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
Create a free account to view solution
View Solution FreeMore Gravitation Questions
Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1m, 2m, 4m, 8m, ...., respectively, from...If a satellite orbits as close to the earth′s surface as possible...A spherical planet has a mass Mp and diameter Dp. A particle of mass m falling freely near the surfaceof this planet wil...Suppose the gravitational force varies inversely as the nth power of distance. Then the time period planet in circular o...If g is the acceleration due to gravity on the earth′s surface, the gaing in the potential energy of an object mas...