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Two planets A and B of equal mass are ha...

Two planets A and B of equal mass are having: their period of revolutions `T_A` and `T_B` such that `T_A = 2T_B`. These. planets are revolving: . in the circular orbits of radii `r_A` and `r_B` respectively . Which out of the following would be the ,correct relationship of their orbits?

A

`2r_A^2=r_B^3`

B

`r_A^3=2r_B^3`

C

`r_A^3=4r_B^3`

D

`T_A^2-T_B^2=(pi^2)/(GM)(r_b^3-4r_A^3)`

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