The resistance of a wire is ‘R’ ohm. If it is melted and stretched to ‘n’ times its original length, its new resistance will be

nR

R/n

n²R

R/n²

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Solution

n²R

straight R subscript 2 over straight R subscript 1 space equals space fraction numerator begin display style straight I subscript 2 superscript 2 end style over denominator straight I subscript 1 superscript 2 end fraction space equals space fraction numerator straight n squared straight I subscript 1 superscript 2 over denominator straight I subscript 1 superscript 2 end fraction straight R subscript 2 over straight R subscript 1 space equals space straight n squared straight R subscript 2 space equals space straight n squared straight R subscript 1

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