Bernoulli’s Theorem Statement and its Derivation Yashwant Parihar, December 17, 2023August 1, 2024 In this post, we will discuss in detail the Explanation of Bernoulli’s principle, its statement, and Proof of its Formula through Derivation. Burnoulli’s theorem is an important topic of the class 11 fluid chapter. Burnoulli’s theorem always occurs in half or yearly examinations. So let’s get started with its statement:-Burnoulli’s Equation and its DiagramAccording to Bernoulli, the sum of kinetic energy, potential energy, and pressure energy at unit volume remains constant at every point of the flow is called Burnoulli’s Equation.P+1/2ρv²+ρgh = ConstantBurnoull’s Theroem DiagramProof or Derivation of Bernoulli’s TheoremWork = Force x DisplacementWork at per unit timeWork = Force x Displacement/timeWork = Force x Velocity – 1Pressure = Force/AreaForce = Pressure x AreaPut in Equation 1Work = Pressure x Area x VelocityChange in work = Wf – Wi = P₁ A₁ V₁ – P₂ A₂ V₂ΔW = P₁ A₁ V₁ – P₂ A₂ V₂According to Eqn of Continuity-A₁ V₁ = m/ρΔW = P₁ m/ρ – P₂ m/ρΔW = m/ρ ( P₁ – P₂)Change in Potential Energy- ΔP = Pf – PiΔP = mgh₁ – mgh₂ ΔP = mg (h₁ – h₂)Change in Kinetic Energy-ΔK = Kf – KiΔK = 1/2mv₁² – 1/2mv₂ ²ΔK = 1/2m(v₁² – v₂ ²)Change in Work = Change in Kinetic and Potential Energym/ρ ( P₁ – P₂) = mg (h₁ – h₂) + 1/2m(v₁² – v₂ ²)Cut all the Masses1/ρ ( P₁ – P₂) = 1/g (h₁ – h₂) + 1/2(v₁² – v₂ ²)Rho will move to RHSP₁ – P₂ = ρgh₁ – ρgh₂ + (1/2ρv₁² – 1/2ρv₂ ²)P + ρgh + 1/2ρv² = ConstantHence ProvedOther Physics ContentParallelogram Law of Vector Edition and its DerivationWork Energy Theorem for Constant and Variable ForceNewton’s Three Laws of Motion – PhysicsJohannes Kepler’s Law of Planetary MotionClass 11 Physics Chapter 1 Notes on Unit and Measurement Bernoulli's Theorem Class 11 NCERT Class 11 Physics Physics Derivation Bernoulli's theroemClass 11 PhysicsNcert class 11PhysicsPhysics Derivation