Which of the following equations represents Bernoulli's principle?

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Question: Which of the following equations represents Bernoulli\'s principle?

Options:

Correct Answer: P + 1/2 ρv² + ρgh = constant

Solution:

Bernoulli\'s principle is represented by the equation P + 1/2 ρv² + ρgh = constant, relating pressure, velocity, and height in a fluid.

Which of the following equations represents Bernoulli's principle?

Which of the following equations represents Bernoulli's principle?

Step 1: Understand that Bernoulli's principle deals with fluids (liquids and gases).
Step 2: Know that the principle relates three main factors: pressure (P), velocity (v), and height (h) of the fluid.
Step 3: Recognize that the equation combines these factors into one formula.
Step 4: The equation is: P + 1/2 ρv² + ρgh = constant.
Step 5: In this equation, ρ represents the density of the fluid.
Step 6: The term 1/2 ρv² represents the kinetic energy per unit volume of the fluid.
Step 7: The term ρgh represents the potential energy per unit volume due to height.

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