harmonic oscillator of frequency 480 Hz is 80000 . The number of oscillation does

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The Q -value of an underdamped harmonic oscillator of frequency 480 Hz is 80000 . The number of oscillation does it take in time in which its amplitude decays to 1/e of its initial value is ………….…. 

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if  τm is the mean time in which amplitude decays to 1/e   of initial value. Then the number of oscillation in time m τm is N = Q/π = 80000/π = 25464.8

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