Problem A1:
Consider the U-shaped tube shown below. The tube contains two different fluids,
one in the left column with a density ρ_{2} and one in the right column
with a density ρ_{1}. The fluid in the left column is a height
n_{2} above the bottom piece, and the fluid in the right column is
n_{1} above the left fluid (ρ_{2}). The area of the
left column is A_{0}, and the area of the right column is
2A_{0}. If the ratio of densities
ρ_{2} / ρ_{1} = n_{3}, what is
n_{3}?

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