Two discs A and B are mounted coaxially on a vertical axle. The discs have moments of inertia I and 21, respectively about the common axis. Disc A is imparted an initial angular velocity \( 2 \omega \) using the entire potential energy of a spring compressed by a distance x1. Disc B is imparted an angular velocity \( \omega \) by a spring having the same spring constant and compressed by a distance x2. Both the discs rotate in the clockwise direction. The ratio of \( \frac{x_{1}}{x_{2}} \) is-

A 2

B 1/2

C √2

D 1/√2

Solution

Correct Answer: Option C

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