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A pendulum is hung the roof of a suffici...

A pendulum is hung the roof of a sufficiently high huilding and is moving freely to and fro like a simple harmonic oscillator .The acceleration of the bob of the pendulum is `20m//s^(2)` at a distance of `5m` from the meanposition .The time period of oscillation is

A

`2pis`

B

`pis`

C

`2 s`

D

`1 s`

Text Solution

Verified by Experts

The correct Answer is:
B
Magnitude of acceleration of a particle moving in a SHM is
`|a|=omega^(2)y`, where y is amplitude.
`implies 20=omega^(2)(5)impliesomega=2" rad "s^(-1)`
`therefore` Time period of oscillation
`T=(2pi)/(omega)=(2pi)/(2)=pis`
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