JEE Physics · Hard

Fluid Mechanics: Bernoulli's Theorem MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Bernoulli's TheoremHardQuestion 30969

Question

A Pitot tube measures fluid speed. Static pressure P₁ and stagnation pressure P₂ give speed as:
  1. A
    v = √(2(P₂−P₁)/ρ)
    Correct
  2. B
    v = √(2(P₁−P₂)/ρ)
  3. C
    v = (P₂−P₁)/ρ
  4. D
    v = √(P₂/ρ)

Correct answer

v = √(2(P₂−P₁)/ρ)

Explanation

At stagnation point, all kinetic energy converts to pressure: P₂ = P₁ + ½ρv². Solving: v = √(2(P₂−P₁)/ρ).