JEE Mains · Physics · STD 11 - 7. gravitation
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 \(T_{A}=T_{B}\)
- B \(T_{A}\,>\,T_{B}\) (if \(\left.m_{A}\,>\,m_{B}\right)\)
- C \({T}_{{A}}\,>\,{T}_{{B}}\) (if \(\left.{r}_{{A}}\,>\,{r}_{{B}}\right)\)
- D \(\frac{T_{A}}{T_{B}}=\left(\frac{r_{A}}{r_{B}}\right)^{3 / 2}\)
Answer & Solution
Correct Answer
(A) \(T_{A}=T_{B}\)
Step-by-step Solution
Detailed explanation
\({T}_{{A}}={T}_{{B}}\left(\text { Since } \omega_{{A}}=\omega_{{B}}\right)\)
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