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
The magnitude of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass ...An astronaut, inside an earth satellite experiences weightlessness because:...In a certain region of space, the gravitational field is given by - , where r is the distance and k is a constant. If th...A satellite is moving with a constant speed ′V′ in a circular orbit about the earth. An object of mass ̸...Two bodies of masses m and M are placed at distance d apart. The gravitational potential (V) at the position where the g...