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Question

# A planet is revolving around the sun in an elliptical orbit. its closets distance from the sun is rmin. The farthest distance from the sun is rmax. If the orbital angular velocity of the planet when it is nearest to the sun is ω, then the orbital angular velocity at the point when it is at the farthest distance from the sun is

A
(rmin/rmax)ω
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B
(rmax/rmin)ω
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C
(rmax2/rmin2)ω
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D
(rmin2/rmax2)ω
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Solution

## The correct option is D (rmin2/rmax2)ωv1r1=v2r2 or r21ω1=r22ω2(∵L=mrv=constant)or rmin2ω=rmax2ω′∴ω′=(r2min/r2max)ω

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