A) \[\frac{{{K}^{2}}}{{{R}^{2}}}\]
B) \[\frac{{{R}^{2}}}{{{K}^{2}}+{{R}^{2}}}\]
C) \[\frac{{{R}^{2}}}{{{K}^{2}}+{{R}^{2}}}\]
D) \[{{K}^{2}}+{{R}^{2}}\]
Correct Answer: A
Solution :
\[\frac{Rotational\text{ }KE}{Translational\text{ }KE}=\frac{\frac{1}{2}I{{\omega }^{2}}}{\frac{1}{2}m{{v}^{2}}}\] \[=\frac{m{{K}^{2}}\frac{{{v}^{2}}}{{{R}^{2}}}}{m{{v}^{2}}}=\frac{{{K}^{2}}}{{{R}^{2}}}\]
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