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A system of binary stars of masses mA an...

A system of binary stars of masses `m_A` and `m_B` are moving is a circular orbits of radius ` r_A` .and `r_B` respectively. If `T_A` and `T_B` are the time periods of masses `m_A` and `m_B` respectively then,

A

`T_A = T_B`

B

if ` m_A gt m_B " than " T_A gt T_B`

C

If ` r_B gt r_A` than ` T_B gt T_A`

D

`T_A/T_B = (r_A/r_B)^(3//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(Gm_A m_B)/((r_A + r_B)^2) = (m_Ar_A 4pi^2 )/(T_A^2) = (m_Br_B 4pi^2)/(T_B^2)`
`m_A = m_B r_B , T_A = T_B`
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