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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 α times its original magnitude, where α equals to .

A

`0.7`

B

`0.81`

C

`0.729`

D

`0.6`

Text Solution

Verified by Experts

The correct Answer is:
C
`A = A_(0)e^(-(b(5))/(2m))`
after `5` second
`0.9A_(0) = A_(0)ɵ^(-(b(5))/(2m)) …..(i)`
After `10` more second
`A = A_(0)ɵ^(-(b(5))/(2m)) ….. (ii)`
From `(i)` and `(ii)`
`A = 0.729 A_(0)`
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