NEET Physics · Hard

Mechanical Properties of Fluids: Continuity Equation MCQ

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

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Continuity EquationHardQuestion 6461

Question

Volume flow rate Q = Av. If pipe splits into 5 equal branches (each area A/4), speed in each branch (original speed v₀):
  1. A
    4v₀/5
    Correct
  2. B
    5v₀/4
  3. C
    4v₀
  4. D
    v₀/5

Correct answer

4v₀/5

Explanation

Q = A×v₀ = 5×(A/4)×v_branch. v_branch = A×v₀/(5A/4) = 4v₀/5 = 4v₀/5.