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

Two rods, one of aluminium and other made of steel, having initial lengths `l_(1) and l_(2)` are connected together to form a single rod of length `(l_(1)+l_(2))`. The coefficient of linear expansions for aluminium and steel are `alpha_(a)` and `alpha_(s)` respectively. If length of each rod increases by same amount when their tempertures are raised by `t^(@)C`, then find the ratio `l_(1) (l_(1)+l_(2))`.

A

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

B

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

C

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

D

None of these

Text Solution

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The correct Answer is:
A
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