A planet revolving round the sun. Its distance from the sun at apogge is `r_(A)` and that at perigee is `r_(P)`. The masses of planet and sun are 'm' and M respectively, `v_(A)` is the velocity of planet at apogee and `v_(P)` is at perigee respectively and T is the time period of revolution of planet round the sun, then identify the worn answer.

Options

A. `T^(2) = (pi^(2))/(2GM)(r_(A) + r_(P))^(3)`
B. `T^(2) = (pi^(2))/(2GM)(r_(A) + r_(P))^(2)`
C. `v_(A)r_(A) = v_(P)r_(P)`
D. `v_(A) lt v_(P) , r_(A) gt r_(P)`

Answer

B