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Two simple harmonic motions of angular f...

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

A

`1:10^(3)`

B

`1:10^(4)`

C

`1:10`

D

`1:10^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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))`
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