Answer: h 1 + h 2 = H (total tank height).
- A h<sub>1</sub> + h<sub>2</sub> = H (total tank height)
- B h<sub>1</sub> = h<sub>2</sub>, meaning the two holes are at the same depth
- C h<sub>1</sub> × h<sub>2</sub> = H², an incorrect product relation with the tank height
- D h<sub>1</sub> = 2h<sub>2</sub>, an arbitrary fixed ratio between the two depths
Correct answer: A. h<sub>1</sub> + h<sub>2</sub> = H (total tank height)
Explanation: Range = 2√(h(H-h)). For equal ranges: h<sub>1</sub>(H-h<sub>1</sub>) = h<sub>2</sub>(H-h<sub>2</sub>). This holds when h<sub>1</sub> and h<sub>2</sub> are symmetric about H/2, i.e., h<sub>1</sub> + h<sub>2</sub> = H.
Since the same volume of fluid must pass every cross-section per second (continuity), the fluid speeds up where the pipe narrows; Bernoulli's equation then says this faster-moving fluid has lower pressure - the principle behind a venturi meter and an aircraft wing's lift.
Concept context
Pressure, buoyancy, Bernoulli equation, viscosity, and surface tension.