A particle moves such that its acceleration is given by `a =- beta (x-2)` Here `beta` is positive constant and `x` is the position form origin. Time period of oscillation is

Options

A. `2 pi sqrt(beta)`
B. `2 pi (1)/(sqrt(beta))`
C. `2 pi sqrt(beta + 2)`
D. `2pi sqrt((1)/(beta + 2))`

Answer

B

Explanation

`a = - beta (x - 2)`
`rArr x = 2` is mean position
`omega^(2) = beta rArr T = (2pi)/(sqrt(beta))`