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Two uniform metal rods of length L(1)and...

Two uniform metal rods of length `L_(1)andL_(2)` and their linear coefficients of expansion `alpha_(1)andalpha_(2)` respectively, are connected to form a single rod of length `(L_(1)+L_(2))`. When the temperature of the combined rod is raised by ''`t^(@)C`'', the length of each rod increased by the same amount then `[(alpha_(2))/(alpha_(1)+alpha_(2))]` is

A

`( L_1)/( ( L_1 + L_2)`

B

`( L_1 + L_2)/( L_1)`

C

`( L_2)/( L_1 + L_2)`

D

`( L_1 + L_2)/( L_2)`

Text Solution

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The correct Answer is:
A
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