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

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a
4π2R3G−1T−2
b
8π2R3G−1T−2
c
12π2R3G−1T−2
d
16π2R3G−1T−2

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detailed solution

Correct option is A

mω2R=GMmR2⇒2πT2R=GMR2⇒M=4π2R3GT2

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