Two particles of equal masses are revolving in circular paths of radii $r_{1} a n d r_{2}$ respectively with the same speed. The ratio of their centripetal forces is

$\frac{r_{2}}{r_{1}}$

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$\sqrt{\frac{r_{2}}{r_{1}}}$

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${(\frac{r_{1}}{r_{2}})}^{2}$

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${(\frac{r_{2}}{r_{1}})}^{2}$

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Solution

The correct option is A
$\frac{r_{2}}{r_{1}}$

$F = \frac{m v^{2}}{r}$ . If m and v are constants then $F \propto \frac{1}{r}$
$∴ \frac{F_{1}}{F_{2}} = (\frac{r_{2}}{r_{1}})$

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$F = \frac{m v^{2}}{r}$ . If m and v are constants then $F \propto \frac{1}{r}$
$∴ \frac{F_{1}}{F_{2}} = (\frac{r_{2}}{r_{1}})$