The given table shows information about two wires, X and Y that are made of the samematerial.Which of the following options is CORRECT for the resistance and resistivity of wires,X and Y?
Correct answer: A. Option A: Wire X has higher resistance but the same resistivity as Wire Y.
- A. Option A: Wire X has higher resistance but the same resistivity as Wire Y.
- B. Option B: Wire X and Wire Y have different resistivities.
- C. Option C: Wire X and Wire Y have the same resistance.
- D. Option D: Wire X has lower resistance but higher resistivity than Wire Y.
Explanation
The correct answer is Option A. Since both wires X and Y are made of the same material, they inherently have the same resistivity. Resistance, however, also depends on the length and cross-sectional area of the wire. If Wire X is stated to have higher resistance, it could be longer or thinner than Wire Y. Option B is incorrect because resistivity would not differ for wires of the same material. Option C is incorrect as the resistance of wires can vary with their physical dimensions despite having the same resistivity. Option D is incorrect because it claims different resistivities for the same material.
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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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