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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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a
dAdt∝ωr
b
dAdt∝ω2r
c
dAdt∝ωr2
d
dAdt∝ωr

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detailed solution

Correct option is C

dAdt=L2m=mr2ω2m=r2ω2⇒dAdt∝ωr2


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