Bernoulli’s equation represents total energy per unit of a certain qu...
Bernoulli's equation represents total energy per unit of weight.
(P/w=V2/2g(z)=C)
Hence the option B is correct.
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Bernoulli’s equation represents total energy per unit of a certain qu...
Bernoulli’s equation is a fundamental principle in fluid dynamics that relates the pressure, velocity, and elevation of a fluid flowing in a closed system. It is based on the principle of conservation of energy and represents the total energy per unit of a certain quantity.
The quantity that Bernoulli’s equation represents is the energy per unit mass. This means that the equation relates the total energy of a fluid per unit mass to the pressure, velocity, and elevation of the fluid.
Explanation:
Bernoulli’s equation can be expressed as:
P + 1/2 ρv^2 + ρgh = constant
where P is the pressure of the fluid, ρ is the density of the fluid, v is the velocity of the fluid, g is the acceleration due to gravity, h is the elevation of the fluid, and the constant represents the total energy per unit mass.
The equation shows that the total energy per unit mass of a fluid is constant at any point along a streamline. This means that as the velocity of the fluid increases, the pressure decreases and vice versa, while the total energy per unit mass of the fluid remains constant.
The quantity represented by Bernoulli’s equation is important in many applications of fluid dynamics, such as in the design of aircraft wings, the flow of blood in the human body, and the operation of hydraulic systems.
Conclusion:
In conclusion, Bernoulli’s equation represents the total energy per unit mass of a fluid flowing in a closed system. This quantity is important in understanding the relationship between the pressure, velocity, and elevation of the fluid, and is used in many practical applications of fluid dynamics.