Q. 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 $M_{A}\ and\ M_{B}.$ Choose the correct option.
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) $T_{A} = \ T_{B}$
Explanation
(d) In case of binary star system angular velocity and hence the time period of both the stars are equal.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.