Consider an attractive force which is central but is inversely proportional to the first power of distance. If such a particle is in circular orbit, under such a force, which of the following statements are correct?
Answer & explanation
Correct answer: option 4
$F=\frac{k}{r}=\frac{m v^2}{r}$
$\Rightarrow v=\sqrt{\frac{k}{m}}$ = constant, v is independent of radius.
T = $\frac{2 \pi r}{v}$ ⇒ T ∝ r
T is directly proportional to the radius.