If a metallic conductor of resistance R is cut into three equal parts, then the resistance of each part will become

Correct answer: A. R/3

  • A. R/3
  • B. R
  • C. 3R
  • D. R - 3

Explanation

When a metallic conductor of resistance R is cut into three equal parts, the length of each part becomes one-third of the original length. Since resistance is directly proportional to the length of the conductor (R ∝ L), the resistance of each part becomes R/3. Option A is correct because it accurately represents the change in resistance. Option B is incorrect because it suggests no change in resistance. Option C is incorrect because it implies an increase in resistance, which doesn't occur in this scenario. Option D is incorrect and nonsensical in the context of how resistance behaves when a conductor is divided.

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About Resistance and Resistivity

Resistance measures opposition to current in a conductor and follows R = V/I for an ohmic conductor, while resistivity is an intrinsic property of the material. Questions use R = ρL/A, examine effects of length, cross-sectional area and temperature, and distinguish resistance, resistivity, conductance and conductivity.

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