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_("max"))/(r_("min"))`
B. `(r_("min"))/(r_("max"))`
C. `(r_("min")+r_("max"))/(r_("max")-r_("min"))`
D. none of these

Answer

A

Explanation

Conserving angular momentum
`mv_(1)v_("min")=mv_(2)r_("max")` or `(v_(1))/(v_(2))=r_("max")/r_("min")`