Question

Coefficient of viscosity (η ) of the liquid depends upon the-
1. Area of the layer in contact
2. Velocity gradient between two layers
3. Both area of layer in contact and velocity gradient between two layers
4. Nature of the fluids

Answer 1

Correct Answer - Option 4 : Nature of the fluids

option(4)

CONCEPT:

• Coefficient of Viscosity (η): The tangential viscous force required to maintain the unit velocity gradient between its two parallel layers each of unit area is called the coefficient of viscosity.

EXPLANATION:

•  The coefficient of viscosity (η) of a fluid can be defined as the ratio of shearing stress to the strain rate.

η =\(\frac{F/A}{v/x}\) where v/x is dx.x/t ( velocity = dx/dt) = \(\frac{ Shearing stress}{Shear Strain/t} \)

• Coefficient of Viscosity is a constant term which only depends on the nature of the fluids and gives measures of viscosity
• Shearing Stress is the internal restoring force set up per unit area of cross-section of the deformed body is called stress.
• Shearing Strain the ratio of change in length to the original length.