The total energy of a particle, executing simple harmonic motion is.
where x is the displacement from the mean position, hence total energy is independent of x.

Options

A. (a) independent of x.
B. (b) `propx^(2)`
C. (c ) prop x`
D. (d) propx^(1//2)`

Answer

A

Explanation

(a) At any instant the total energy is
`1/2kA^(2)=constant, where `A=amplitude
hence total energy is independent ofx.