A simple harmonic oscillation has an amplitude `A` and time period `T`. The time required to travel from `x = A` to ` x= (A)/(2)` is

Options

A. `T//6`
B. `T//4`
C. `T//3`
D. `T//2`

Answer

B

Explanation

Since time is counted from extreme position, so the displacement of the particle at any time t is `x=Acosomegat`.
When `x=(A)/(2)`.
`((A)/(2))=Acosomegat or omegat=cos^(-1)((1)/(2))or(2pi)/(T)t=(pi)/(3) or t=(T)/(6)`