A) \[{{m}_{1}}\,{{r}_{1}}\,:\,{{m}_{2}}\,{{r}_{2}}\]
B) \[{{m}_{1}}\,:\,{{m}_{2}}\]
C) \[{{r}_{1}}\,:\,{{r}_{2}}\]
D) \[1\,\,:\,\,1\]
Correct Answer: C
Solution :
[c] Centripetal acceleration, \[{{a}_{e}}={{\omega }^{2}}r\] Angular velocity, \[\omega =\frac{2\pi }{T}\] The cars make complete circle in same time. As\[{{T}_{1}}={{T}_{2}}\Rightarrow {{\omega }_{1}}={{\omega }_{2}}\] \[\therefore \frac{{{a}_{{{c}_{1}}}}}{{{a}_{{{c}_{2}}}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\]
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