Bernoulli\’s principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid\’s potential energy. Derivation :\xa0Let the velocity, pressure and area of a fluid column at a point A be v₁,\xa0p and A₂ and at another point B be v₂,\xa0p₂,\xa0p₂ and A₂ . Let the volume that is bounded by A and B be moved to M and N . let AM = L₁ and BN = L₂ . Now if we can compress the fluid then we have,A₁L₁ = A₂L₂Net work done per volume = p₂ – p₁Kinetic energy per volume = 1/2\xa0ρ v²Kinetic energy gained per volume = 1/2\xa0ρ (v₂² – v₁²)\xa0Potential energy gained per volume =\xa0ρ g(h₂ – h₁)\xa0Now ,\xa0p₁ – p₂ = 1/2\xa0ρ (v₂² – v₁²) +\xa0ρ g(h₂ – h₁)\xa0p₁ – p₂ = 1/2\xa0ρ v₂² – 1/2\xa0ρ v₁² +\xa0ρ g h₂ -\xa0ρ g h₁p₁ + 1/2\xa0ρ v₁² +\xa0ρ g h₁ = p₂ +\xa01/2\xa0ρ v₂² +\xa0ρ g h₂p + 1/2\xa0ρ v +\xa0ρ g h = constant\xa0Hope you like it..