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The amplitude of damped oscillator decr...

The amplitude of damped oscillator decreased to `0.9` times its original magnitude is `5s`. In another `10s` it will decrease to `alpha` times its original magnitude, where `alpha` equals.

A

0.729

B

0.6

C

0.7

D

0.81

Text Solution

Verified by Experts

The correct Answer is:
A
`(0.9)=e^(-5lambda)`
`alpha =e^(-15lambda)=(e^(-5lambda))^(3)=(0.9)^(3)`
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