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After 100 complete oscillations, a pendu...

After 100 complete oscillations, a pendulum's amplitude becomes `1/3rd` of its initial value. What will be its amplitude after 200 complete oscillations? Express it as a fraction of the initial amplitude.

Text Solution

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The pendulum has a damped vibration. So, the amplitude decreases at the same rate. Since, after 100 complete oscillations the amplitude of vibration becomes `1/3rd` of the initial amplitude, after 200 complete oscillation, the amplitude will be `1/3xx1/3=1/9th` of the initial amplitude.
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