Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Given below are two statements: Statement I: The kinetic energy of a body of moment of inertia \( I \) rotating with an angular velocity \( \omega \) about a fixed axis is given by \( K = \frac{1}{2} I \omega^2 \). Statement II: The moment of inertia of a rotating rigid body changes if its angular velocity is doubled. In the light of the above statements, choose the most appropriate answer from the options given below:

1. A
   Both Statement I and Statement II are correct.
2. B
   Both Statement I and Statement II are incorrect.
3. C
   Statement I is correct but Statement II is incorrect.
4. D
   Statement I is incorrect but Statement II is correct.