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

Answer

B

Explanation

Acceleration of simple harmonic motion is `a_(max)=-omega^(2)A`
or `((a_(max))_(1))/((a_(max))_(2))=(omega_(1)^(2))/(omega_(2)^(2))" "("as A remains same")`
or `((a_(max))_(1))/((a_(max))_(2))=((100)^(2))/((1000)^(2))=((1)/(10))^(2)=1:10^(2)`