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A rod, of length L at room tempera ture ...

A rod, of length L at room tempera ture and uniform area of cross section A, is made of a metal having coefficient of linear expansion `alpha//""^(@)C`. It is observed that an external compressive force F, is applied on each its ends, prevents any change in the length of the rod, when its temperature rises by `DeltaTK.` Young's modulus, Y, for this metal is :

A

`(f)/(AalphaDeltaT)`

B

`(F)/(Aalpha(DeltaT-273)`

C

`(F)/(2AalphaDeltaT)`

D

`(2F)/(AalphaDeltaT)`

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