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If the length of a conductor is tripled, keeping other factors same, the resistance of the conductor will be:
One-sixth
Tripled
One-third
Same
Tripled
Effect on Conductor Resistance when Length is Tripled
R=ρAL⟹R′=3R
Keeping area and temperature constant, doubling length doubles resistance, and tripling length triples resistance.
Resistance becomes 3 times the original.
Resistance Formula
The electrical resistance R of a uniform conductor is directly proportional to its length L and inversely proportional to its cross-sectional area A: R=ρAL
R∝L
Calculate New Resistance
R′=ρA3L=3(ρAL)=3R Therefore, the resistance becomes tripled.
Resistance is tripled
Option B is correct — tripled
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