Q. 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) $4f$
Explanation
(c) Kinetic energy $K = \frac{1}{2}mv^{2} = \frac{1}{2}ma^{2}\omega^{2}\cos^{2}{\omega t}$
$= \frac{1}{2}m\omega^{2}a^{2}(1 + \cos{2\omega t})$ hence kinetic energy varies periodically with double the frequency of S.H.M. $i.e.,\ 2\omega$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.