Concept:Bernoulli's equation accounts for pressure, kinetic energy, and potential energy per unit volume along a streamline.
Formula:$$ P + \frac{1}{2}\rho v^2 + \rho g h = \text{constant} $$
Solution:- Because the pipe is perfectly horizontal, the elevation height \( h \) remains constant along the flow path.
- Therefore, the potential energy term \( \rho g h \) does not change and is absorbed into the constant on the right side of the equation.
- The simplified equation becomes: \( P + \frac{1}{2}\rho v^2 = \text{constant} \).
Why other options are incorrect:Option B removes the kinetic energy term entirely (used only for static fluids). Option C drops the square on the velocity, violating energy dimensions. Option D applies incorrect arbitrary multipliers.
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