Which of the following is correct about a `SHM`, along a straight line?

Options

A. Ratio of acceleration to velocity is constant.
B. Ratio of acceleration to potential energy is constant.
C. Ratio of acceleration to displacement from the mean position is constant.
D. Ratio of acceleration to kinetic energy is constant.

Answer

C

Explanation

`V = +- omegasqrt(A^(2) - x^(2)) , PE = (1)/(2) kx^(2)`
`a = - omega^(2) x`
`KE = (1)/(2) m omega^(2) (A^(2) - x^(2)) = (1)/(2) k(A^(2) - x^(2))`
Ratio of acceleration displacement ` = (- omega^(2)x)/(x) = - omega^(2)` (constant)