Two simple harmonic motions of angular frequency 100 and 1000 rad s^(-1) have the same displacement amplitude. The ratio of their maximum acceleration is………

Two simple harmonic motions of angular frequency 100 and 1000 rad s^(-

1.	Two simple harmonic motions of angular frequency 100 and 1000 rad s^(-1) have the same displacement amplitude. The ratio of their maximum acceleration is………
Answer» `1 : 10` `1 : 10^(2)` `1 : 10^(3)` `1 : 10^(4)` SOLUTION :In `a_("MAX")= OMEGA^(2)A`, A is equal `therefore a_("max") propto omega^(2)` `therefore ((a_("max"))_1)/((a_("max"))_2) = ((omega_1)/(omega_2))^(2)= ((100)/(1000))^(2)= (1)/(100)`.