Which one of the following correctly represents the SI unit of

Which one of the following correctly represents the SI unit of resistivity?

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$Omega$

$Omega$/m

$Omega$ cm

$Omega$ m

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Answer is Wrong!

This question was previously asked in

UPSC NDA-1 – 2022

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The correct SI unit of resistivity is Ohm meter ($\Omega$ m).

Resistivity ($\rho$) is an intrinsic property of a material that quantifies how strongly it resists electric current. It is related to resistance ($R$), length ($L$), and cross-sectional area ($A$) of a conductor by the formula $R = \rho \frac{L}{A}$.

Rearranging the formula, $\rho = \frac{R \times A}{L}$. Substituting the SI units: $R$ is in Ohms ($\Omega$), $A$ is in square meters (m²), and $L$ is in meters (m). Therefore, the unit of resistivity is $\frac{\Omega \times \text{m}^2}{\text{m}} = \Omega \text{ m}$.

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