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

Two rods having length `I_(1) and I_(2)`, made of materials with the linear expansion coefficient `alpha_(1) and alpha_(2)`. were soldered together. The equivalent coefficient of linear expansion for the combined rod is :

A

`(I_(1) alpha_(2) + I_(2) alpha_(1) )/( I_(1) + I_(2) )`

B

`(I_(1) alpha_(2) + I_(2) alpha_(2) )/( alpha_(1) + alpha_(2) )`

C

`( I_(1) alpha_(1) + I_(2) alpha_(2) )/( I_(1) + I_(2) )`

D

`(I_(2) alpha_(1) + I_(1) alpha_(2) )/( alpha_1 + alpha_2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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