The periodic time of a particle doing simple harmonic motion is 4 second . The time taken by it to go from its mean position to half the maximum displacement (amplitude) is

Options

A. `2s`
B. 1s
C. `(2)/(3)s`
D. `(1)/(3)s`

Answer

D

Explanation

`y=A sin""((2pi)/(T))t `
`implies (A)/(2) =A sin""((2pi)/(4))t`
`implies (pit)/(2)=(pi)/(6)`
`implies t=(1)/(3) s `