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If the Moon were twice as massive as it is now, and it has stayed in the same orbital radius about the Earth as it has now, its new orbital period (in terms of its current orbital period T ) would be, A) T (B) 2T (C) T/2 (D) T/4

aritra nandy , 15 Years ago
Grade 10
anser 1 Answers
vikas askiitian expert

orbital velocity = V =(GM/R)1/2

 finally mass is doubled so  orbital velocity becomes V1 = (2GM/R)1/2

T = 2piR/V              ( V is orbital velocity & R is orbital radius , T is time period)

T1/T = V/V1

 T1 = T/sqrt2

Last Activity: 15 Years ago
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