1
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Question

A planet revolves round the sun. Its velocity at the nearest point, distance d1 from sun, is v1. The velocity of the planet at the farther point distance d2 from sun will be

A
d21v1d22
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B
d2v1d1
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C
d1v1d2
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D
d22v1d21
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Solution

The correct option is D d1v1d2The angular momemtum of the planet is conserved i.e. L=mvr is constant at all points.Now, consider the angular momemtums of given scenarios when the planet is farthest, nearest to be Lf,La respectively. So, Lf=La.Its also given that nearest distance is d1, with velocity v1 and the farthest distance is d2. Substituting the given values we getmv2d2=mv1d1 solving this we getv2=v1d1d2

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