Dimension of kinetic viscosity is

  1. [ ML-1T-1]
  2. [LS-1]
  3. [L2S-1]
  4. [L2S1]

Answer (Detailed Solution Below)

Option 3 : [L2S-1]
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Detailed Solution

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Explanation:

Viscosity: It is a property of a fluid to oppose relative motion between its layer.

  • The coefficient of viscosity is “η“ and dimension is [ ML-1T-1]

Kinetic Viscosity: It is a measure of the inherent resistance of a fluid to flow when no external force is acted except gravity. It is the ratio of the coefficient of viscosity to the fluid mass density.

Kinetic Viscosity = coefficient of viscosity / fluid mass density

Kinetic viscosity (ν) = η/ρ

Where, ρ = Density

The unit of kinematic viscosity is m2/s.

Therefore, the dimension of kinetic viscosity = [M0L2S-1]

= [L2S-1]

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