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
If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then t...Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represen...A particle of mass m is upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth a...A particle is projected from point A, that is at a distance 4R from the centre of the Earth, with speed v1 in a directio...The atmospheric pressure and height of barometer column is 105 Pa and 760mm respectively on the Earth surface. If the ba...