The total energy of particle, executing simple harmonic motion is

Question

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

Tardigrade Admin · Accepted Answer

In simple harmonic motion, as a particle is displaced from its mean position, its kinetic energy is converted to potential energy and vice versa and total energy remains constant. The total energy of simple harmonic motion is independent of x.

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

$\propto x$

$\propto x^{2}$

independent of $x$

$\propto x^{1/2}$

In simple harmonic motion, as a particle is displaced from its mean position, its kinetic energy is converted to potential energy and vice versa and total energy remains constant. The total energy of simple harmonic motion is independent of x.

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

∝x

∝x2

independent of x

∝x1/2

In simple harmonic motion, as a particle is displaced from its mean position, its kinetic energy is converted to potential energy and vice versa and total energy remains constant. The total energy of simple harmonic motion is independent of x.

$\propto x$

$\propto x^{2}$

independent of $x$

$\propto x^{1/2}$