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A thin copper wire of length l. increase in length by 1% when heated frorn temperature T1 to T2. What isthe percentage change in area when a thin copper plate having dimensions 21. x I. is heated from T, to T?レイA) 1%(B) 2%(C) 3%(D)4% |
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Answer» See, suppose we have l* as the initial length and l being the final lengthHence, l=l* x (1+αΔt);where Δt= t2-t1 and α=coefficient of linear expansionor, l=l* + l* x αΔtor, (l-l*)/l*=αΔt=1/100So, A=A* x (1+βΔt); //b=coefficient of area expansionor (A-A*)/A*=βΔt=2αΔt=2/100=2% (β=2α) |
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