A blacksmith fixes iron ring on the rim of the wooden wheel of a bullock cart. The diameter of the rim and the ring are `5.243 m` and `5.231 m` respectively at `27^(@)C`. To what temperature should the ring be heated so as to fit the rim of the wheel ? Coefficient of linear expansion of iron =` 1.20 xx 10^(-5) K^(-1)`

Explanation

`d_(2)=d_(1)[1+alphaDeltat]`
`5.243=5231[1+1.2xx10^(-5)(T-30)]`
`[(5243)/(5231)-1]=1.2xx10^(-5)(T-300)`
`T=191+300=491k=218^(@)`C