Q 1138780602.     Two discs A and B, having moments of inertia `I` and `2I` respectively about the common axis are mounted co-axially on a vertical axle.

Disc A is imparted an initial angular velocity `2 ω` using the entire potential energy of a spring compressed by a distance `x_1`. Disc B is imparted 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.

Find the ratio `(x_1)/(x_2).`






JEE-MIS
A

`2`

B

`1/2`

C

`sqrt2`

D

`1/sqrt2`

HINT

`1/2 I (omega) = 1/2 kx^2 `

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