A planet moves around the sun . At a given point P, it is closed to the sun at a distance `d_(1) ` and has a speed `v_(1)` . At another point Q, when it is farthest from the sun at a distance `d_(2)` its speed will be

Options

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

Answer

C

Explanation

According to law of conservation of angular momentum
`mv_(1) d_(1) = mv_(2) d_(2) :. v_(2) =(d_(1) v_(r))/(d_(2))`