Two particles of equal masses are revolvin

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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

A

$\frac{{{r_2}}}{{{r_1}}}$

B

$\sqrt {\frac{{{r_2}}}{{{r_1}}}} $

C

${\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^2}$

D

${\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^2}$

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

$F \propto \frac{1}{r}$

   $\frac{{{F_1}}}{{{F_2}}} = \left( {\frac{{{r_2}}}{{{r_1}}}} \right)$