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Question

A solid body floating in water has 15th of its volume immersed in it. What fraction of its volume will be immersed if it floats in a liquid of specific gravity 1.2?

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Solution

Let V = Volume of the object,
do = Density of the object,
dw = Density of water,
dl = Density of the liquid and
V = Volume of the body immersed while floating in the liquid.
From the law of flotation, buoyant force = weight of the object
dwV5g=doVgdodw=15
Also,
dlVg=doVg1.2dwVg=15dwVgV=V6

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