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| 1. |
Railway lines are laid with gaps to allow for expansion. If the gap between steel rails 66 m long is 3.63 cm at 10 degree celsious then at what temperature will the lines just touch |
| Answer» LWAY line should be EXTENDED by 3.36/2 = 1.68 CM = 0.0168 mLet at temperature T2 lines just touch . Here , L1=66 m , T1= 10°C Coficient of LINEAR expansion (α) =11×10−6C−1L2=66 m +0.0168 m=66.0168 mL2=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=T2The temperature at which the rails just is 23.14°C | |