Conservation of angular momentum – energy loss

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1. 1 2017 System of Particles and Rotational Motion #
   Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities $\omega_1$ and $\omega_2$. They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is
   A $\frac{1}{2}I(\omega_1 + \omega_2)^2$ B $\frac{1}{4}I(\omega_1 - \omega_2)^2$ C $I(\omega_1 - \omega_2)^2$ D $\frac{I}{8}(\omega_1 - \omega_2)^2$
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