A) 1 : 4
B) 4 : 1
C) \[\sqrt{2}\,\,:\,\,1\]
D) \[1\,\,:\,\,\sqrt{2}\]
Correct Answer: D
Solution :
The centripetal force, \[F=\frac{m{{v}^{2}}}{r}\] Þ \[r=\frac{m{{v}^{2}}}{F}\] \ \[r\propto {{v}^{2}}\] or \[v\propto \sqrt{r}\] (If m and F are constant), Þ \[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{r}_{1}}}{{{r}_{2}}}}=\sqrt{\frac{1}{2}}\]
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