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In damped oscillations, the amplitude of oscillations is reduced to one third of its initial value at the end of 100 oscillations. When the oscillator completes 200 oscillations, its amplitude will be

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$\frac{a_{0}}{6}$

$\frac{a_{0}}{3}$

$\frac{a_{0}}{12}$

$\frac{a_{0}}{9}$

answer is A.

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Detailed Solution

$In this damped oscillation every 100 oscillation it' s amplitude becomes 1 / 3 rd of its initial value so after n (100) oscillation it becomes A = \frac{A_{o}}{3^{n}}$

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