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Q.

The resistivity of a wire varies with:


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a

Length

b

Cross-section

c

Mass

d

Material 

answer is D.

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Detailed Solution

Concept: An item that cannot produce its own light is said to be non-luminous. A material's property is its resistivity. The concepts of resistance and resistivity are totally unrelated. Resistance varies with area, length, and material type. Unlike resistance, where resistivity is just a proportionality constant.
We need first to understand resistivity so that we can address the issue. Specific resistivity is another name for resistance. A conductor's resistance at a given temperature is influenced by its length, cross-sectional area, and material composition.
We can observe that the resistance is inversely proportional to the area of the cross section (A) and directly proportional to the length of the conductor (l).
Question ImageQuestion ImageWhere, Question Image is the proportionality constant known as resistivity of a conductor. The S.I. unit of resistivity is Question Image. We can obtain the expression for resistivity as,
Question ImageThis allows us to define resistivity as the resistance of a wire made of a certain material with a given length and unit cross-sectional area. Only the material has an impact on resistivity. As a result, even if two materials have the same size, their resistivity will differ.
Temperature is the sole variable on which a material's resistivity depends.
Hence, the correct option is 4.
 
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