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Q.

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

3A02

d

A0

answer is A.

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Detailed Solution

A=A0e−bt
Amplitude becomes half hence A02A0e−bt[t=1]
∴e−b=12  ∴In two seconds
A=A0122;A=A04

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