The total energy of a particle, executing simple harmonic motion is

Question

The total energy of a particle, executing simple harmonic motion is (A)  propto x  (B)  propto x2  (C) independent of x  (D)  propto x1/2

Tardigrade Admin · Accepted Answer

In simple harmonic motion when a particle is displaced to a position from its mean position, then its kinetic energy gets converted into potential energy. Hence, total energy of a particle remains constant or the total energy in simple harmonic motion does not depend on displacement x . where x is the displacement from the mean position.

Q. The total energy of a particle, executing simple harmonic motion is

$\propto x$

$\propto x^{2}$

independent of $x$

$\propto x^{1/2}$

Q. The total energy of a particle, executing simple harmonic motion is

∝x

∝x2

independent of x

∝x1/2

$\propto x$

$\propto x^{2}$

independent of $x$

$\propto x^{1/2}$