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Two rods having length l(1) and l(2), ma...

Two rods having length `l_(1)` and `l_(2)`, made of materials with the linear coefficient of expansion `alpha_(1)` and `alpha_(2)` were welded together. The equivalent coefficients of linear expansion for the obtained rod:-

A

A) `(l_(1)alpha_(2)+l_(2)alpha_(1))/(l_(1)+l_(2))`

B

B) `(l_(1)alpha_(1)+l_(2)alpha_(2))/(alpha_(1)+alpha_(2))`

C

C) `(l_(1)alpha_(1)+l_(2)alpha_(2))/(l_(1)+l_(2))`

D

D) `(l_(2)alpha_(1)+l_(1)alpha_(2))/(alpha_(1)+alpha_(2))`

Text Solution

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The correct Answer is:
C
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