A) \[I{{K}_{rot}}\]
B) \[2\sqrt{I{{K}_{rot}}}\]
C) \[\sqrt{2I{{K}_{rot}}}\]
D) \[2I{{K}_{rot}}\]
Correct Answer: C
Solution :
The rotational kinetic energy of a body is given by \[K{{ & }_{rot}}=\frac{1}{2}I{{\omega }^{2}}\] \[\Rightarrow \] \[I{{\omega }^{2}}=2{{K}_{rot}}\] \[\Rightarrow \] \[\omega =\sqrt{\frac{2{{K}_{rot}}}{I}}\] Angular momentum of body is given by \[J=I\omega =I\times \sqrt{\frac{2{{K}_{rot}}}{I}}\] \[=\sqrt{2{{K}_{rot}}I}\]
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