Paragraph-1 : Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertia I and 2I respectively about the common axis. Disc A is imparted an initial angular velocity `2omega` using the entire potential energy of a spring compressed by a distance `x_(1)`. Disc B is imparted an angular velocity `omega` by a spring having the same spring constant and compressed by a distance `x_(2)`. Both the discs rotate in the clockwise direction.
The loss of kinetic energy during the above process is :

Options

A. `(Iomega^(2))/(2)`
B. `(Iomega^(2))/(3)`
C. `(Iomega^(2))/(4)`
D. `(Iomega^(2))/(6)`.

Answer

B