The area of cross-section of a railway track is 0.01m^2. The temperature variation is 10^0C. Coefficient of linear expansion of material of track is 1 0^−5/^0C. The energy stored per meter in the tra…

Question

The area of cross-section of a railway track is 0.01m^2. The temperature variation is 10^0C. Coefficient of linear expansion of material of track is 1 0^−5/^0C. The energy stored per meter in the track is ____ J/m. (Young's modulus of material of track is 1 0^1 1N m^−2)

Accepted Answer

Correct answer: 5. (5) Elastic energy = Y2 ( strain )^2 Area length ⇒Elastic energy per unit length = Y2 ( strain )^2 Area ( strain= ll= T=10^-5 10=10^-4) = 10^112 (10^-4 )^2 10^-2=5J/m

$The area of cross-section of a railway track is 0. 01 m^{2} . The temperature variation is 1 0^{0} C. Coefficient of linear expansion of material of track is 1 0^{- 5} /^{0} C . The energy stored per meter in the track is ____ J/m. (Young's modulus of material of track is 1 0^{11} N m^{- 2})$

Solution

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