U-Tube - Example 1

Example 1:

Figure above shows a U-tube filled with water and liquid P. Liquid P is insoluble in water. Given that the density of water is 1000kg/m³, find the density of liquid P.

Answer:
h₁ = 10cm
h₂ = 12 cm
ρ₁ = 1000kg/m³
ρ₂ = ? $$\begin{array}{l}{h}_1{\rho }_1=h_2{\rho }_2\\ (10)(1000)=(12){\rho }_2\\ {\rho }_2=\frac{10000}{12}=833kg{m}^{-3 }\end{array}$$

The density of liquid P = 833 kg/m³