A light planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the force of attraction between planet and star is proportional to R-3/2 then choose the correct option :
- T2 R7/2
- T2 R3
- T2 R5/2
- T2 R3/2
Answer
(3) T2 R5/2
Solution
Attraction provides the centripetal force:
m 2R R-3/2 2 R-5/2
= 2 T ⇒ T2 1 2
T2 R5/2
Answer: (3)