1 kg piece of copper is drawn into a wire 1 mm 2 thick- and another 1 kg copper piece into a wire 2 mm 2 thick- Compare the resistance of these wires-A- 2- 1B- 16- 1C- 8- 1D- 4- 1

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Factors Affecting Resistance and How They Affect

1 kg piece of...

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.

2:1

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4:1

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8:1

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16:1

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Solution

The correct option is B
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 = ρ $\frac{L}{A}$ , we get the resistance of the 1st wire is 4 times the value of resistance of the 2nd wire.

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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 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.