A) \[{{\left( \frac{{{R}_{1}}}{{{R}_{2}}} \right)}^{2}}\]
B) \[\frac{{{R}_{2}}}{{{R}_{1}}}\]
C) \[\frac{{{R}_{1}}}{{{R}_{2}}}\]
D) 1
Correct Answer: C
Solution :
[c] \[{{a}_{1}}=\frac{v_{1}^{2}}{{{R}_{1}}}=\frac{{{\omega }^{2}}R_{1}^{2}}{{{R}_{1}}}={{\omega }^{2}}{{R}_{1}}~~~\] \[{{a}_{2}}=\frac{v_{2}^{2}}{{{R}_{2}}}={{\omega }^{2}}{{R}_{2}}~\] Taking particle masses equal \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{m{{a}_{1}}}{m{{a}_{2}}}=\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]You need to login to perform this action.
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