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 force is

Options

A. `r_(2)/r_(1)`
B. `sqrt(r_(2)/r_(1))`
C. `(r_(1)/r_(2))^(2)`
D. `(r_(2)/r_(1))^(2)`

Answer

A

Explanation

Since, `F = (mv^(2))/r rArr F prop 1/r rArr F_(1)/F_(2) = r_(2)/r_(1)`