3. A U-tube is partly filled with water. Oil is then poured on top of the water

Question

3. A U-tube is partly filled with water. Oil is then poured on top of the water on one side. The final water levels on both sides are as shown. The surface of the oil is not shown. Points A and D are at the same level; points B and C are at the same level. a. Is the pressure at point B greater than, less than, or equal to the pressure at point C? Explain. b. Will the pressure at the top surface of the oil be greater than, less than, or equal to the pressure at point D? (Hint: What is the pressure at point D?) c. Based on your answers to parts a and b, will the top surface of the oil be above, below or at the same height as the top surface of the water? Explain how your answer is consistent with P = P0 + pgh.

Explanation / Answer

3

a)

Pressure at same horizontal level remains same . hence pressure at B and c is same

b)

The pressure will be same since pressure at top of oil is atmospheric pressure same as on point D

c)

The water level will be higher since the density of oil is less than the density of water

To have the same pressure at same level, the smaller value of density is compensated by the larger value of height.

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