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Q.

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
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