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Grade 10General Physics

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

Profile image of aritra nandy
15 Years agoGrade 10
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1 Answer

Profile image of vikas askiitian expert
15 Years ago

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