To solve the problem, we need to understand the SI unit of resistivity.
1. Formula for Resistivity:
Resistivity ($\rho$) is defined as the resistance of a material per unit length and per unit cross-sectional area. The formula for resistivity is:
$ \rho = R \times \frac{A}{L} $
where $R$ is the resistance, $A$ is the cross-sectional area, and $L$ is the length.
2. SI Unit of Resistivity:
The unit of resistance is ohms ($\Omega$), the unit of length is meters (m), and the unit of area is square meters (m²). Hence, the SI unit of resistivity is:
$ \Omega \cdot \text{m} $
Final Answer:
The SI unit of resistivity is $ {\Omega \cdot \text{m}} $