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A rod of steel is 5m long and 3cm diamet...

A rod of steel is `5m` long and `3cm` diameter at a tempearatyre if `20^(@)C`. Find the free expansion of the rod when the temperature us raused ti `65^(@)C`. Find the respective pulls exerted if `(i)` the ends do not yield and `(ii)` the ends yield by `0.12 cm. Y = 2 xx 10^(5) MN // m^(2)` and `alpha = 12 xx 10^(6)` per `^(@)C`

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