Two particles of identical mass are moving in circular orbits under a potential given by `V(r) = Kr^(-n)`, where K is a constant. If the radii of their orbits are `r_(1), r_(2)` and their speeds are `v_(1), v_(2)`, respectively, then

Options

A. `v_(1)^(2)r_(1)^(n)=v_(2)^(2)r_(2)^(n)`
B. `v_(1)^(2)r_(1)^(-n)=v_(2)^(2)r_(2)^(-2)`
C. `v_(1)^(2)r_(1)=v_(2)^(2)r_(2)`
D. `v_(1)^(2)r_(1)^(2-n)=v_(2)^(2)r_(2)^(2-n)`

Answer

A