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Question: Answered & Verified by Expert
The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be _____ %
PhysicsCurrent ElectricityJEE MainJEE Main 2022 (25 Jun Shift 2)
Solution:
1337 Upvotes Verified Answer
The correct answer is: 300

As volume is constant, so, length doubled and area reduces to half.

Resistance of a wire is given by R=ρlA, where, ρ is resistivity of a material.

Here, R1=ρlA and R2=ρ2lA2=4R

So percentage increase in the resistance will be =4R-RR×100%=300%

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