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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

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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 points is :

(1) 1 : 2

(2) 1 : 6

(3) 3 : 4

(4) 1 : 3

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(2) 1 : 6

Explanation:

From angular momentum conservation

mv1r1 = mv2r2

r1/r2 = v1/v2 = 1/6

This post was modified 4 years ago 2 times by nikhil04
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