Q87 / 90 · JEE Main 2019 (08 Apr Shift 1) · Physics

Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5 cm, the Reynolds number for the flow is of the order of: (density of water = 100 kg/m3, coefficient of viscosity of water =1 mPa s)

  • A
     102
  • Correct answer
    B
    104
  • C
    103
  • D
    106

Solution

Volume flow rate =πr2v=100 lmin
⇒πr2v=1600 m3/sec
⇒v=1600 πr2 m/sec
Reynolds number Re=ρvDη
=10001×10-3×1600 πr2×2r
=20000.6π5×10-2=21220.66=2.1×104

Hence, the correct answer is option: 'B'.

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