Home
Class 11
PHYSICS
Two stars of masses m1 and m2 distance r...

Two stars of masses `m_1` and `m_2` distance r apart revolve about their centre of mass. The period of revolution is

A

`sqrt((Gm_(1))/d^(3))`

B

`sqrt((Gm_(2))/d^(3))`

C

`sqrt((G(m_(1)+ m_(2)))/d^(3))`

D

`sqrt(d^(3)/(G(m_(1) + m_(2))))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Two bodies of masses m_1 and m_2(

There are two masses m_1 and m_2 placed at a distance l apart. Let the centre of mass of this system is at a point named C. If m_1 is displaced by l_1 towards C and m_2 is displaced by l_2 away from C. Find the distance, from C where new centre of mass will be located.

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 r is the separation between these two stars then their time period of rotation about their centre of mass will be proportional to

A system consists of two stars of equal masses that revolve in a circular orbit about their centre of mass . Orbital speed of each star is v and period is T . Find the mass M of each star . (G is gravitational constant )

Two satellite of mass m and 9 m are orbiting a planet in orbits of radius R . Their periods of revolution will be in the ratio of

Two stars of mass M_(1) & M_(2) are in circular orbits around their centre of mass The star of mass M_(1) has an orbit of radius R_(1) the star of mass M_(2) has an orbit of radius R_(2) (assume that their centre of mass is not acceleration and distance between starts is fixed) (a) Show that the ratio of orbital radii of the two stars equals the reciprocal of the ratio of their masses, that is R_(1)//R_(2) = M_(2)//M_(1) (b) Explain why the two stars have the same orbital period and show that the period T=2pi((R_(1)+R_(2))^(3//2))/(sqrt(G(M_(1)+M_(2)))) .

For the double star system, the two stars having masses m_(1) and m_(2) are separated b a distance r . They are revolving about their common centre of mass in radii r_(1) and r_(2) respectively. Which of the following is/are incorrect.?

In a double star system one of mass m_(1) and another of mass m_(2) with a separation d rotate about their common centre of mass. Then rate of sweeps of area of star of mass m_(1) to star of mass m_(2) about their common centre of mass is

Two satellites of masses M and 16 M are orbiting a planet in a circular orbitl of radius R. Their time periods of revolution will be in the ratio of

In a certain binary star system, each star has the same mass as our sun. They revolve about their centre of mass. The distance between them is the same as the distance between earth and the sun. What is their period of revolution in years ?