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The rate of water gushing out of a pipe of radius 5   cm is 100   L   min - 1 . The Reynolds number for the flow is of the order of [density of water = 1000   kg   m - 3 , coefficient of viscosity of water = 1   mPa   s ]

Options

  1. A10 6
  2. B10 4
  3. C10 3
  4. D10 2

Correct answer

B. 10 4

Step-by-step solution

Rate of volume flow = π r 2 V = 100 ℓ /min πr 2 v = 1 600 m 3 / s Reynolds number = R e = ρ ∨ D η = 100 0 . 1 × 1 600 πr 2 × 2 r = 3 . 5 × 10 4

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