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A blacksmith fixes iron ring on the rim of the wooden wheel of a bulkock 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)` |
Answer» Here, `L_(T_1) = 5.231 m`, `L_(T_2) = 5.243 m, T_(1) = 27^(@)C , T_(2) = ?` As `alpha = (L_(T_2)-L(T_1))/(L_(T_1) xx alpha) + T_(1)` `=(5.243 - 5.231)/(5.231 xx 1.2 xx 10^(5)) + 27` `= 191.1 + 27 = 218. 1 ~~ 218^(-1) C` |
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