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Two discs A and B are mounted coaxially ...

Two discs `A` and `B` are mounted coaxially ona vertical axle. The discs have moments of inertia `l` and `2l` respectively about the common axis. Disc A is imparted an initial angular velocity `2 omega` using the centre potential energy of a spring compressed by a distance `x_(1)`. Disc `B` is imparted angular velocity `omega` by a spring having the same spring constant and compressed by a distance `x_(2)`. Both the disc rotate in the clockwise direction.
The rotation `x_(1)//(x_(2)` is.

A

2

B

`1//2`

C

`sqrt""2`

D

`1 //sqrt""2`

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The correct Answer is:
C
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