The resistance of a nichrome wire at `0^(@)C` is `10Omega`. If its temperature coefficient of resistance is `0.004//^(@)C` find its resistance at boiling point of water. Comment on the result.

Explanation

Resistance of a nichrome wire at `0^(@)C, R_(0)=10Omega`
Temperature co-efficient of resistance, `alpha=0.004//^(@)C`
Resistance at boiling point of water, `R_(T)=?`
Temperature of boiling point of water, `T=100^(@)C`
`R_(T)=R_(0)(1+alphaT)=10[1+(0.004xx100)]`
`R_(T)=10(1+0.4)=10xx1.4`
`R_(T)=14Omega`
As the temperature increases the resistance of the wire also increases.