When a floating body is given a small angular displacement, the body will oscillate about its metacentre. If T denotes the time period of oscillation or rolling (i.e., time for one complete oscillation) of the floating body, then, the relation is: (where GM is the metacentric height, k is the radius of gyration and T is in seconds)
1
\(\rm T=\pi\sqrt{\frac{k^2}{GM.g}}\)
2
\(\rm T=\pi\sqrt{\frac{k^3}{GM.g}}\)
3
\(\rm T=2\pi\sqrt{\frac{k^3}{GM.g}}\)
4
\(\rm T=2\pi\sqrt{\frac{k^2}{GM.g}}\)
5
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