Q.5. A wire of length 1 and area of cross-section A was drawn into a wire of double its length by melting
it. If its original resistivity and resistance were r and R respectively, what will be its new resistivity
and resistance ?
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Answer:
When a wire is doubled by melting, its length would become double and area of cross-section would be halved i.e., length of wire = 21 and area of cross-section = A / 2
Where R1 is the new resistance.
Therefore, the new resistance of the wire is 4 R. As resistivity of a material is the characteristic of a given material, hence it remains unchanged.
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