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 th
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
A. `R^(3//2)`
B. `R^(3//5)`
C. `R^(7//2)`
D. `R^(7//4)`
5 views
1 Answers
Correct Answer - c
`"AS "Fprop (1)/(R^(2))" "therefore R^(2)prop (1)/(F)`
`T^(2) prop R^(3) therefore T^(2) prop R^(2)xxR therefore T^(2) prop (R)/(F)`
`therefore T^(2) prop (R)/(R^(-5//2)) therefore R^(7//2)`
5 views
Answered