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Current Electricity

Question

The resistance of a wire is 5 ohm at 50°C and 6 ohm at 100°C. The resistance of the wire at 0 °C will be

2 ohm

1 ohm

4 ohm

3 ohm

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Solution

4 ohm

5 over 6 space equals space fraction numerator 1 space plus 50 straight alpha over denominator 1 space plus 100 space straight alpha end fraction space 5 space equals space straight R subscript 0 space left parenthesis 1 space plus space straight alpha space straight x space 50 right parenthesis straight R subscript straight o space equals space 4