A) \[\frac{1}{2}I{{L}^{2}}\]
B) \[\frac{1}{2}IL\]
C) \[\frac{1}{2}{{I}^{2}}L\]
D) \[\frac{1}{2}\frac{{{L}^{2}}}{I}\]
Correct Answer: D
Solution :
We know that\[L=I\omega \] Kinetic energy of a body with angular momentum \[KE=\frac{1}{2}I{{\omega }^{2}}\] \[KE=\frac{1}{2}\times I\times {{\left( \frac{L}{I} \right)}^{2}}\] \[KE=\frac{{{L}^{2}}}{2I}\]
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