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A system of binary stars of mass m(A) an...

A system of binary stars of mass `m_(A)` and `m_(B)` are moving in circular orbits of radii `r_(A)` and `r_(B)` respectively. If `T_(A)` and `T_(B)` are at the time periods of masses `m_(A)` and `m_(B)` respectively then

A

`T_A/T_B =(R_A/R_B)^(1//2)`

B

`T_A gt T_B ( " if " R_A gt R_B)`

C

`T_A gt T_B (" if " M_A gt M_B)`

D

`T_A = T_B`

Text Solution

Verified by Experts

The correct Answer is:
D
In case of binary star system both the stars rotate with same angular velocity o about their centre of mass in their respective orbits.
`therefore omega = (2pi)/(T_A) = (2pi)/(T_B) " or " T_A = T_B`
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