The relation between acceleration and displacement of four partical are given below
Which, one of the particle is exempting simple harmonic motion ?

Options

A. `a_(x)=+2x`
B. `a_(x)=+2x^(2)`
C. `a_(x)=-2x^(2)`
D. `a_(x)=-2x`

Answer

D

Explanation

For motion to be be SHM acceleration of the particale must be proportional to negative of displacement.
i.e., `aprop-(y" or "x)`
We should be clear that y has to be linear.