JEE MainPhysicsMechanical Properties of Fluids
Which of the following represents the correct form of Bernoulli's equation expressed in terms of fluid 'heads' (where symbols have their usual meanings for an ideal fluid)?
Options
- AP g + v^2 g + h = constant
- BP g + v^2 2g + h = constant
- Cg P + v^2 2g + h = constant
- DP g + v^2 2g + h = constant
Correct answer
D. P g + v^2 2g + h = constant
Step-by-step solution
The standard form of Bernoulli's equation for an incompressible, non-viscous fluid is: P + g h + 1 2 v^2 = constant To express this in terms of fluid heads (energy per unit weight), divide the entire equation by the specific weight of the fluid, g : P g + h + v^2 2g = constant Here, P g is the pressure head, v^2 2g is the velocity head, and h is the elevation head. Answer: P g + v^2 2g + h = constant