Torricelli's theorem be written as:
Correct answer: A. v2 = √ 2g (h1 - h2)
- A. v2 = √ 2g (h1 - h2)
- B. v2 = √ g (h2 - h1)
- C. v2 = √ 2g (h2 - h1)
- D. v2 = √ g (h1 - h2)
Explanation
Explanation:Torricelli's theorem states that the velocity (v) of a liquid flowing out of an orifice at the bottom of a container is equal to the velocity acquired by a freely falling body from a height (h1 - h2), where h1 is the height of the liquid surface above the orifice and h2 is the height of the orifice above the ground. Mathematically, it can be expressed as: v2 = √ 2g (h1 - h2)Where g is the acceleration due to gravity.
This question appeared on the UHS MDCAT 2009 paper, which you can sit online with every answer explained.
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About Bernoulli's Equation
Bernoulli’s equation applies conservation of energy to steady flow of an incompressible, non-viscous fluid along a streamline: pressure, kinetic and gravitational terms have a constant total. It explains pressure-speed changes in narrow pipes, Venturi meters and lift, and differs from continuity because it relates pressure as well as velocity and height.
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