MCQ
Two particles of equal masses are moving with equal speed on circular paths of radii $r_1$ and $r_2$. The ratio of their centripetal forces will be
  • $\frac{r_2}{l_1}$
  • B
    $\frac{r_1}{r_2}$
  • C
    $\left(\frac{r_2}{r_1}\right)^2$
  • D
    $\left(\frac{r_1}{r_2}\right)^2$

Answer

Correct option: A.
$\frac{r_2}{l_1}$
(A) $F _1=\frac{m v^2}{r_1}, F_2=\frac{m v^2}{r_2}$
$\because$ Masses and velocity are equal.
$\therefore \quad \frac{ F _1}{F_2}=\frac{l_2}{l_1}$
Hence, the correct ontion is (A).

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