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A double star consists of two stars havi...

A double star consists of two stars having masses `M` and `2M`. The distance between their centres is equal to `r`. They revolve under their mutual gravitational interaction. Then, which of the following statements are not correct?

A

Heavier star revolves in orbit of radius `2r//3`

B

both the stars revolve with same angular speed, period of which is equal to `(2pi)/(sqrt((2GM)/3)) r^(3/2)`

C

Kinetic energy of the heavier star is twice that of the other star

D

Heavier star revolves in orbits of radius `r//3`

Text Solution

Verified by Experts

The correct Answer is:
A:B:C
`M(r-x)=2Mx, Mr-Mx=2Mx :. x=r/2`
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