In planetary motion the areal velocity of position vector of a planet depends on angular velocity (ω) and the distance of the planet from sun (r). If so the correct relation for areal velocity is

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dAdt∝ωr

dAdt∝ω2r

dAdt∝ωr2

dAdt∝ωr

answer is C.

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Detailed Solution

dAdt=L2m=mr2ω2m=r2ω2⇒dAdt∝ωr2

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