Question

The unit of the coefficient of viscosity in S.I. system is:

• A. $m/kgs$
• B. $ms/k{g}^2$
• C. $kg/m{s}^2$
• D. $kg/ms$

Answer 1

The correct option is D $kg/ms$

We know that $\tau =\frac{F}{A}=\eta \frac{dV}{dZ}$

$\eta =\frac{F\times dZ}{A\times dV}$

$\eta =\frac{F\times dZ}{A\times dV}=\frac{(mass\times acceleration)\times \left(meter\right)}{\left({meter}^2\right)\times \left(\frac{meter}{{second}^2}\right)}=\frac{(kilogram\times \frac{meter}{{second}^2})\times \left(meter\right)}{\left({meter}^2\right)\times \left(\frac{meter}{second}\right)}=\frac{\left(kilogram\right)}{\left(meter\right)\times \left(second\right)}$