A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest point is :
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a
1 : 2
b
3 : 4
c
1 : 3
d
1 : 6
answer is D.
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Detailed Solution
Conservation of Angular Momentum, mvr1=mv6r2r1r2=16
A satellite is in an elliptical orbit around a planet P. It is observed that the velocity of the satellite when it is farthest from the planet is 6 times less than that when it is closest to the planet. The ratio of distances between the satellite and the planet at closest and farthest point is :