A plenet moving along an elliptical orbit is closest to the sun at a distance `r_(1)` and farthest away at a distance of `r_(2)`. If `v_(1)` and `v_(2)` are the linear velocities at these points respectively, then the ratio `(v_(1))/(v_(2))` is

Options

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

Answer

C

Explanation

`mv_(1)r_(1)=mv_(2)r_(2) implies (v_(1))/(v_(2))=(r_(2))/(r_(1))`