A body is moving in a circular path with acceleration a if its velocity gets doubled find the ratio acceleration after and before the change

Options

A. `1:4`
B. `1/4:1`
C. `2:1`
D. `4:1`

Answer

d

Explanation

Centripetal acceleration `a=(v^(2))/(r )`
Acceleration before change `=a_(1)`
Acceleration after change `=a_(2)`
`v_(1) =- v`
`v_(2) =2 v`
`(a_(2))/(a_(1)) = ((2v)^(2))/(v^(2)) = (4)/(1)`
`a_(2) : a_(1) 4:1`