A small planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the stae were proprtional to `R^(-5//2)`, then T would be proportional to

Options

A. `R^(3//2)`
B. `R^(3//5)`
C. `R^(7//2)`
D. `R^(7//4)`

Answer

d

Explanation

`T^(2) prop R^(1+n) prop R^(1+5//2)`
`T^(2) prop R^(7//2)" "therefore R=R^(7//4)`.