A) one-fourth of its rotational kinetic energy
B) half of the rotational kinetic energy
C) rotational kinetic energy
D) twice the rotational kinetic energy
Correct Answer: D
Solution :
Rotational kinetic energy, \[KE=\frac{1}{2}I{{\omega }^{2}}\] Here, \[\omega =1\,rad/s\] \[\therefore \] \[KE=\frac{1}{2}I\times 1\] or \[I=2\,KE\] ie, moment of inertia about an axis of a body is twice the rotational kinetic energy.
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