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A bridge is made from 20 m long iron rods. At temperature 18 °C, the distance between two rods is 0.4 cm. Up to what temperature will the bridge be in good shape?

Answer»

35.4°CExplanation:Length of the iron rod = 20 m = 2000 cm TEMPERATURE = 18 °CDistance between length of the two RODS = 0.4 cm Temperature coefficient of linear expansion of an iron = 11.5 × 10`−6C`−1 Let at temperature be =T when both the rods expand by 0.2 cm ( The total expansion being 0.4 cm ) According to the FORMULA for linear expansion of solids -Δl/l = a1Δt= 0.4/2000 = 11.5 × 10`−6 ×(T`−16)T = 18 + 0.4/2000 × 11.5 × 10`−6= 35.4°Therefore, the temperature will the BRIDGE be in good shape upto 35.4°C.



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