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  • A cube of material having a density of <img alt="\mathrm{0.9 \times 10^3 \mathrm{~kg} / \mathrm{m}^3}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B0.9%20%5Ctimes%2010%5E3%20%5C

A cube of material having a density of \mathrm{0.9 \times 10^3 \mathrm{~kg} / \mathrm{m}^3} floats between water and a liquid of density \mathrm{0.7 \times 10^3 \mathrm{~kg} / \mathrm{m}^3}, which is immiscible with water, what part of the cube is immersed in water?

Option: 1

\frac{1}{3}


Option: 2

\frac{2}{3}


Option: 3

\frac{3}{4}


Option: 4

\frac{3}{7}


Answers (1)

best_answer

\mathrm{\begin{aligned} & 0.1 \times 10^3 \times V_W=0.2 \times 10^3 \times V_L \\\\ & \Rightarrow \frac{V_W}{V_L}=2 \\\\ & \Rightarrow \frac{V_W}{V_W+V_L}=\frac{2}{3} \end{aligned}}

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