Two bodies of equal masses revolve in circular orbits of radii ${R_1}$ and ${R_2}$ with the same period. Their centripetal forces are in the ratio
${\left( {\frac{{{R_2}}}{{{R_1}}}} \right)^2}$
$\frac{{{R_1}}}{{{R_2}}}$
${\left( {\frac{{{R_1}}}{{{R_2}}}} \right)^2}$
$\sqrt {{R_1}{R_2}} $
Two bodies of equal masses revolve in circular orbits of radii ${R_1}$ and ${R_2}$ with the same period. Their centripetal forces are in the ratio
$F = m\left( {\frac{{4{\pi ^2}}}{{{T^2}}}} \right)R$. If masses and time periods are same then $F \propto R$
$\therefore {F_1}/{F_2} = {R_1}/{R_2}$