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The moon revolves round the earth 13 times in one year. if the ratio of the sun-earth distance to the earth-moon distance is 392, then the atio of the masses of sn and earthwill be............

The moon revolves round the earth 13 times in one year. if the ratio of the sun-earth distance to the earth-moon distance is 392, then the atio of the masses of sn and earthwill be............

Grade:12

1 Answers

Arun
25750 Points
6 years ago
Dear student
T²(es) = 4 (pi)² R³(es)/G M(s)
T²(me) = 4 (pi)² R³(me)/G M(e)
[T(me)/T(es)]² = R³(me) M(s)/ R³(es) M(e)
(1/13)² = (1/392)³ M(s)/M(e)
M(s)/M(e) = 392³/13²
Regards
Arun (askIITians forum expert)

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