A) \[\frac{2}{9}\]
B) \[\frac{2}{5}\]
C) \[\frac{2}{7}\]
D) \[\frac{7}{2}\]
Correct Answer: B
Solution :
Moment of inertia of sphere \[I=\frac{2}{5}M{{R}^{2}}\] ... (1) and for pure rolling \[\upsilon -R\,\omega \] ... (2) \[\frac{Rotationl\,KE}{Translationl\,KE}=\frac{\frac{1}{2}I{{\omega }^{2}}}{\frac{1}{2}m{{\upsilon }^{2}}}\] from (1) and (2) \[=\frac{\frac{1}{2}\times \frac{2}{5}M{{R}^{2}}{{\omega }^{2}}}{\frac{1}{2}M{{R}^{2}}{{\omega }^{2}}}=\frac{2}{5}\]
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