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Question

A planet is moving along an elliptical orbit is closest to the sun at a distance r1 and farthest away at a distance r2. If v1 and v2 are the linear velocities at the points respectively, then the ratio v1/v2 is

A
(r1/r2)2
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B
(r2/r1)2
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C
r1/r2
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D
r2/r1
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Solution

The correct option is D r2/r1
By Kepler's third law, we know that.
dAdt=L2m
The angular momentum is a constant.
LA=LB
mv1r1=mv2r2
v1r1=v2r2
v1v2=r2r1

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