Two simple harmonic motion of angular frequency `100and 1000 rads^(-1)` have the same displacement amplitude The ratio of their maximum acceleration is

Options

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

Answer

A

Explanation

`omega_(1) = 100 rad//s, omega_(2) = 1000 rad//s`
Both have same displacement amplitude
`a_(1) =a`
`a_(2) = a`
`(A_(1))/(A_(2)) = (a_(1)omega_(1)^(2)) /(a_(2)omega_(2)^(2)) = ((100)/(1000))^(2) = (1)/(100)`
`A_(1) : A_(2) = 1 : 10^(2)`