A large tank has water up to height H. A small hole is made in its vertical wall at depth h below the free surface. The horizontal range of the jet measured from the wall to the level of the tank bottom is maximum when:
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Question

A large tank has water up to height H. A small hole is made in its vertical wall at depth h below the free surface. The horizontal range of the jet measured from the wall to the level of the tank bottom is maximum when:

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G1 Physics · Accepted Answer

Efflux speed is √(2gh). Hole height above bottom is H−h, so fall time=√[2(H−h)/g]. Range x=2√[h(H−h)], maximum at h=H/2.