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?
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18
Answer:
35.4°C
Explanation:
Length of the iron rod = 20 m = 2000 cm
Temperature = 18 °C
Distance 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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