Physics - Unit & Dimension Question with Solution | TestHub

A river, while flowing, sweeps along with it few boulders (stones). Assume that the maximum mass m , of a boulder swept along by a river, depends on the speed $v$ of the river, the acceleration due to gravity $g$ and the density $\rho$ of the boulder. If $m={\mathrm{kv}}^{\mathrm{a}}{\mathrm{g}}^{\mathrm{b}}{\rho }^{\mathrm{c}}$ where k is some dimensionless constant, the value of $(a+b+c)$ is $\_\_\_\_$ .