The density of water is 1.0 g/cm³.If h = 20 cm, the density of the oil in the left column of the U-tube shown below is: A)0.20 g/cm³ B)0.90 g/cm³ C)1.0 g/cm³ D)1.3 g/cm³ E)5.0 g/cm³

Question

Quizplus · Accepted Answer

Since the U-tube is open to the atmosphere, the pressure at both ends of the tube is the same. Therefore, the pressure difference is due to the difference in the heights of the liquids in the two columns. Using the equation P = ρgh, where P is the pressure difference, ρ is the density of the liquid, g is the acceleration due to gravity, and h is the height of the liquid, we can solve for the density of the oil in the left column.

Let's use water as the reference liquid for the pressure difference calculation. The pressure difference between the top of the water column and the top of the oil column is:

P = ρgh = (1.0 g/cm³)(20 cm) = 20 g/cm²

Since the pressure at both ends of the tube is the same, the pressure difference between the top of the oil column and the top of the water column is also 20 g/cm².

Now we can calculate the density of the oil using the same equation:

ρ = P/gh = (20 g/cm²)/(20 cm) = 0.9 g/cm³

Therefore, the answer is B, 0.9 g/cm³.

The Density of Water Is 1