Gravitation Question 368

Question: A system consists of two stars of equal masses that revolve in a circular orbit about a centre of mass midway between them. Orbital speed of each star is v and period is T. Find the mass M of each star (G is gravitational constant)

Options:

A) [2Gv3πT]

B) [v3TπG]

C) [v3T2πG]

D) [2Tv3πG]

Show Answer

Answer:

Correct Answer: D

Solution:

  • [Mv2R=GM24R2⇒M=4Rv2G]

    [v=2πRT,,,,,,,,,,,,R=vT2π,,,M=v3T2πG]

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