A quarter disc of radius \( R \) and mass \( m \) is rotating about the axis \( O O^{\prime} \) ...

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A quarter disc of radius \( R \) and mass \( m \) is rotating about the axis \( O O^{\prime} \) (perpendicular to the plane of the disc) as shown. Rotational kinetic energy of the quarter disc is
(1) \( \frac{1}{2} m R^{2} \omega^{2} \)
(2) \( \frac{1}{4} m R^{2} \omega^{2} \)
(3) \( \frac{1}{8} m R^{2} \omega^{2} \)
(4) \( \frac{1}{16} m R^{2} \omega^{2} \)
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