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

Options

A. `1:10^(3)`
B. `1:10^(4)`
C. `1:10`
D. `1:10^(2)`

Answer

D

Explanation

Maximum acceleration `a=omega^(2)A`
`(a_(1))/(a_(2))=(omega_(1)^(2)A)/(omega_(2)^(2)A)=((100)^(2))/((1000)^(2))=(1)/(10^(2))`