Steel bars each of length 3m at 28 C are to be ... - WAEC Physics 1997 Question
Steel bars each of length 3m at 28°C are to be used for constructing a rail line. If the linear expansitivity of the steel is 1 x \(10^{-5}K^{-1}\),what is the safety gap that must be left between the successive bars if the highest temperature expected is 40°C?
A
1.2x \(10^{-1}cm\)
B
7.2x\(10^{-1}cm\)
C
6x\(10^{-1}cm\)
D
3.6x\(10^{-1}cm\)
correct option: d
\(\alpha= \frac{\Delta{L}}{L_1\Delta\theta}; \Delta{L}=\alpha{L_1}\Delta\theta\Rightarrow 1.0\times 10^{-5}\times 3\times (40-28)= 3.6\times 10^{-2}\)
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