If `x, v` and a denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period `T`, then, which of the following does not change with time ?

Options

A. `aT//x`
B. `aT+2pi v`
C. `aT//v`
D. `a^(2)T^(2)+4pi^(2)v^(2)`

Answer

A

Explanation

For an SHM, the acceleration `a=-omega^(2)x` where `omega^(2)` is a constant. Therefore, `(a)/(x)` is a constant. The time period T is also constant. Therefore, `(aT)/(x)` is a constant.