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The amplitude of a damped oscillator bec...

The amplitude of a damped oscillator becomes half in one minutes. The amplitude after 3 minutes will be 1/x times of the original . Determine the value of x.

A

`6`

B

`2^3`

C

`3^2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
B
`a=a_0e^(-bt)`
`a_0/2=a_0e^(-bxx1)impliese^(-b)=1/2`
`a^'=a_0e^(-bxx3)=a_0(e^(-b))^3=a_0(1//2)^3=a_0/8=a_0/x`
`x=8=2^3`
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