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

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

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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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Two particles of equal masses are revolving in circular paths of radii r1 and r2 respectively with the same speed. The ratio of their centripetal forces is

The correct option is A r2r1 F = mv2r.If m and v are constants then F ∝1r F1F2 = r2r1

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

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

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