Question
What is the dimension of coefficient of viscosity?
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Answer
We know that $F =-\eta A \frac{d v}{d x}$
where $\eta$ is the constant of proportion. This is called coefficient of viscosity. Its value is depend on the nature of the liquid. For its dimension \[ \begin{array}{l} \eta=\frac{F}{A \cdot \frac{d v}{d z}}=\frac{\text { Force }}{\text { Area } \times \frac{\text { Velocity }}{\text { Distance }}} \\ \eta=\frac{MLT^{-2}}{L^2 \times LT^{-1}} \times L=ML^{-1} T^{-1} \end{array} \] In CGS system unit of coefficient of viscosity is gm per cm per second. It can also he called poise.
where $\eta$ is the constant of proportion. This is called coefficient of viscosity. Its value is depend on the nature of the liquid. For its dimension \[ \begin{array}{l} \eta=\frac{F}{A \cdot \frac{d v}{d z}}=\frac{\text { Force }}{\text { Area } \times \frac{\text { Velocity }}{\text { Distance }}} \\ \eta=\frac{MLT^{-2}}{L^2 \times LT^{-1}} \times L=ML^{-1} T^{-1} \end{array} \] In CGS system unit of coefficient of viscosity is gm per cm per second. It can also he called poise.
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