A) \[IK{{E}_{rot}}\]
B) \[2\sqrt{IK{{E}_{rot}}}\]
C) \[\sqrt{2I\,\,K{{E}_{rot}}}\]
D) \[2I\,\,K{{E}_{rot}}\]
Correct Answer: C
Solution :
The rotational kinetic energy of a body of moment of inertia I and angular velocity cd is given by \[K{{E}_{rot}}=\frac{1}{2}I{{\omega }^{2}}\] \[\Rightarrow \] \[\omega =\sqrt{\frac{2\,K{{E}_{rot}}}{I}}\] ... (i) Angular momentum \[J=I\omega \] ... (ii) From Eqs. (i) and (ii), we get \[J=\sqrt{2\,K{{E}_{rot}}I}\]
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