U-Tube - Example 2

Example 2:

The diagram shows a U-tube filled with two types of liquid, X and Y which are not mixable. If the density of liquid X and liquid Y are 1200 kg/m³ and 800 kg/m³ respectively, find the value of h.

Answer:
h₁ = 10cm
h₂ = h
ρ₁ = 800kg/m³
ρ₂ = 1200kg/m³

$$\begin{array}{l}{h}_1{\rho }_1=h_2{\rho }_2\\ (10)(1200)=h(800)\\ h=\frac{12000}{800}=15cm\end{array}$$