Physics And Measurement Question 236

Question: Which one of the following represents the correct dimensions of the coefficient of viscosity?

Options:

A) $ [M{{L}^{-1}}{{T}^{-1}}] $

B) $ [ML{{T}^{-1}}] $

C) $ [M{{L}^{-1}}{{T}^{-2}}] $

D) $ [M{{L}^{-2}}{{T}^{-2}}] $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] From stokes law $ F=6\pi \eta rv\Rightarrow \eta =\frac{F}{6\pi rv} $
$ \therefore \eta =\frac{ML{{T}^{-2}}}{[L][L{{T}^{-1}}]}\Rightarrow \eta =[M{{L}^{-1}}{{T}^{-1}}] $



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