Bernoulli S Equation — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Bernoulli's Equation Applies to steady flow of an incompressible, non-viscous fluid along a streamline. Apply Work-Energy Theorem to a fluid element moving along a streamline. Calculate work done by pressure forces: (P1 - P2)dV. Calculate work done by gravity: -mg(h2 - h1). Equate net work to change in kinetic energy: 0.5 m (v2 2 - v1 2). Divide by volume dV (where m/dV = rho) and rearrange terms to group by state. Steady flow Incompressible fluid (constant density) Inviscid flow (zero viscosity/friction) Applied along a single streamline Thinking Bernoulli's principle means higher velocity always implies lower pressure regardless of constraints (e.g. adding energy via a pump). Applying the equation across different streamlines in rotational flow. Neglecting the potential energy term (rho g h) in liquid flows with significant height changes.