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Question

A planet moves around the sun. At a given point P, it is closest from the sun at a distance d1 and has a speed v1. At another point Q, when it is farthest from the sun at a distance d2, its speed will be

A
d2v1d1
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B
d1v1d2
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C
d22v1d21
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D
d21v1d22
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Solution

The correct option is B d1v1d2
As we know from Kepler's law of planter motion, angular momentum of the planet about sun remains constant.
mv1d1=mv2d2
v2=d1v1d2
Hence, final answer is (c).

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