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In harmonic oscillator, amplitude falls exponentially. After 100 oscillations amplitude falls to 1/3 times. After 200 oscillations amplitude falls to:

1. 1/9 times
2. 1/√8 times
3. 1/√2 times
4. 1/√3 times

Correct answer: 1/9 times

Solution

The amplitude of a damped harmonic oscillator decreases exponentially with time. If the amplitude falls to 1/3 after 100 oscillations, after 200 oscillations (double the time), it will fall to (1/3)^2 = 1/9 times.

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