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

Answer

B

Explanation

Planets are revolving around the sun along elliptical paths.
L = mvr = constant
`m_(1)v_(1)r_(1) = m_(1)v_(2)r_(2) " "[because m_(1) = m_(2) = m]`
`(v_(1))/(v_(2)) = ((r_(2))/(r_(1)))`