Which of the following quantities affects the electrical resistivity of a given metallic wire?​

Correct option is B

The correct answer is (B) Nature of the material of the wire.

The electrical resistivity of a metallic wire is affected by the nature of the material and the temperature of the conductor. 

Explanation

• The resistivity of a material is an intensive property, meaning it doesn't depend on the amount of material or the size of the system. It's a material property that depends only on the temperature and the material. 
• The resistivity of a material is determined by the number of free electrons per unit volume, also known as the number density of free electrons. The density of free electrons varies between different types of materials. 

The resistance of a wire is affected by several factors, including: 

• Temperature: When a wire is heated, its resistance increases.
• Length: Longer wires have higher resistance than shorter ones.
• Cross-sectional area: Thicker wires have lower resistance than thinner wires.

The resistance of a metallic wire is directly proportional to its resistivity and length, and inversely proportional to its cross-sectional area. The formula for this is$$R={ρ}\frac{L}{A}$$​where (R) is the resistance, (ρ) is the resistivity, (L) is the length, and (A) is the cross-sectional area.