A planet of mass `m` moves around the Sun of mass Min an elliptical orbit. The maximum and minimum distance of the planet from the Sun are `r_(1)` and `r_(2)`, respectively. Find the relation between the time period of the planet in terms of `r_(1)` and `r_(2)`.

Options

A. `r_(1)^(2//5)`
B. `(r_(1) + r_(2))^(3//2)`
C. `(r_(1) - r_(2))^(3//2)`
D. `r^(3//2)`

Answer

B

Explanation

`T^(2) alpha r^(3)`, where r = mean radius `= (r_(1)+r_(2))/(2)`