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Mechanical Properties Of Fluids

Question
CBSEENPH11019318

A cylinder is floating in a liquid with 20cm of its length immersed in liquid of density 1.2gm/cc. Find the time period of oscillation when disturbed from mean position.

Solution
Time period of oscillation of cylinder floating in the liquid is given by,
                  straight T equals 2 straight pi square root of straight ell over straight g end root
where,
Error converting from MathML to accessible text. is the length of the cylinder inside the liquid.
Here, Error converting from MathML to accessible text.= 20 cm.
Therefore time period of the oscillation is given by, 
straight T equals 2 straight pi square root of 20 over 980 end root space

space equals fraction numerator 2 straight pi over denominator 7 end fraction equals 0.897 straight s