The area of cross-section of a railway track is 0.01 m^2. The temperature variation is 10 °C. Coefficient of linear expansion of material of track is…

Question

The area of cross-section of a railway track is 0.01 m^2. The temperature variation is 10 °C. Coefficient of linear expansion of material of track is 10^(-5) C-1∘. The energy stored per meter in the track is J m^(-1). (Young's modulus of material of track is 10^11 N m^(-2))

MARKS Content Team · Accepted Answer

Correct answer: 5. Elastic energy =Y/2(strain)^2× Area × length ⇒ Elastic energy per unit length =Y/2(strain)^2× Area (strain =(Δℓ)/(ℓ)=αΔT=10^(-5)×10=10^(-4)) =10^112×10-4^2×10^(-2)=5 J m^(-1)

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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 10-5 C-1∘. The energy stored per meter in the track is J m-1. (Young's modulus of material of track is 1011 N m-2)

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