Two satellities `s_(1)` a & `s_(2)` of equal masses revolves in the same sense around a heavy planet in coplaner circular orbit of radii `R` & `4R`

Options

A. the ratio of period of revolution `s_(1)` and `s_(2)` 1:4
B. their velocities are in the 2:1
C. their angular momentum about the planet are in the ration 2:1
D. the ratio of angular velocities of `s_(2)` w.r.t. `s_(1)` when all three are in the same line is 4:1

Answer

B

Explanation

`T prop R^(3//2) rArr (T_(1))/(T_(2))=1/8`
`V prop R^(-1//2) rArr (v_(1))/(v_(2))=1/2`