A linear harmonic osciallator executes a SHM of period 4s. Which of the following quantities assoiated with the oscillator will exhibit a simple harmonic motion of period 2 second ?

Options

A. velocity
B. phase difference between acceleration and displacemnet
C. kinetic and potential energies
D. total energy

Answer

C

Explanation

The frequency of potential and kinetic energies of a particle in S.H.M. is twice the frequency of oscillation of the particle in S.H.M. Hence they have a period of `(T)/(2)`. In the present case, the period is `(4)/(2)=2s`