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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 is
  1. 2×3
  2. 23
  3. 32
  4. 3×22

A
23
B
32
C
3×22
D
2×3
Solution
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Amplitude of damped oscillator
A=A0eλt;λ=constant,t=time
For t=1 min.A02=A0eλteλ=2
For t=3 min. A=A0eλ×3=A0(eλ)3=A023
X=23

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