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Two planets \( A \) and \( B \) of equal mass are having their period of revolutions \( T_{A} \) and \( T_{B} \) such that \( T_{A}=2 T_{B} \). 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) \( 2 r_{A}^{2}=r_{B}^{2} \)
(b) \( r_{A}^{3}=2 r_{B}^{3} \)
(c) \( r_{A}^{3}=4 r_{B}^{3} \)
(d) \( T_{A}^{2}-T_{B}^{2}=\frac{\pi^{2}}{G M}\left(r_{B}^{3}-4 r_{A}^{3}\right) \)
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