A round disc of moment of inertia \( I_{2} \) about its axis perpendicular to its plane and pass...

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A round disc of moment of inertia \( I_{2} \) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia \( I_{1} \) rotating with an angular velocity \( \omega \) about the same axis. The final angular velocity of the combination is
(A) \( \omega \)
(B) \( \frac{I_{1}()}{I_{1}+I_{2}} \)
(C) \( \frac{I_{2} \omega}{I_{1}+I_{2}} \)
(D) \( \frac{\left(I_{1}+I_{2}\right) \omega}{I_{2}} \)
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