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The amplitude of a damped oscillator dec...

The amplitude of a damped oscillator decreases to `0/9` times ist oringinal magnitude in `5s`, In anothet `10s` it will decrease to a times its original magnitude, wherea eqcrease .

A

`0.7`

B

`0.81`

C

`0.729`

D

`0.6`

Text Solution

Verified by Experts

The correct Answer is:
C
`A(t)=A_(0)e^(-b//2m)`
`A(5)=0.9A_(0)`
`0.9A_(0)=A_(0)e^(-b(5)//2m)`
`A(15)=alphaA_(0)`
`alphaA_(0)=A_(0)e^(-b(15)//2m)`
`impliesalpha=(0.9)^(3)=0.729`
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