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A two-meter-high tank is full of water. A hole is made in the middle of the tank. The speed of efflux is:

Correct answer: C. 4.42ms-1

  • A. 4.9ms-1
  • B. 9.8ms-1
  • C. 4.42ms-1
  • D. 3.75ms-1

Explanation

At the tank mid-height h = 1.00 m, Torricelli's theorem gives v = √(2gh). Using g ≈ 9.8 m/s², v = √(2×9.8×1) = √19.6 ≈ 4.43 m/s. This matches option C. and is the ideal efflux speed neglecting viscosity and losses.

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Fluid flow is described through speed, pressure and density, including steady flow and the equation of continuity for conserving mass. Bernoulli's equation relates pressure, speed and height, while fluid drag and terminal velocity explain why a falling object eventually moves at constant speed when drag balances its weight.

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