MHT CET 2023 Physics question

A fluid of density ' ' and viscosity ' ' is flowing through a pipe of diameter 'd', with a velocity 'v'. Reynold number is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Reynolds number is the dimensionless ratio of inertial to viscous forces: , where is the pipe diameter. This matches option (b). Check by dimensions: $ρ v d = kg m^{-3}·m s^{-1}·m = \text{kg

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Question ID VK-094512