1.

In planetary motion the areal velocity of position vector of a planet depends on angular velocity\[(\omega )\] and the distance of the planet from 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. \[\frac{dA}{dt}\propto \sqrt{\omega r}\]
Answer» D. \[\frac{dA}{dt}\propto \sqrt{\omega r}\]


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