displacement damped harmonic oscillator |SIMPLE HARMONIC

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JEE MAIN_2019

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Question

The displacement of a damped harmonic oscillator is given by $x(t)=e^{-0.1 t} \cos (10 \pi t+\phi)$. Here $t$ is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to:

Select the correct option:

A

7 s

B

27 s

C

13 s

D

4 s

✓ Correct! Well done.

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Solution

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