1.

An iron bar of length l and cross-section A is heated from 0°C to 100°C. If the rod is so held that it is not permitted to expand or bend, the force developed in it is :

Answer»

directly PROPORTIONAL to length
inversely proportional to length
independent of length
inversely proportional to area of cross-section

Solution :Change in length `Deltal=alDeltaT`
Stress = `F/A` and STRAIN= `(Deltal)/l`
Now Y =`F/Axxl/(Deltal)=F/Axxl/(alphalDeltaT)` or` ~F=YalphaADeltaT`
Clearly F does not depend upon length. Hence the correct CHOICE is (C).


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