The ratio of KE of a planet at the points `1` and `2` is :

Options

A. `((r_(1))/(r_(2)))^(2)`
B. `((r_(2))/(r_(1)))^(2)`
C. `(r_(1))/(r_(2))`
D. `(r_(2))/(r_(1))`

Answer

B

Explanation

`v_(1)r_(1)=v_(2)r_(2)`
`((KE)_(1))/((K.E.)_(2))=(1/2mv_(1)^(2))/(1/2mv_(2)^(2))=((v_(1))/(v_(2)))^(2)=((r_(2))/(r_(1)))^(2)`