A) \[\frac{{{r}_{2}}}{{{r}_{1}}}\]
B) \[\sqrt{\frac{{{r}_{2}}}{{{r}_{1}}}}\]
C) \[{{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\]
D) \[{{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{2}}\]
Correct Answer: A
Solution :
\[F=\frac{m{{v}^{2}}}{r}.\] If m and v are constants then \[F\propto \frac{1}{r}\] \ \[\frac{{{F}_{1}}}{{{F}_{2}}}=\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)\]
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