AP EAMCET · PHYSICS · Gravitation
An artificial satellite of mass \(m\) is moving along an elliptical path around the earth. The areal velocity of the satellite is proportional to
- A m
- B \(m^{-1}\)
- C \(m^0\)
- D \(\mathrm{m}^{1 / 2}\)
Answer & Solution
Correct Answer
(C) \(m^0\)
Step-by-step Solution
Detailed explanation
Areal velocity, \(\frac{d A}{d t}=\) constant \[ \frac{d A}{d t}=\frac{L}{2 m} \] (where, \(L\) is angular momentum) \[ =\frac{m v r \sin \theta}{2 m}=\frac{v r \sin \theta}{2} \] This shows areal velocity does not depends on mass. So, \[ \frac{d A}{d t} \propto m^0 \]
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