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    [EAMCET 2003]

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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