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

2×3

23

32

3×22

A

23

B

32

C

3×22

D

2×3

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Solution

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

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