Kinematics Question 707

Question: 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 [NCERT 1984]

Options:

A) $ \frac{r _{2}}{r _{1}} $

B) $ \sqrt{\frac{r _{2}}{r _{1}}} $

C) $ {{( \frac{r _{1}}{r _{2}} )}^{2}} $

D) $ {{( \frac{r _{2}}{r _{1}} )}^{2}} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ F=\frac{mv^{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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