Moderate

"t" is the time required to evacuate a tank filled of liquid, time required to evacuate 50% of liquid will be

Correct answer: B. 0.707 T

  • A. 0.5 T
  • B. 0.707 T
  • C. 0.88 T
  • D. 0.4 T

Explanation

The correct answer is 0.707 T. This is because the process of evacuating a tank often follows an exponential decay pattern, as described by Torricelli's law, where the flow rate decreases as the liquid level drops. The time to reach 50% evacuation is approximately 0.707 times the total evacuation time due to this non-linear relationship. Option A (0.5 T) assumes a linear process, which is incorrect. Option C (0.88 T) overestimates the time required, and Option D (0.4 T) underestimates it, both diverging from the typical fluid dynamics behavior.

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