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 periods of star $A$ and star $B$,respectively,then -

• A
  $T_{A} = T_{B}$
• B
  $T_{A} > T_{B}$ (if $m_{A} > m_{B}$)
• C
  $T_{A} > T_{B}$ (if $r_{A} > r_{B}$)
• D
  $\frac{T_{A}}{T_{B}} = \left(\frac{r_{A}}{r_{B}}\right)^{3/2}$