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

Answer

D

Explanation

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