A) \[nR\]
B) \[{{n}^{2}}R\]
C) 2nR
D) \[2{{n}^{2}}R\]
Correct Answer: B
Solution :
The resistance of a wire is directly proportional to the length of the wire. Thus, \[R\propto l,\] so the length increases n-fold also since the volume of the wire remains constant, so the area of the wire decreases n-fold. Hence the resistance increases to \[{{n}^{2}}R\]as the area is inversely proportional to resistance.
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