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Two rods, one of aluminium and the other made of steel, having initial length l1 and l2 are connected together to form a single rod of length l1+l2. The coefficients of linear expansion for aluminium and steel are αa and αs respectively. If the length of each rod increases by the same amount when their temperature are raised by t0C, then find the ratio l1(l1+l2)

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a

αsαa

b

αaαs

c

αs(αa+αs)

d

αa(αa+αs)

answer is C.

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Detailed Solution

Given ∆l1 = ∆l2 or l1αat = l2αstl1l2= αsαa or l1l1+l2 = αsαa+αs

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Two rods, one of aluminium and the other made of steel, having initial length l1 and l2 are connected together to form a single rod of length l1+l2. The coefficients of linear expansion for aluminium and steel are αa and αs respectively. If the length of each rod increases by the same amount when their temperature are raised by t0C, then find the ratio l1(l1+l2)