Q. The total energy of a particle, executing simple harmonic motion is Where $x$ is the displacement from the mean position.
A) $\propto x$
B) $\propto x^{2}$
C) Independent of $x$
D) $\propto x^{\frac{1}{2}}$
Explanation
(c) In simple harmonic motion when a particle displaced to a position from its mean position then its kinetic energy gets converted in potential energy. Hence, total energy of particle remains constant or the total energy in simple harmonic motion does not depend is displacement $x$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.