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The ratio of the radii or gyration of a circular disc to that of a circular ring

The ratio of the radii or gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is:

Options

(a) √3 : √2
(b) 1 : √2
(c) √2 : 1
(d) √2 : √3

Correct Answer:

1 : √2

Explanation:

The radius of gyration of a ociruclar ring K’ = R (Since both have the same mass and radius)
K / K’ = R / (√2 / R) = 1 / √2

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