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The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are

1. √2:1
2. 1:√2
3. 3:2
4. 2:1

Correct answer: √2:1

Solution

The radius of gyration for a circular ring is equal to its radius (R), while for a circular disc it is R/√2. The ratio of their radii of gyration is therefore √2:1.

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