Question

Viscosity has dimension of

1. \(\frac{{FT^2}}{{L}}\)
2. \(\frac{{F}}{{TL^2}}\)
3. \(\frac{{M}}{{LT^2}}\)
4. \(\frac{{M}}{{LT}}\)

Answer 1

Correct Answer - Option 4 : \(\frac{{M}}{{LT}}\)

Concept:

Viscosity: The property that represents the internal resistance of a fluid to motion (i.e. fluidity) is called viscosity. There are two ways to write viscosities:

• Dynamic viscosity: This is also termed as absolute viscosity. A common unit of dynamic viscosity is poise.
• 1 poise = 0.1 Pa.s = 0.1 Ns/m2 = kg/ms
• Kinematic Viscosity: The ratio of dynamic viscosity to density appears frequently and this ratio is given by the name kinematic viscosity. Its unit is Stoke or m2/s (1 stoke = 0.0001 m2 /s).
• Viscosity is usually termed to denote dynamic viscosity.
• Unit of μ = \(\frac{kg}{ms}=\frac{M}{LT}=M^{1}L^{-1}T^{-1}\)