For a body executing S.H.M. : (a) Potential energy is always equal to its K . E . (b) Average potential and kinetic energy over any given time interval are always equal. (c) Sum of the kinetic and potential energy at any point of time is constant. (d) Average K . E . in one time period is equal to average potential energy in one time period. Choose the most appropriate option from the options given below :

Step-by-step solution

The formula of kinetic energy in S.H.M. is, K . E . = 1 2 m ω 2 A 2 - x 2 2 , where A is the amplitude of the S.H.M. the formula of potential energy is, P . E . = 1 2 m ω 2 x 2 , so the net energy is defined as, T . E . = P . E . + K . E . = 1 2 m ω 2 A 2 so the total energy is always constant. Since, energy changes from potential to kinetic and vice-versa the average K . E . in one time period is equal to the average P . E . in one time period.