JEE Main20198 Apr 2019Morning ShiftPhysicsMechanical Properties of FluidsActual
Water from a pipe is coming at a rate of 100 liters per minute. If the radius of the pipe is 5 c m , the Reynolds number for the flow is of the order of: (density of water = 100 k g / m 3 , coefficient of viscosity of water = 1 m P a s )
Options
- A10 2
- B10 4
- C10 3
- D10 6
Correct answer
B. 10 4
Step-by-step solution
Volume flow rate = π r 2 v = 100 l m i n ⇒ π r 2 v = 1 600 m 3 / s e c ⇒ v = 1 600 π r 2 m / s e c Reynolds number R e = ρ v D η = 1000 1 × 10 - 3 × 1 600 π r 2 × 2 r = 2000 0.6 π 5 × 10 - 2 = 21220.66 = 2.1 × 10 4