A cylindrical conductor is made so that its resistance is independent of temperature. It is done by stacking layers of copper, carbon and nichrome as shown in figure. The length of each copper layer is 1 cm and sum of lengths of consecutive carbon and Nichrome Leyers is also 1 cm. find the length of each Nichrome segment. Given [`rho =` resistivity, `alpha =` temperature coefficient of resistivity]
`rho_(Cu) =1.7xx10^(-8) Omegam^(-1) ,rho_(C)=5xx10^(-5)Omegam^(-1)`
`rho_(Ni) =1xx10^(-6) Omegam^(-1) , alpha_(Cu)=3.9 xx 10^(-3) .^(@)C^(-1)`
`alpha_(C)=-5xx10^(-4) .^(@)C^(-1), alpha_(Ni)=4xx10^(-4) .^(@)C^(-1)`

Assume no change in dimensions of the segment due to temperature change.

Answer

0.98 cm