Two particles of equal masses are revolving in circular paths of radii r1 and r2 respectively with the same speed.

Monjur Alahi

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

(A) \(\frac{r_2}{r_1}\) 

(B)  \(\sqrt{\frac{r_2}{r_1}}\) 

(C)  \(\Big(\frac{r_1}{r_2}\Big)^2\) 

(D)  \(\Big(\frac{r_2}{r_1}\Big)^2\) 


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Salim Ahmed Kawsar

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Answer is (A) \(\frac{r_2}{r_1}\) 

F =   \(\frac{mv^2}{r}\)

If m and v are constants, then F ∝ \(\frac{1}{r}\)

∴ \(\frac{F_1}{F_2}\) = \(\Big(\frac{r_2}{r_1}\Big)\)

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