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3. The amplitude of a damped harmonic oscillator drops to = of its initial value after n complete cycles. Show that the ratio of period

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3. The amplitude of a damped harmonic oscillator drops to = of its initial value after n complete cycles. Show that the ratio of period of the oscillation to the period of the 1 1 same oscillator with no damping is given by T. [1 + ~1+ 412n2 8n272 , Where the approximation in the last expression is valid if n is large

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