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A solid floats in liquid A with half its volume immersed and in liquid B with \(\frac{2}{3}\) of its volume immersed. The densities of the liquids A and B are in the ratio.

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Weight of liquid A displaced is WA = \(\frac{1}{2}\)Ag

Weight of liquid B displaced is WB = \(\frac{2}{3}\)Bg

According to Archimede's Principle WA = WB

 \(\frac{1}{2}\)Ag =\(\frac{2}{3}\)Bg

[\(\frac{ρ_A}{ρ_B}\) = \(\frac{4}{3}\)]

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