Two simple harmonic motions of angular frequencies 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum acceleration is………….

Options

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

Answer

B

Explanation

The magnitude of the maximum acceleration is given by
`a_(max)=omega^(2)Aimplies((a_(max))_(1))/((a_(max))_(2))=(omega_(1)^(2))/(omega_(2)^(2))=((100)/(1000))^(2)=(1)/(10^(2))`