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Q.

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 . The energy stored per meter in the track is _______J/m. (Young's modulus of material of track is 1011 Nm-2 )

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answer is 5.

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Detailed Solution

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Elastic energy =Y2(strain)2 ×Area×length

⇒Elastic enrgy per unit length =Y2(strain)2 ×Area

strain=∆ll=α∆T=10-5×10=10-4

Elastic enrgy per unit length =10112×10-42×10-2=5J/m

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