Physics - Unit & Dimension Question with Solution | TestHub

By definition $$\begin{array}{rl}R& =\rho \frac{l}{A}\\ \Rightarrow \rho & =\frac{RA}{l}=\frac{\frac{V}{I}A}{l}=\frac{VA}{Il}\\ \therefore [\rho ]& =\frac{[V][A]}{[I][l]}\\ & =\frac{{\mathrm{ML}}^2{\mathrm{T}}^{-2}{\mathrm{L}}^2}{{\mathrm{AL}}^2}=\left[{\mathrm{ML}}^3{\mathrm{T}}^{-2}{\mathrm{A}}^{-1}\right]\end{array}$$