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The area of cross-section of railway track is 0.01 m^(2). The temperature variation is 10^(@)C. Coefficient of linear expansion of steel =10^(-5)//""^(@)C. (Young's modulus of steel = 10^(11) Nm^(-2)). Calculate the energy stored per meter in the track.

Answer» <html><body><p></p>Solution :<a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> `alpha`= Coefficient of <a href="https://interviewquestions.tuteehub.com/tag/linear-1074458" style="font-weight:bold;" target="_blank" title="Click to know more about LINEAR">LINEAR</a> expansion. <br/> `:.` Elastic energy `=(1)/(2) xx "stress " xx "strain " xx "volume"` <br/> or `U= (1)/(2) xx (Y xx "strain") xx` strain `xx` volume <br/> or `U= (1 xx Y xx ("strain")^(2) xx "volume")/(2)` <br/> `alpha= (l)/(L xx t) = ("strain")/(t)` <br/> `:. alpha= ("<a href="https://interviewquestions.tuteehub.com/tag/change-913808" style="font-weight:bold;" target="_blank" title="Click to know more about CHANGE">CHANGE</a> in <a href="https://interviewquestions.tuteehub.com/tag/length-1071524" style="font-weight:bold;" target="_blank" title="Click to know more about LENGTH">LENGTH</a>")/("original length" xx "temperature change")` <br/> or strain `= alpha t` <br/> `:. U = (Y xx alpha^(2) t^(2) xx ("<a href="https://interviewquestions.tuteehub.com/tag/area-13372" style="font-weight:bold;" target="_blank" title="Click to know more about AREA">AREA</a>" xx "length"))/(2)` <br/> or `U= (10^(11)xx (10^(-5))^(2) xx (10)^(2) xx 0.01xx 1)/(2) = 5J` <br/> `:.` Energy stored `=5J`</body></html>


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