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JEE MAIN 2021
20-07-21 S2
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:
Select the correct option:
A
$\frac{T_A}{T_B}=\left(\frac{r_A}{r_B}\right)^{\frac{3}{2}}$
B
$T_A=T_B$
C
$T_A>T_B\left(\right.$ if $\left.m_A>m_B\right)$
D
$T_A>T_B\left(\right.$ if $\left.r_A>r_B\right)$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Tₐ = Tᵦ (since ωₐ = ωᵦ)
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