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What is the dimensions of kinematic viscosity of a fluid?
- a)LT-2
- b)L2T-1
- c)ML-1T-1
- d)ML-2T-2
Correct answer is option 'B'. Can you explain this answer?
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What is the dimensions of kinematic viscosity of a fluid?a)LT-2b)L2T-1...
v = m2/s = L2T-1
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What is the dimensions of kinematic viscosity of a fluid?a)LT-2b)L2T-1...
Dimensions of Kinematic Viscosity
Kinematic viscosity is a measure of a fluid's resistance to flow under the influence of gravity. It is defined as the ratio of dynamic viscosity to density. The dimensions of kinematic viscosity can be derived by analyzing its formula:
Formula:
Kinematic viscosity = Dynamic viscosity / Density
1. Dynamic Viscosity (μ):
Dynamic viscosity has dimensions of ML-1T-1 (Mass Length^-1 Time^-1). It represents the internal friction of a fluid and is measured in units like Pascal-second (Pa·s) or poise (P).
2. Density (ρ):
Density has dimensions of ML-3 (Mass Length^-3). It represents the mass per unit volume of a substance and is measured in units like kg/m3 or g/cm3.
Derivation:
By substituting the dimensions of dynamic viscosity and density into the formula for kinematic viscosity, we get:
Kinematic viscosity = (ML-1T-1) / (ML-3)
Kinematic viscosity = L2T-1
Therefore, the dimensions of kinematic viscosity of a fluid are L2T-1 (Length^2 Time^-1), which is represented in units like m2/s or cm2/s.
Kinematic viscosity is a measure of a fluid's resistance to flow under the influence of gravity. It is defined as the ratio of dynamic viscosity to density. The dimensions of kinematic viscosity can be derived by analyzing its formula:
Formula:
Kinematic viscosity = Dynamic viscosity / Density
1. Dynamic Viscosity (μ):
Dynamic viscosity has dimensions of ML-1T-1 (Mass Length^-1 Time^-1). It represents the internal friction of a fluid and is measured in units like Pascal-second (Pa·s) or poise (P).
2. Density (ρ):
Density has dimensions of ML-3 (Mass Length^-3). It represents the mass per unit volume of a substance and is measured in units like kg/m3 or g/cm3.
Derivation:
By substituting the dimensions of dynamic viscosity and density into the formula for kinematic viscosity, we get:
Kinematic viscosity = (ML-1T-1) / (ML-3)
Kinematic viscosity = L2T-1
Therefore, the dimensions of kinematic viscosity of a fluid are L2T-1 (Length^2 Time^-1), which is represented in units like m2/s or cm2/s.
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What is the dimensions of kinematic viscosity of a fluid?a)LT-2b)L2T-1c)ML-1T-1d)ML-2T-2Correct answer is option 'B'. Can you explain this answer?
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