The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minute will be 1X times the original, where X is

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2×3

3×22

answer is B.

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Detailed Solution

Amplitude of damped oscillator A=A0e−λt; λ =constant, t = time For t =1 min. A02=A0e−λt⇒eλ=2For t = 3 min. A=A0e−λ×3=A0(eλ)3=A023⇒X=23

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