Gravitation Question 297
Question: 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
Options:
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}] $
Show Answer
Answer:
Correct Answer: C
Solution:
- $ [\frac{dA}{dt}=\frac{L}{2m}\Rightarrow \frac{dA}{dt}\propto vr\propto \omega r^{2}] $
