If a bar is made of copper whose coefficient of linear expansion is one and a half times that of iron, the ratio of force developed in the copper bar to the iron bar of identical lengths and cross-sections, when heated through the same temperature range (Young's modulus of copper may be taken to the equal to that of iron) is
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a
3/2
b
2/3
c
9/4
d
4/9
answer is A.
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Detailed Solution
F=YαTA or F∝α ( ∵YTA is same for both copper and iron) or FC∝αC and FI∝αI ∴ FCFI=3/21=32