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}} ) $
