Railway lines are laid with gaps to allow for expansion. If the gap be

1.	Railway lines are laid with gaps to allow for expansion. If the gap between steel rails 66 m long be 3at 10 Â°c, then at what temperature will the lines just touch? Coefficient of linear expansion ofsteel is 11 x 10-6 Â°C1.
Answer» One railway line should be extended by 3.36/2 = 1.68 cm = 0.0168 m Let at temperatureT2lines just touch . Here ,L1=66m,T1=10°CCoficientoflinearexpansion(α)=11×10−6C−1L2=66m+0.0168m=66.0168mL2=L1[1+α(T2−T1)]66.0168=66[1+(11×10−6)(T2−10)]66.016866=1+(11×10−6)(T2−10)66.016866−1=(11×10−6)(T2−10)0.016866=(11×10−6)(T2−10)0.0168×10666×11=(T2−10)16800726+10=T223.14+10=T2Thetemperatureatwhichtherailsjustis23.14°C

Railway lines are laid with gaps to allow for expansion. If the gap between steel rails 66 m long be 3at 10 Â°c, then at what temperature will the lines just touch? Coefficient of linear expansion ofsteel is 11 x 10-6 Â°C1.

Answer»

One railway line should be extended by 3.36/2 = 1.68 cm = 0.0168 m

Let at temperatureT2lines just touch . Here ,L1=66m,T1=10°CCoficientoflinearexpansion(α)=11×10−6C−1L2=66m+0.0168m=66.0168mL2=L1[1+α(T2−T1)]66.0168=66[1+(11×10−6)(T2−10)]66.016866=1+(11×10−6)(T2−10)66.016866−1=(11×10−6)(T2−10)0.016866=(11×10−6)(T2−10)0.0168×10666×11=(T2−10)16800726+10=T223.14+10=T2Thetemperatureatwhichtherailsjustis23.14°C

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Railway lines are laid with gaps to allow for expansion. If the gap between steel rails 66 m long be 3at 10 Â°c, then at what temperature will the lines just touch? Coefficient of linear expansion ofsteel is 11 x 10-6 Â°C1.

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