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 in to contanct face to face coinciding the axis of rotation. The expression for loss of energy during this process is

Options

A. `(1)/(4) I (omega_(1) - omega_(2))^(2)`
B. `I (omega_(1) - omega_(2))^(2)`
C. `(1)/(8) I (omega_(1)-omega_(2))^(2)`
D. `(1)/(2) I (omega_(1) - omega_(2))^(2)`

Answer

a