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Question

If a wire of resistance 1 ohm is stretched to double its length , then the resistance will become....???


Solution

Resistance= Resistivity x length/area

When the wire is stretched to double the length , the area of cross section gets reduced to half.

So

New Resistance = Resistivity x 2length/area/2

I.e,

New resistance = (Resistivity x area/length)x4

i.e, New resistance = Resistance x 4

So when the wire is stretched, the resistance multiplies by four times.

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