In planetary motion the areal velocity of position 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)propvrrArr(dA)/(dt)propomegar^2`