What is the unit of specific resistance?
- (a)Coulomb
- (b)Ampere
- (c)Ohm meter
- (d)Farad
Answer
Why
Correct — C. Specific resistance is another name for resistivity, the constant in R = ρL/A.
Rearrange for ρ: ρ = RA/L
Units: ohm × m² ÷ m
= ohm metre (Ω·m)
The extra metre is the whole point. Resistance belongs to a particular piece of wire and changes with its length and thickness; resistivity belongs to the material and does not.
Why the others are wrong
- (a)Coulomb — The coulomb is the unit of electric charge, one ampere flowing for one second. It measures how much charge passed, not how strongly a substance opposes current.
- (b)Ampere — The ampere measures current, the rate of flow of charge, and is an SI base unit. Resistivity is a property of the material, not of the current in it.
- (d)Farad — The farad is the unit of capacitance, one coulomb stored per volt. It describes a capacitor, not a material's opposition to current.
Concept
Resistance belongs to an object; resistivity belongs to a substance.
Take two copper wires, one twice as long as the other. The longer wire has twice the resistance, but both have exactly the same resistivity.
That is why R = ρL/A carries the geometry — length L and cross-sectional area A — while ρ carries only the material.
The reciprocal of resistivity is conductivity, measured in siemens per metre. Resistivity of a metal rises as it gets hotter; for a semiconductor it falls.
Key facts
- Resistivity, also called specific resistance, has the SI unit ohm metre, written as ohm·m.
- R = ρL/A, so resistance depends on the sample's length and cross-section while resistivity does not.
- Conductivity is the reciprocal of resistivity and is measured in siemens per metre.
- Metals become more resistive when heated, while semiconductors become less resistive.
Study next
Common traps
- Answering 'ohm' from habit — the stem asks for specific resistance, which carries an extra metre.
- Expecting resistivity to change when you cut the wire shorter.
Unit-naming is asked as a bare one-line fact.
The SI unit of current is asked on 13 Sep 2024, 16:00, GA Q.11, the unit of optical power of a lens on 11 Sep 2024, 12:30, GA Q.13, and a which-is-NOT-a-unit-of-energy item on 19 Sep 2024, 09:00, GA Q.15.
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