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Question

The area of cross-section of a railway track is 0.01 m2 . The temperature variation is 10 C. Coefficient of linear expansion of material of track is 105 /C. The energy stored per meter in the track is Jm1. (Young's modulus of material of track is 1011 Nm2)

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Solution

Elastic energy stored in the track=Y2(strain)2× Area × length

Elastic energy per unit length(E)=Y2(strain)2×Area

Here, (strain=Δll=αΔT=105×10=104)

E=10112×(104)2×102=5 Jm1

Correct answer: 5

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