IIT-JEE 2006 | Gravitation Question 24 | Physics

IIT-JEE 2006

MCQ (Single Correct Answer)

+3

-1

A system of binary stars of masses $m_{\mathrm{A}}$ and $m_{\mathrm{B}}$ are moving in circular orbits of radii $r_{\mathrm{A}}$ and $r_R$, respectively. If $\mathrm{T}_A$ and $\mathrm{T}_B$ are the time periods of masses $m_A$ and $m_B$ respectively, then

A

$\frac{\mathrm{T}_{\mathrm{A}}}{\mathrm{T}_{\mathrm{B}}}=\left(\frac{r_{\mathrm{A}}}{r_{\mathrm{B}}}\right)^{\frac{3}{2}}$

B

$\mathrm{T}_{\mathrm{A}}>\mathrm{T}_{\mathrm{B}}$ if $\left(r_{\mathrm{A}}>r_{\mathrm{B}}\right)$

C

$\mathrm{T}_{\mathrm{A}}>\mathrm{T}_{\mathrm{B}}$ if $\left(m_{\mathrm{A}}>m_{\mathrm{B}}\right)$

D

$\mathrm{T}_{\mathrm{A}}=\mathrm{T}_{\mathrm{B}}$