Two simple Harmonic motions of angular frequency 100 and 1000 rads$^{-1}$ have the same displacement amplitude. The ratio of their maximum acceleration is :

Question

$\begin {array} {1 1} (1)\;1 : 10^4 & \quad (2)\;1 : 10 \\ (3)\;1 : 10^2 & \quad (4)\;1 : 10^3 \end {array}$