Two discs of same moment of inertia rotating 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 the face coinciding the axis of rotation. The expression for loss of enregy during this process is :

Options

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

Answer

B