A ring and a disc are initially at rest, side by side, at the top o...

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A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle \( 60^{\circ} \) with the horizontal. They start to roll without slipping at the same
\( P \) instant of time along the shortest path. If the time difference between their reaching the ground is
W \( (2-\sqrt{3}) / \sqrt{10} \mathrm{~s} \), then the height of the top of the inclined plane, in metres, is (Take, \( g=10 \mathrm{~ms}^{-2} \) ) (2018 Main)
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