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Physics
Dimensional Analysis
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What is the dimensional formula for kinematic viscosity?
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L^-2 T^−2
LT^−2
L^2T^2
L^2 T^-1
Solution:
Step 1: Understand that kinematic viscosity (K) is defined as the ratio of dynamic viscosity to density. Step 2: Recall that dynamic viscosity has dimensions of ML^-1T^-1 and density has dimensions of ML^-3. Step 3: Derive the dimensions of kinematic viscosity: K = dynamic viscosity / density = (ML^-1T^-1) / (ML^-3) = L^2T^-1. Step 4: Confirm that the correct answer matches the derived dimensions.
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