Physics - Unit & Dimension Question with Solution | TestHub

Viscous force acting on a spherical ball is given by $\mathrm{F}=6\pi \eta \mathrm{rv}$, where r is radius of the ball, v is the velocity of the ball & $\eta$ is coefficient of viscosity.Dimension formula of $\eta$ is given by$[\eta ]={\mathrm{M}}^{\mathrm{a}}{\mathrm{L}}^{-\mathrm{b}}{\mathrm{T}}^{-\mathrm{c}}$. Find the value of $\mathrm{a}+\mathrm{b}+\mathrm{c}$.