Two particles of equal masses are revolving in circular paths of radii ${r_1}$ and ${r_2}$ respectively with the same speed. The ratio of their centripetal forces is
$\frac{{{r_2}}}{{{r_1}}}$
$\sqrt {\frac{{{r_2}}}{{{r_1}}}} $
${\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^2}$
${\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^2}$
Two particles of equal masses are revolving in circular paths of radii ${r_1}$ and ${r_2}$ respectively with the same speed. The ratio of their centripetal forces is
$F = \frac{{m{v^2}}}{r}.$ If $m$ and $v$ are constants then
$F \propto \frac{1}{r}$
$\frac{{{F_1}}}{{{F_2}}} = \left( {\frac{{{r_2}}}{{{r_1}}}} \right)$