তাপীয় সূত্র

A surveyor uses a steel tape that is exactly 50 m long at a temperature of 20°C.What is the length on a hot summer day when the temperature at 35°C.[Cofficeant of linear expression of steel is 1.2×10-5 mk-1]

IUT 14-15

L=L0(1+αt)L20=L0(1+1.2×105×(20+273))L0=49.825L35=L0(1+1.2×105×(35+273))=50.009 m \begin{aligned} L & =L_{0}(1+\alpha t) \\ L_{20} & =L_{0}\left(1+1.2 \times 10^{-5} \times(20+273)\right) \\ L_{0} & =49.825 \\ L_{35} & =L_{0}\left(1+1.2 \times 10^{-5} \times(35+273)\right) \\ & =50.009 \mathrm{~m}\end{aligned}

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