question_answer

In planetary motion the areal velocity of position vector of a planet depends on angular velocity (\[\omega \]) and distance of the planet from the sun (r). If so the correct relation for areal velocity is

A) \[\frac{dA}{dt}\propto \,\omega r\]                      

B) \[\frac{da}{dt}\propto {{\omega }^{2}}r\]

C) \[\frac{da}{dt}\propto \omega {{r}^{2}}\]                           

D) \[\frac{da}{dt}\propto \sqrt{\omega r}\]