Question Detail
Question
If water is flowing through a pipe of diameter 2 m, with a velocity of 20 m/s, calculate the value of Reynold's number. Assume the density and coefficient of viscosity of water are 10³ kg/m³ and 10⁻³ N s/m² respectively.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Reynolds number Re = ρ v D / η, where D is diameter. ρ = 1000 kg/m³, v = 20 m/s, D = 2 m, η = 10⁻³ N s/m². So Re = (1000 × 20 × 2) / 10⁻³ = (40000) / 10⁻³ = 4.0 × 10⁷.
Hint
Use the formula Re = ρvD/η.