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}}] $
