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Equation of motion for a particle perfor...

Equation of motion for a particle performing damped harmonic oscillation is given as `x=e^(-0.1t) cos(10pit+phi)`. The time when amplitude will half of the initial is :

A

27 s

B

4 s

C

13 s

D

7s

Text Solution

Verified by Experts

The correct Answer is:
D
According to equation,
`e^(-0.1t)=1/2` (drop to half of its initial value)
`rArr 0.1 xx t = ln 2 = 0.693 rArr t=6.93 sec = 7 sec`
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