The resistance of a conductor is directly proportional to:

Correct option is B

The correct answer is (B) Length of the conductor.
The resistance (R) of a conductor depends on its material, length, and cross-sectional area as given by the formula:
​$$R=ρ \frac{L}{A}$$​​
Where:
· R = Resistance
· ρ = Resistivity of the material
· L = Length of the conductor
· A = Cross-sectional area of the conductor
Key Details:
1. Direct Proportionality:
· Resistance is directly proportional to the length (L) of the conductor. If the length increases, the resistance increases.
2. Inverse Proportionality:
· Resistance is inversely proportional to the cross-sectional area (A). A larger area allows more current to flow, reducing resistance.
3. Material Dependency:
· The resistivity (ρ) depends on the conductor's material.
4. Incorrect Options:
· Potential difference applied across the conductor: Resistance is independent of the applied potential difference.
· Area of cross-section of the conductor: Resistance is inversely proportional to the area, not directly.
· Current flowing through the conductor: Resistance does not depend on the current.