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Q.

On which of the following factors is the resistivity of a given metallic wire dependent?


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a

Its length

b

Its shape

c

Its thickness

d

Nature of the material 

answer is D.

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Detailed Solution

The resistivity of a given metallic wire depends on the nature of the material.
It is known that “the resistance (R) of the wire is directly proportional to length of the wire(l) and the resistivity (ρ) of the material. It is inversely proportional to the area of the cross-section (A).” Mathematically,
R=ρlA
Here, resistivity (ρ) is constant, and it only depends on the nature of the material and temperature, not on length and area.
 
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