JEE Physics · Hard

Fluid Mechanics: Torricelli Advanced MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Torricelli AdvancedHardQuestion 30989

Question

A tank empties through a hole. Time to empty from height H₀ to zero is proportional to:
  1. A
    H₀
  2. B
    √H₀
    Correct
  3. C
    H₀²
  4. D
    1/√H₀

Correct answer

√H₀

Explanation

Rate of fall: −dh/dt ∝ √h. Integrating gives t ∝ √H₀.