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Two metal rods of the same length and ar...

Two metal rods of the same length and area of cross-section are fixed end to end between rigid supports. The materials of the rods have Young module `Y_(1)` and `Y_(2)` , and coefficient of linear expansion `alpha_(1)` and `alpha_(2)` . The junction between the rod does not shift and the rods are cooled

A

`Y_(1) alpha_(1) =Y_(1) alpha_(2)`

B

`Y_(1) alpha_(2) =Y_(2) alpha_(1)`

C

`Y_(1) alpha_(1)^(2)=Y_(2) alpha_(2)^(2)`

D

`Y_(1)^(2) alpha_(1) =Y_(2)^(2) alpha_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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