Values of the acceleration `A` of a particle moving in simple harmonic motion as a function of its displacement `x` are given in the table below.
`|{:(A(mm s^(-2)),16,8,0,-8,-16),(x(mm),-4,-2,0,2,4):}|`
The pariod of the motion is

Options

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

Answer

D

Explanation

`[A] = omega^(2)x rArr ([A])/(x) = omega^(2)`
From the given value `([A])/(x) = omega^(2) = 4 rArr omega = 2`.
Also `omega^(2) = (2pi)/(T) rArr 2 = (2pi)/(T) rArr T = pi sec`