Gap between us......
The length of a rail is 10m and that of another is 20m.The coefficient of linear expansion
of steel is 0.000012/°C and the variation in temperature at the given place is 15°C.Find the gap that should be provided between the rails to allow the expansion in summer.
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1 solution
L2-L1=L1αΔt Whenever a rod is heated it expands in all directions.It expands equally to the left as well as the right. Effective length of AB for plugging the gap BP=AB/2=10/2=5m. Effective length of PQ for plugging the gap PB=PQ/2=10m. Total available length for plugging the gap=10+5=15m=L1. L2-L1=L1αΔt=15x0.000012x15=0.0027m=2.7 mm.