Which of the following statements are correct about the electrical resistance and resistivity of a wire ? 1. Both quantities depend on the area of cross-section of the wire 2. Both depend on the temperature 3. Resistance of the wire is directly proportional to the resistivity of the wire 4. Resistivity of the wire is directly proportional to the length of the wire Select the correct answer using the code given below :

The relationship between electrical resistance (R) and resistivity (ρ) is defined by the formula R = ρ(L/A), where L is the length and A is the cross-sectional area of the wire.

• Statement 1 is incorrect: Resistance depends on the area of cross-section, but resistivity is an intrinsic property of the material and does not change with physical dimensions.
• Statement 2 is correct: Both resistance and resistivity vary with temperature. For metallic conductors, both typically increase as temperature rises.
• Statement 3 is correct: According to the formula R = ρ(L/A), resistance is directly proportional to the resistivity of the wire's material.
• Statement 4 is incorrect: Resistivity is independent of the length of the wire; it depends only on the nature of the material and temperature.

Since statements 2 and 3 are correct, Option C is the right answer.