The CORRECT statement in the light of Bernoulli's theorem is that the
Correct answer: B. Speed of the fluid is high at low pressure.
- A. Speed of the fluid is low at low pressure.
- B. Speed of the fluid is high at low pressure.
- C. Pressure of a fluid is independent of its speed.
- D. Theorem is valid only for turbulent flow of a liquid.
Explanation
According to Bernoulli's theorem, in a steady, ideal flow of an incompressible fluid with no viscosity, the sum of the pressure energy, kinetic energy, and potential energy per unit volume remains constant. This means that an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. Therefore, the correct statement is that the speed of the fluid is high at low pressure. Option B correctly reflects this relationship.Option A is incorrect because it states the opposite of what Bernoulli's theorem describes. Option C is incorrect because it contradicts the relationship established by Bernoulli's theorem, which links fluid speed and pressure. Option D is incorrect because Bernoulli's theorem is not applicable to turbulent flow; it is valid for streamline or laminar flow.
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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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