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Q.

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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Conservation of Angular Momentum,  mvr1=mv6r2r1r2=16
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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 point is :