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 at `0^@C R_0 = 10 Omega`
`{:("Boiling point of"),("water - Temperature T"):}} = 100^@ C`
`{:("Temperature coefficient"),("of resistance "alpha):}} = 0.004 //^@C`
Required Resistance `R_T = R_0 (1 + alpha T)`
`R_(100) = 10 [1 + 0.004 xx 100]`
` = 10 [ 1 + 0.4 ]`
` = 10 xx1.4`
`R_(100 ) = 14 Omega`
`:." R"_T = 14 Omega`