Maximum acceleration of a particle in the simple harmonic motion is directly proportional to the square of angular frequency i.e. $a \propto {\omega ^2}$

$\therefore$ ${{{a_1}} \over {{a_2}}} = {{\omega _1^2} \over {\omega _2^2}} = {{{{\left( {100} \right)}^2}} \over {{{\left( {1000} \right)}^2}}} = {1 \over {100}}$

$\Rightarrow$ a₁ : a₂ = 1 : 10².