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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 moduli `Y_(1)` and `Y_(2)` , and coefficient of linear expansion `alpha_(1)` and `alpha_(2)` . The system is now cooled and it is observed that junction between the rods does not shift at all for the condition..

A

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

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A
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