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

Options

A. `2pis`
B. `pis`
C. `2s`
D. `1s`

Answer

B

Explanation

Acceleration `(a)=-omega^(2)x`
`implies|a|=omega^(2)x implies 20=omega^(2)xx5implies omega=2`
`implies (2pi)/(T)=2`
`implies T=pi` sec.