The expression for the resistivity of a substance is.

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v = \frac{i}{R}

ρ = \frac{R \times A}{l}

R = \frac{A \times L}{v}

ρ = \frac{A \times l}{R}

answer is B.

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Detailed Solution

Resistivity, also known as specific resistance, is a fundamental property of a material that measures how strongly it resists electric current. It is represented by (rho). The SI unit of resistivity is

Ωm

. The resistivity of a substance is numerically the same as the resistance of rod of that substance which is

1 metre

long and

1 square metre

in the cross-section of a conductor.
The formula for resistivity is,
Resistivity

(ρ) = \frac{R \times A}{l}

Where,
R= resistance of the conductor
A= area of cross-section of the conductor
l = length of the conductor
The resistivity of a substance is independent of its thickness or length. Instead, it depends on temperature and the nature of the substance.

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