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Question: The flow rate of water from a tap of diameter 1.25 cm is 3 L per min. The coefficient of viscosity o...

The flow rate of water from a tap of diameter 1.25 cm is 3 L per min. The coefficient of viscosity of water is 103pa10 ^ { - 3 } \mathrm { pa } s. The nature of the flow is

A

Unsteady

B

Turbulent

C

Laminar

D

None of these

Answer

Turbulent

Explanation

Solution

Here diameter of the tap,

D=1.25 cm=1.25×102 m\mathrm { D } = 1.25 \mathrm {~cm} = 1.25 \times 10 ^ { - 2 } \mathrm {~m}

Density of water ρ=103 kg m3\rho = 10 ^ { 3 } \mathrm {~kg} \mathrm {~m} ^ { - 3 }

Coefficient of viscosity

Volume of water flowing out per second is

Reynolds number is given by

=5095>2000= 5095 > 2000

Thus, the flow will be turbulent.