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
A
dAdt∝ωr
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B
dAdt∝ω2r
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C
dAdt∝ωr2
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D
dAdt∝√ωr
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Solution
The correct option is CdAdt∝ωr2 dAdt=L2m=dAdt∝vr∝ωr2