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A plenet moving along an elliptical orbi...

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

A

`(r_1 // r_2)^2`

B

`r_2//r_1`

C

`(r_2//r_1)^2`

D

`r_1//r_2`

Text Solution

Verified by Experts

The correct Answer is:
B
According to the law of conservation of angular momentum `L_1 = L_2`
`mv_1 r_1 = mv_2 r_2 rArr v_1 r_1 = v_2r_2 therefore v_1/v_2 = r_2/r_1`
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