Question

Consider a binary star system of star $A$ and star $B$ with masses $m_A$ and $m_B$ revolving in a circular orbit of radii $r_A$ and $r_B$, respectively. If $T_A$ and $T_B$ are the time period of star $A$ and star $B$, respectively, then:

• A. $\frac{T_A}{T_B}={\left(\frac{r_A}{r_B}\right)}^{\frac{3}{2}}$
• B. $T_A=T_B$
• C. $T_A{T}_B($ if $m_A>m_B)$
• D. $T_A>T_B($ if $r_A>r_B)$

Answer 1

Answer: (B)

$T_A=T_B$ (since ${\omega }_A={\omega }_B)$