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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 im parted an angular velocity ω 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 proces is

A

`(Iomega^2)/(2)`

B

`(Iomega^2)/(3)`

C

`(Iomega^2)/(4)`

D

`(Iomega^2)/(6)`

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