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Current Electricity

Question
CBSEENPH12039551

If a wire is stretched to make it 0.1% longer, its resistance will

  • increase by 0.2%

  • decreases by 0.2%

  • decrease by 0.05 %

  • increase by 0.05%

Solution

A.

increase by 0.2%

The resistance,
straight R space equals space ρl over straight A space equals space ρl squared over straight V
where comma space straight rho space equals space resistivity space and space straight V space equals space volume
therefore space fraction numerator increment straight R over denominator straight R end fraction space equals space 2 fraction numerator increment l over denominator l end fraction italic space italic equals italic space plus 0.2 percent sign

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