A planet of mass m moves around the sun in an elliptical orbit. The maximum and minimum distance of the planet from the sun is `r_(1) and r_(2)`. The time period is proportional to:

Options

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

Answer

C

Explanation

Here `T^(2)prop ("length of major axis")^(3)`
`=((r_(1)+r_(2))/(2))^(3) or T prop (r_(1)+r_(2))^(3//2)`.
Correct choice is (c ).