Physics Fluid Dynamics PMDC Conceptual Practice
PMDC Verified Question 7 of 37
Bernoulli's equation is fundamentally a mathematical statement of which core physical principle applied to fluid flow?
A
Conservation of Linear Momentum
B
Conservation of Energy
C
Conservation of Mass
D
Conservation of Volume
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: Conservation of Energy
Concept:

Bernoulli's equation describes the behavior of an ideal fluid moving through a pipe.

Formula:

$$ P + \frac{1}{2}\rho v^2 + \rho g h = \text{constant} $$

Solution:

  • The equation states that the sum of pressure energy, kinetic energy per unit volume, and potential energy per unit volume remains constant.
  • This is a direct adaptation of the Work-Energy Theorem for a unit volume of fluid.
  • Therefore, it represents the Conservation of Energy.


Why other options are incorrect:

Conservation of Mass yields the Equation of Continuity. Momentum conservation gives the Navier-Stokes equations, while Volume conservation only strictly applies to incompressible fluids (not a universal conservation law).

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