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Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to R -5/2 (a) T 2 is proportional to R 3 (b) T 2 is proportional to R 7/2 (c) T 2 is proportional to R 3/2 (d) T 2 is proportional to R 3/73

Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force of attraction between the planet and the star is proportional to R-5/2
(a) T2 is proportional to R3
(b) T2 is proportional to R7/2
(c) T2 is proportional to R3/2
(d) T2 is proportional to R3/73

Grade:6

1 Answers

Deepak Patra
askIITians Faculty 471 Points
6 years ago

(b) KEY CONCEPT : The centripetal force is provided by the gravitational force of attraction

mR?2 = GMmR-5/2

? mR x 4p2 / T2 = GMm /R5/2 ? T2 ? R7/2

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