Question

there are four iron rods A B C and D of the same dimensions the temperature of A is raised ti 560 degree Celsius that of b to 250 degree celcius and C to 1000 degree Celsius and that of D to 800 degree Celsius which of the rod will have the maximum linear expansion
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Answer 1

Answer:

its not the exact answer for your question but this answer may help you to solve

Explanation:

=Stress×Area=Y×Strain×Area. Thus, Force is proportional to area (or square of radii).

Thus, forces will be in ratio 1:2:3:4 (but stresses will be same, because stress is independent of area, depending only on strain and Y)

Energy stored per unit volume= 1/2×stress×strain=1/2×Y×(Strain)

2

Now, strain = αΔT, hence independent of area. Thus, energy per unit volume is independent of area. Thus energy stored will be proportional to Area×length, and length being same, it will be proportional to area. Thus 1:2:3:4

Hope it helps you !!