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Fluid Mechanics: Torricelli's Theorem MCQ

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Torricelli's TheoremMediumQuestion 30928

Question

A tank has water to height H. A hole at height h from bottom: water shoots out horizontally and lands at horizontal distance from hole equal to:
  1. A
    √(hH)
  2. B
    2√(h(H−h))
    Correct
  3. C
    √(2gH)
  4. D
    2√(H−h)

Correct answer

2√(h(H−h))

Explanation

v = √(2g(H−h)) (Torricelli). Time to fall h: h = ½gt² → t = √(2h/g). Range = v×t = √(2g(H−h))×√(2h/g) = 2√(h(H−h)).

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