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Two rods, one of aluminium and the other...

Two rods, one of aluminium and the other made of steel, having initial length `l_1 and l_2` are connected together to from a single rod of length `l_1+l_2.` The coefficients of linear expansion for aluminium and steel are `alpha_a and alpha_s` and respectively. If the length of each rod increases by the same amount when their temperature are raised by `t^0C,` then find the ratio `l_1//(l_1+l_2)`

A

`(alpha_(s))/(alpha_(a))`

B

`(alpha_(a))/(alpha_(s))`

C

`(alpha_(s))/((alpha_(a)+alpha_(s)))`

D

`(alpha_(a))/((alpha_(a)+alpha_(s)))`

Text Solution

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The correct Answer is:
C
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