A) \[KEI\]
B) \[2\sqrt{KEI}\]
C) \[\sqrt{2KEI}\]
D) \[KE/I\]
Correct Answer: C
Solution :
Rotational, \[KE=\frac{1}{2}I{{\omega }^{2}}\] .....(i) Angular momentum \[(L)=I\omega \] or \[{{L}^{2}}={{I}^{2}}{{\omega }^{2}}\] ...(ii) \[\therefore \] \[\frac{KE}{{{L}^{2}}}=\frac{\frac{1}{2}I{{\omega }^{2}}}{{{I}^{2}}{{\omega }^{2}}}\] \[=\frac{1}{2I}\] \[{{L}^{2}}=2KEI\] \[L=\sqrt{2KEI}\]
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