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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a
14A0
b
12A0
c
A0
d
3A02
answer is A.
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Detailed Solution
A=A0e−btAmplitude becomes half hence A02A0e−bt[t=1]∴e−b=12 ∴In two secondsA=A0122;A=A04