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Q17 (CDS-I/2026) Science & Technology › Basic Science (Physics, Chemistry, Biology)

Which one among the following statements regarding the electrical resistivity of a conducting wire is correct ?

Result
Your answer: —  ·  Correct: C

Explanation

Electrical resistivity (ρ) is an intrinsic property of a material that measures its ability to oppose the flow of electric current. It is distinct from electrical resistance (R) in the following ways:

  • Resistance (R): Depends on the dimensions of the conductor. It is directly proportional to length (L) and inversely proportional to the cross-sectional area (A), as shown in the formula R = ρ(L/A).
  • Resistivity (ρ): Depends only on the nature of the material and its temperature. It does not change with the physical dimensions (length or area) of the wire.

Since resistivity is a characteristic property of the substance itself, it remains the same if the length or cross-sectional area of the wire is modified, provided the material and temperature remain constant. Thus, statement C is correct.

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