A thin uniform circular disc of mass \( M \) and radius \( R \) is rotating in a horizontal plan...

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A thin uniform circular disc of mass \( M \) and radius \( R \) is rotating in a horizontal plane about an axis passing through its centre and perpendicular to the plane with angular velocity \( \omega \). Another disc of same mass but half the radius is gently placed over it coaxially. The angular speed of the composite disc will be :
(A) \( 5 \omega / 4 \)
(B) \( 4 \omega / 5 \)
(C) \( 2 \omega / 5 \)
(D) \( 5 \omega / 2 \)
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