Q66 / 90 · JEE Main 2022 (26 Jun Shift 2) · Physics

If p is the density and η is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter d, the correct formula for Reynolds number Re is

  • A
    Re=πdρv
  • B
    Re=ρvηd
  • Correct answer
    C
    Re=ρvdη
  • D
    Re=ηρνd

Solution

Reynolds number is given by, Re=ρvdη, where, v=flow velocity, d=hydraulic diameter of the pipe, ρ=density of the fluid & η=coefficient of viscosity of the fluid.

Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

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

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