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 ∝ r3/2 and T ∝ m-1/2
Create a free account to view solution
View Solution FreeMore Gravitation Questions
The condition for a uniform spherical mass m of radius r to be a black hole is :[G =gravitational constant and g = accel...Three identical point masses, each of mass 1 kg lie in the x-y plane at points (0, 0) (0, 0.2m) and (0.2m,0). The gravit...Match the chemical conversions in List-I with the appropritate reagents in List-II and select the correct answer using t...If the law of gravitation be such that the force of attraction between two particles vary inversely as the 5/2th power o...The velocity with which a projectile must be fired sothat it escapes earth′s gravitation does not depend on:...