Test Academy | 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 (dA/dt) ∝ ωr, (dA/dt) ∝ ω²r, (dA/dt) ∝ ωr², (dA/dt) ∝ √(ωr)

Question

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

Options :

(dA/dt) ∝ ωr
(dA/dt) ∝ ω²r
(dA/dt) ∝ ωr²
(dA/dt) ∝ √(ωr)

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