Chemistry - Electrochemistry Question with Solution | TestHub

The resistance $R$ of a conductor is given by the formula:

$R=\rho \frac{L}{A}$

where $\rho$ is the resistivity, $L$ is the length, and $A$ is the cross-sectional area.

Rearranging the formula for resistivity, we get:

$\rho =\frac{RA}{L}$

Substituting the SI units for resistance ($\Omega$), area (${\mathrm{m}}^2$), and length ($\mathrm{m}$):

Unit of $\rho =\frac{\Omega \times {\mathrm{m}}^2}{\mathrm{m}}=\Omega \mathrm{m}$

Answer: $\Omega \mathrm{m}$