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Question

1 kg piece of copper is drawn into a wire 1 mm2 thick, and another 1 kg copper piece into a wire 2 mm2 thick. Compare the resistance of these wires.


  1. 2:1

  2. 16:1

  3. 8:1

  4. 4:1


Solution

The correct option is D

4:1


The volume of wire = length x Cross-sectional Area.

Since, the volume is same in both the cases, the length of the second wire will be half of the length of 1st wire.

Using R = ρLA, we get the resistance of the 1st wire is 4 times the value of resistance of the 2nd wire.

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