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(D) The total energy $(E)$ of a body performing Simple Harmonic Motion $(SHM)$ is given by the sum of its kinetic energy and potential energy.For a bo

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$K, a$

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(D) The total energy $(E)$ of a body performing Simple Harmonic Motion $(SHM)$ is given by the sum of its kinetic energy and potential energy.For a body of mass $m$ undergoing $SHM$ with angular frequency $\omega$, the total energy is $E = \frac{1}{2} m \omega^2 a^2$.Since the restoring force is $F = -Kx$, we know that $K = m \omega^2$.Substituting this into the energy equation, we get $E = \frac{1}{2} K a^2$.Here, $K$ is the force constant and $a$ is the amplitude.Therefore, the total energy depends only on the force constant $K$ and the amplitude $a$.

There is a body having mass $m$ and performing $SHM$ with amplitude '$a$'. There is a restoring force $F = -Kx$, where $x$ is the displacement. The total energy of the body depends upon which of the following?

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