As per Newton's Law of Viscosity the shear stress acting between two layers of fluid is:

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  1. Directly proportional to the distance between them.
  2. Inversely proportional to the square of the distance between them
  3. Directly proportional to the square of the distance between them. 
  4. Inversely proportional to the distance between them.

Answer (Detailed Solution Below)

Option 4 : Inversely proportional to the distance between them.
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Detailed Solution

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Explanation:

Newton's law of viscosity:

  • Viscosity is a property of fluid by virtue of which they offer resistance to shear or angular deformation.
  • It is primarily due to cohesion and molecular momentum exchange between fluid layers, and as flow occurs, these effects appear as shearing stresses between the moving layers.
  • According to Newton's law of viscosity, shear stress is Inversely proportional to the distance between two layers of fluid.

\(τ\propto\frac{du}{dy}\)

\(τ=μ\frac{du}{dy}\)

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

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