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What is the dimension of the dynamic viscosity (μ)?
- a)M-1L-1T-1
- b)MLT-2
- c)ML-1T-2
- d)ML-1T-1
Correct answer is option 'D'. Can you explain this answer?
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What is the dimension of the dynamic viscosity (μ)?a)M-1L-1T-1b)MLT...
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.
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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What is the dimension of the dynamic viscosity (μ)?a)M-1L-1T-1b)MLT...
Dimension of Dynamic Viscosity (μ)
Dynamic viscosity (μ) is a measure of a fluid's resistance to deformation under shear stress. It determines how easily a fluid flows. The dimension of dynamic viscosity is as follows:
Dimension: ML-1T-1
This means that the dimension of dynamic viscosity is Mass (M) divided by Length (L) multiplied by Time (T) to the power of -1. Therefore, the correct answer is option 'D' which represents the dimension of dynamic viscosity as ML-1T-1.
Dynamic viscosity (μ) is a measure of a fluid's resistance to deformation under shear stress. It determines how easily a fluid flows. The dimension of dynamic viscosity is as follows:
- M stands for mass
- L stands for length
- T stands for time
Dimension: ML-1T-1
This means that the dimension of dynamic viscosity is Mass (M) divided by Length (L) multiplied by Time (T) to the power of -1. Therefore, the correct answer is option 'D' which represents the dimension of dynamic viscosity as ML-1T-1.
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