Moderate

Speed of efflux is V in a tank if the tank is placed on 2m high then speed of efflux will be

Correct answer: D. √2gh

  • A. √4gh
  • B. √2v
  • C. √2gh/2
  • D. √2gh

Explanation

The speed of efflux through an orifice at the bottom of a tank is determined by Torricelli's Law, which is derived from Bernoulli's principle. According to this law, the efflux speed V is √(2gh), where g is the acceleration due to gravity, and h is the height of the fluid column above the orifice. The height of the tank itself (such as being placed 2m high) does not affect the speed of efflux unless it changes the height of the fluid column above the orifice. Option A incorrectly assumes an additional factor in the equation. Option B incorrectly modifies V without proper basis, and Option C incorrectly divides the correct formula by 2. Therefore, Option D is the correct answer.

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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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