Question

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

• A. f/2
• B. f
• C. 2f
• D. 4f

Answer 1

The correct option is C 2f

Kinetic energy $K=\frac{1}{2}m{v}^2=\frac{1}{2}m{a}^2{\omega }^{2}co{s}^2\omega t=\frac{1}{2}m{\omega }^2{a}^2(1+cos2\omega t)$.