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A metallic rod l cm long, A square cm in...

A metallic rod l cm long, A square cm in cross-section is heated through `t^(@)"C"`. If Young’s modulus of elasticity of the metal is E and the mean coefficient of linear expansion is `alpha` per degree celsius, then the compressional force required to prevent the rod from expanding along its length is

A

`Y Aalphat`

B

`(Yaalphat)/(1-alphat)`

C

`(Yaalphat)/(1+alphat)`

D

`(YA(1+alphat))/(alpha)`

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The correct Answer is:
A
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