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) therefore v_(2)=(d_(1)v_(1))/(d_(2))`