question_answer

A double star system consists of two stars A and B, which have time period\[{{T}_{A}}\]and\[{{T}_{B}},\]radius\[{{R}_{A}}\]and\[{{R}_{B}}\]and mass\[{{M}_{A}}\]and\[{{M}_{B}}\]Then:

A)  if\[{{T}_{A}}>{{T}_{B}}\]then\[{{R}_{A}}>{{R}_{B}}\]

B)  if\[{{T}_{A}}>{{T}_{B}}\]then\[{{M}_{A}}>{{M}_{B}}\]

C)   \[{{\left( \frac{{{T}_{A}}}{{{T}_{B}}} \right)}^{2}}>{{\left( \frac{{{R}_{A}}}{{{R}_{B}}} \right)}^{3}}\]

D)  \[{{T}_{A}}={{T}_{B}}\]