Q.

Railway lines are laid with gaps to allow for expansion. If the gap between the steel rails 66m long be 3.63cm at 10C, then the temperature in  C    at which the lines touch (given coefficient of linear expansion for steel α=11×106   0C1 )

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answer is 60.

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Detailed Solution

Δl=lαΔt    3.63=66×102×11×106×(t210) t210=3.6366×11×104=363×10066×11=50 t=600C

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Railway lines are laid with gaps to allow for expansion. If the gap between the steel rails 66m long be 3.63cm at 10∘C, then the temperature in  C  ∘  at which the lines touch (given coefficient of linear expansion for steel α=11×10−6   0C−1 )