A particle move in S.H.M. such that its acceleration is a =- px , where ' x ' is the displacement of particle from equilibrium position and ' p ' is a constant. The period of oscillation is

Step-by-step solution

For SHM the acceleration a is proportional to the displacement x and it is directed towards the mean position of the particle: a =- ^2 x =- px where, is the angular frequency of the SHM. On comparison, = p Thus, the period of oscillation can be written as, T= 2 = 2 p