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Question

# The amplitude of a damped oscillator becomes half on one minute. The amplitude after 3 minute will be 1X times the original, where X is2×323323×22

A
23
B
32
C
3×22
D
2×3
Solution
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#### Amplitude of damped oscillatorA=A0e−λt;λ=constant,t=timeFor 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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