In the CGS unit system, “poise” is the unit of which fluid property?

Difficulty: Easy

Correct Answer: Viscosity (dynamic viscosity)

Explanation:


Introduction / Context:
Engineering data often report viscosities in different unit systems. Knowing whether a given unit refers to dynamic or kinematic viscosity prevents order-of-magnitude errors in Reynolds number and pressure-drop calculations.


Given Data / Assumptions:

  • CGS (centimetre–gram–second) system.
  • Dynamic viscosity μ and kinematic viscosity ν are distinct.


Concept / Approach:

Dynamic viscosity μ in CGS is measured in poise (P). Kinematic viscosity ν = μ/ρ has unit stoke (St) = cm^2/s. In practice, centipoise (cP) and centistoke (cSt) are frequently used (1 P = 100 cP; 1 St = 100 cSt).


Step-by-Step Solution:

Identify unit: 1 poise = 1 g/(cm·s).Relate to SI: 1 P = 0.1 Pa·s; 1 cP = 0.001 Pa·s.Water at ~20°C: μ ≈ 1 cP (0.001 Pa·s), ν ≈ 1 cSt.


Verification / Alternative check:

Dimensional breakdown: μ has units of shear stress divided by velocity gradient, which yields M L^-1 T^-1, consistent with g/(cm·s) in CGS.


Why Other Options Are Wrong:

(b) Velocity gradient has units s^-1, not poise. (c) Density has g/cm^3. (d) Kinematic viscosity uses stokes, not poise. (e) Surface tension uses dyn/cm.


Common Pitfalls:

Confusing cP and P (factor 100); mixing dynamic and kinematic viscosity when computing Reynolds number Re = V L / ν.


Final Answer:

Viscosity (dynamic viscosity)

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