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Buoyant Force

The density o...

Question

The density of a substance is $0.6 g / c m^{2}$ . If it floats with $\frac{2^{n d}}{3}$ of its volume in a liquid. The density of the liquid is______ $\times 10^{- 3} g / c m^{3}$

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Solution

Weight of block = weight of displaced liquid

$V d g = \frac{2}{3} V ρ g$

$⟹ ρ = \frac{3}{2} d = 1.5 \times 0.6$

$⟹ ρ = 0.9 g / c c = 900 \times 10^{- 3} g / c m^{3}$

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