A storage tank open to the atmosphere has two identical small holes on its side, Hole…
PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids
Problem
A storage tank open to the atmosphere has two identical small holes on its side, Hole X and Hole Y. Hole Y is located twice as far below the water surface as Hole X. Both holes point straight upward so that the water emerges in vertical jets. Which of the following best describes the relative maximum heights hY and hX reached by the jets, neglecting air resistance?
(a) hY=hX because both jets leave the tank at the same atmospheric pressure.
(b) hY=2hX because doubling the depth increases the exit speed by 2 and the jet therefore rises 2 times higher.
(c) hY=2hX because a jet rises to a height equal to the depth of its exit point below the surface.
(d) hY=4hX because doubling the depth doubles the exit speed, and the height reached is proportional to the square of that speed.