1.

The mass of a planet that has a moon whose time period and orbital radius are T and R respectively can be written as                                 [AMU 1995]

A.             \[4{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\]
B.               \[8{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\]
C.             \[12{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\]
D.               \[16{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\]
Answer» B.               \[8{{\pi }^{2}}{{R}^{3}}{{G}^{-1}}{{T}^{-2}}\]


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