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A planet moving along an elliptical orbi...

A planet moving along an elliptical orbit is closest to the Sun at distance `r_(1)` and farthest away at a distance of `r_(2)`. If `v_(1)` and `v_(2)` are linear speeds at these points respectively. Then the ratio `(v_1)/(v_2)` is

A

`(r_(2))/(r_(1))`

B

`((r_(2))/(r_(1)))^(2)`

C

`(r_(1))/(r_(2))`

D

`((r_(1))/(r_(2)))^(2)`

Text Solution

Verified by Experts

According to the Law of conservation of angular momentum
`mv_(1)r_(1)=mv_(2)r_(2), v_(1)r_(1)=v_(2)r_(2)`
`(v_(1))/(r_(2)) = ((r_(2))/r_(1))`
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