Correct Answer - Option 3 : 0.05 cm
Concept:
Newton law of viscosity:
Newton's formula for the viscous force between two parallel layers is given by:
\(\rm{F =η A \frac {dv}{dy}}\)
Calculation:
Given:
Here A = 100 cm2 , η = 0.01 poise ,dv = 10 cms-1, dy =?
On putting the value of the above we get
\(\rm{F =η A \frac {dv}{dy}}\) ⇒ \(\rm{dy=\frac{\eta Adv}{F}}=\rm{\frac {0.01 \;\times \;100 \;\times\; 10}{200}=0.05~ cm}\)
Hence, the distance will be 0.05 cm.
- The coefficient of viscosity(η ) of a fluid can be defined as the ratio of shearing stress to the strain rate.
Coefficient of Viscosity.
η =\(\frac{F/A}{v/x}\) where v/x is dx/x.dt ( velocity = dx/dt) = \(\frac{ Shearing stress}{Shear Strain/t} \)
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Shearing Stress is the internal restoring force set up per unit area of cross-section of the deformed body is called stress.
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Shearing Strain the ratio of change in length to the original length.