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What should be the lengths of steel and ...

What should be the lengths of steel and copper rod so that the length of steel rod is 10 cm longer than the copper rod at all the temperatures. Coefficients of linear expansion for copper and steel are `alpha_(Cu)=1.7xx10^(-5)""^(@)C^(-1)andalpha_("steel")=1.1xx10^(-5)""^(@)C^(-1)`

Text Solution

Verified by Experts

`1_(st)-1_(cu)=10cmto(1)`
`(Delta1)_(St)=(Delta1)_(Cu)`
`1_(St)prop_(St)Deltat=1_(Cu)prop_(Cu)Deltat to(2)`
Solving (1) & (2) `I_(Cu)=18.3cm,I_(St)=28.3cm`
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