A wire of resistance R is stretched to double its original length. Assuming that the density and resistivity of the material remain unchanged, what will be the new resistance of th... A wire of resistance R is stretched to double its original length. Assuming that the density and resistivity of the material remain unchanged, what will be the new resistance of the wire?
Understand the Problem
The question asks about the new resistance of a wire when its length is doubled, assuming constant density and resistivity. Since the volume of the wire must remain constant during stretching, the cross-sectional area changes as the length changes. We need to relate the resistance to the length and area of the wire, and use the constant volume condition to find the new resistance in terms of the original resistance.
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