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Mechanical Properties Of Fluids

Question
CBSEENPH11018279

How does the fractional volume submerged of the floating body change with acceleration due to gravity?

Solution
Let a body of volume V and density σ float in a liquid of density ρ

According to the law of floatation, 

Weight of body = Weight f liquid displaced

i.e.           Vσg = V' ρg

where v' is the volume of liquid displaced.

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Fractional volume submerged, 

              V'V=σρ

Since it is independent of g, therefore, the fractional volume submerged of the floating body does not change with acceleration due to gravity.