A planet is revolving around the Sun in an elliptical orbit. Its closest distance from the Sun is `r` and farthest distance is `R`. If the orbital velocity of the planet closest to the Sun is `v`, then what is the velocity at the farthest point?

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 coservation of angular momentum `mv_(1)d_(1)=mv_(2)d_(2)`
`mv_(1)d_(1)=mv_(2)d_(2)`
`:. v_(2)=(d_(1)v_(1))/(d_(2))`