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Select the correct pairs from the following options.
Resistance - volt/ampere (b) Resistivity - ohm
Resistance - ampere metre (b) Resistivity - volt/metre
Resistance - ohm (b) Resistivity - volt/metre
Resistance - ohm (b) Resistivity - ohm metre
Resistance - ohm (b) Resistivity - ohm metre
Recall Ohm's Law (V = IR, so R = V/I) and the definition of resistivity (╧Б = RA/L).
Recall Ohm's Law (V = IR, so R = V/I) and the definition of resistivity (╧Б = RA/L).
Analyze Resistance
According to Ohm's Law, R = V/I. Since V (potential difference) is in Volts and I (current) is in Amperes, the unit for Resistance is Volt/Ampere, which is defined as Ohm.
Analyze Resistivity
Resistivity (╧Б) is defined by the formula ╧Б = RA/L. Substituting units: Ohm ├Ч (metre┬▓ / metre) = Ohm┬╖metre. Thus, the SI unit for resistivity is Ohm metre.
A: Incorrect because resistance is not measured in ampere metre. B: Incorrect because resistivity is measured in ohm metre, not just ohm. C: Incorrect because resistivity is not measured in volt/metre.
D is correct because Resistance is defined as Volt/Ampere (Ohm) and Resistivity is defined as Ohm metre.
Always verify dimension formulas (like R = V/I and ╧Б = RA/L) to derive correct units if you forget them during the exam.
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