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

Options

A. `(dA)/(dt) prop omega r`
B. `(dA)/(dt) prop omega^(2) r`
C. `(dA)/(dt) prop omegar^(2)`
D. `(dA)/(dt)prop sqrt(omega r)`

Answer

C

Explanation

`(dA)/(dt)=L/(2m)implies(dA)/(dt)prop vr prop omegar^(2)`