Question

Resistivity of a conducting wire depends on:

• A. the length of the wire
• B. the resistance of the wire
• C. the material of the wire
• D. the thickness of the wire

Hint:

Resistivity is a material property and is independent of the length and thickness of the wire. The resistance depends on these factors, but resistivity does not.

Answer 1

The Correct Option is C

Resistivity (\( \rho \)) is a property of the material itself and does not depend on the shape or size of the wire. It is determined by the material through which the current flows. The formula for resistivity is: \[ R = \rho \frac{L}{A} \] where: - \( R \) is the resistance,
- \( \rho \) is the resistivity,
- \( L \) is the length of the wire,
D - \( A \) is the cross-sectional area of the wire.
Thus, resistivity depends on the material, and it does not change with the length or thickness of the wire.