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Units and Dimensions

The magnitude...

Question

The magnitude of summation of powers of $M, L, T$ and $A$ in dimensional formula of resistivity of a conductor is. Given $R = \frac{ρ l}{A}$ , where $ρ$ is the resistivity, $l$ is length and $A$ is area

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Solution

Resistivity $= \frac{resistance \times area}{length}$
$= \frac{M L^{2} T^{- 3} A^{- 2} \times L^{2}}{L} = [M L^{3} T^{- 3} A^{- 2}]$

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