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If the ratio of lengths, radii and Young...

If the ratio of lengths, radii and Young.s modulus of the steel and brass rods in the figure are a, b,c respectively, find the ratio of increase in their lengths ?

Text Solution

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`Y=(F)/(A),(L)/(e) rArr e=(F,L)/(AY),e=(F.L)/(pi r^(2)Y)`
`rArr (e_(S))/(e_(B))=(3M)/(2M),((a)/(1)) ((1)/(b^(2)))((1)/(c)), (e_(S))/(e_(B))=(3a)/(2b^(2)c)`
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