Moderate

A tall container filled to height "h", it is emptied in time "t", if the container is filled to h/3 height, the time required to completely empty the container is

Correct answer: A. t/√3

  • A. t/√3
  • B. t/3
  • C. 3t
  • D. √3t

Explanation

According to Torricelli's theorem, the time to empty a container is proportional to the square root of the height of the fluid. When the container is filled to height 'h', it takes time 't' to empty. If filled to h/3, the time required is proportional to √(h/3). Therefore, the time to empty the container from this height is t/√3. The other options are incorrect as they do not correctly apply the principle of fluid flow, which depends on the square root of the height.

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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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