Two rods of equal cross-sections, one of copper and the other of steel are joined to from a composite rod of length `2.0m` at `20^(@)C` the length of the copper rod is `0.5m`. When the temperature is raised to `120^(@)C`, the length of composite rod increases to `2.002m`. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the length of the component rod also do not change with increase in temperature. Calculate the Young's modulus of steel. Given Young's modulus of copper `= 1.3xx10^(11) N//m^(2)` the coefficient of linear expansion of copper `alpha_(C) = 1.6xx10^(-5)//.^(@)c`

Answer

`Y_(s) =2.6xx10^(11) N//m^(2) alpha_(s) =0.8xx10^(-5)//.^(@)C`