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The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minutes will be \(\frac{1}{x}\)time the original, where x is ………

(a) 2 × 3 

(b) 23 

(c) 32 

(d) 3 × 22

1 Answer

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(b) 23

The amplitude decreases exponentially with time and becomes half in 1 minute.

Amplitude after 3 minutes = \((\frac{1}{2})^3\) of the original value. Thus, x = 23

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