A container is entirely filled with water, and the pressure at the bottom of the

Question

A container is entirely filled with water, and the pressure at the bottom of the container is P. Then the container is emptied halfway and topped off with oil of density 0.80 x 103 kg/m3 which floats on top of the water. What is the ratio of the pressure P' at the bottom of the container now with respect to the pressure when only water was present in the container? (the density of water is (1 x 103 kg/m3).  Neglect air pressure when answering the problem (i.e. we are comparing gauge pressures).

A. The pressure does not change

B. Not enough info

C. P'/P = .9

D. P'/P = 1.1

Explanation / Answer

initial P = 1 x 103gh

Final P = 1 x 103gh/2 + 0.8 x 103gh/2 = 0.9 x 103gh

ratio = 0.9 x 103gh/ 1 x 103gh = 0.9

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