MCAT Physics Question 59: Answer and Explanation
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Question: 59
14. Two fluids, A and B, have densities of x and 2x, respectively. They are tested independently to assess absolute pressure at varying depths. At what depths will the pressure below the surface of these two fluids be equal?
- A. Whenever the depth of fluid A is one-half that of fluid B
- B. Whenever the depth of fluid A equals that of fluid B
- C. Whenever the depth of fluid A is 2 times that of fluid B
- D. Whenever the depth of fluid A is 4 times that of fluid B
Correct Answer: C
Explanation:
The equation for absolute (hydrostatic) pressure is P = Po + ρgz, where Po is the pressure at the surface, ρ is the density of the fluid, g is acceleration due to gravity, and z is the depth in the fluid. If the density of fluid B is twice that of fluid A, then the depth in fluid A will have to be twice that in fluid B to obtain the same absolute pressure: