What is the dimension of dynamic viscosity of fluid?

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DDA JE Civil 29 Mar 2023 Shift 2 Official Paper
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  1. MLT-2
  2. M-1L-1T-1
  3. ML-1T-2
  4. ML-1T-1

Answer (Detailed Solution Below)

Option 4 : ML-1T-1
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Detailed Solution

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Explanation:

According to Newton's law of viscosity, shear stress is directly proportional to the rate of angular deformation (shear strain) or velocity gradient across the flow.

where, τ = shear stress, μ = absolute or dynamic viscosity, du/dy = velocity gradient ⇒ dα/dt = rate of angular deformation (shear-strain).

Units of Dynamic viscosity:

∴ the unit of dynamic viscosity in SI unit is Ns/m2 or Pa-s.

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