A particle executes simple harmonic motion with a frequency. (f). The frequency with which its kinetic energy oscillates is.

Options

A. `f2`
B. `f`
C. `2f`
D. `4f`

Answer

C

Explanation

kinetic energy `K = (1)/(2)mv^(2) = (1)/(2) ma^(2) omega^(2) cos^(2) omega t = (1)/(2)m omega^(2)a^(2)(1 + cos 2 omega t)` Hence kinetic energy varies periodically with doubled the frequency of `S.H.M` i.e.`2f`