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 omega r^(2)`
D. `(dA)/(dt) prop sqrt(omega r)`

Answer

C

Explanation

`(dA)/(dt) = (L)/(2m) rArr (dA)/(dt) prop vr prop omega r^(2)`