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A body is moving in a circular path with...

A body is moving in a circular path with acceleration a. If its speed gets doubled, find the ratio of centripetal acceleration after and before the speed is changed

A

`1 :4`

B

`1/4:1`

C

`2:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
D
Centripetal acceleration ` a= (v^2)/( r ) i.e., a prop v^2 `
` therefore (a_2)/(a_1)= (v_(2)^(2))/( v_(1)^(2)) = ((2v)^2)/((v)^2) =4`
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