GravitationHard
Question
A double star is a system of two stars of masses m and 2m, rotating about their centre of mass only under their mutual gravitational attraction. If is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to :
Options
A.r3/2
B.r
C.m1/2
D.m-1/2
Solution
Motion of m
mω2
T = 
∴ T ∝ r3/2 and T ∝ m-1/2
mω2
T = ∴ T ∝ r3/2 and T ∝ m-1/2
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