The following information applies to questions 19 and 20}
A U-tube manometer consists of a uniform diameter cylindrical tube that is bent into a U shape. It is originally filled with water that has a density \rho_{w}. The total length of the column of water is L. Ignore surface tension and viscosity.
The water is displaced slightly so that one side moves up a distance x and the other side lowers a distance x. Find the frequency of oscillation.
Answer Choices
A. \frac{1}{2 \pi} \sqrt{2 g / L}
B. 2 \pi \sqrt{g / L}
C. \frac{1}{2 \pi} \sqrt{2 L / g}
D. \frac{1}{2 \pi} \sqrt{g / \rho_{w}}
E. 2 \pi \sqrt{\rho_{w} g L}