The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minutes will be 1/x times the initial amplitude, where x is

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answer is B.

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Detailed Solution

At=A0e−kt where k=constant∴A02=A0e−kt ⇒e−kt =12 ⇒ e−k = 12 ∴ t = 1secAgain A0x=A0e−3k⇒1x =123⇒x=8

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