Question

Three different liquids are filled in a U-tube as shown in the figure. Their densities are \( \rho_1 \), \( \rho_2 \), and \( \rho_3 \), respectively. From the figure, we may conclude that:

• A. \( \rho_3 = 4(\rho_2 - \rho_1) \)
• B. \( \rho_3 = 4(\rho_1 - \rho_2) \)
• C. \( \rho_3 = 2(\rho_2 - \rho_1) \)
• D. \( \rho_3 = \frac{\rho_1 + \rho_2}{2} \)

Hint:

In pressure equilibrium problems, remember that the pressure at the same level in different liquids must be equal for the system to be in equilibrium.