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Questions  

The amplitude of a damped oscillator becomes 127 th  of its initial value after 6 minutes. Its amplitude after 2 minutes is

a
A03
b
A09
c
A054
d
A081

detailed solution

Correct option is A

For damped oscillator A=A0e-bt Here A027=A0e-6b,A2=A0e-2b=A0e-6b13

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In damped oscillations, damping force is directly proportional to speed of oscillator. If amplitude becomes half of its maximum value in 1 s, then after 2 s amplitude will be (Ao-initial amplitude)


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