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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)propto_(1)and y_(2)prop _(2)`

B

`y_(1)propto_(2)and y_(2)prop _(1)`

C

`y_(1)propto_(1)^(2)and y_(2)prop _(2)^(2)`

D

`y_(1)^(2)propto_(1)and y_(2)^(2)prop _(2)`

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