According to Newton, the viscous force act

Your Ultimate Guide to JEE & NEET Question Solutions

According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A\frac{{\Delta v}}{{\Delta z}}$ where $\eta $ is constant called coefficient of viscosity. The dimension of $\eta $ are

A

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

B

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

C

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

D

$[{M^0}{L^0}{T^0}]$

According to Newton, the viscous force acting between liquid layers of area $A$ and velocity gradient $\Delta v/\Delta z$ is given by $F = - \eta A\frac{{\Delta v}}{{\Delta z}}$ where $\eta $ is constant called coefficient of viscosity. The dimension of $\eta $ are

$F = - \eta A\frac{{\Delta v}}{{\Delta z}} \Rightarrow [\eta ] = [M{L^{ - 1}}{T^{ - 1}}]$

As $F = [ML{T^{ - 2}}],\,\,A = [{L^2}],\,\frac{{\Delta v}}{{\Delta z}} = [{T^{ - 1}}]$