Answer: h1 + h2 = H (total tank height).
- A h1 + h2 = H (total tank height)
- B h1 = h2, meaning the two holes are at the same depth
- C h1 × h2 = H², an incorrect product relation with the tank height
- D h1 = 2h2, an arbitrary fixed ratio between the two depths
Correct answer: A. h1 + h2 = H (total tank height)
Explanation: Range = 2√(h(H-h)). For equal ranges: h1(H-h1) = h2(H-h2). This holds when h1 and h2 are symmetric about H/2, i.e., h1 + h2 = 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.