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A metal rod of length L and cross - sect...

A metal rod of length L and cross - sectional area A is heated through `T^@ C` What is the force required to prevent the expansion of the rod lengthwise ? [ Y = Young's modulus of the material of rod , `alpha` = coefficient of linear expansion .]

A

`(Y A alpha T)/((1 - alpha T))`

B

`(Y A alpha T)/((1 + alpha T))`

C

`((1 - alpha T))/(Y A alpha T)`

D

`((1 + alpha T))/(Y A alpha T)`

Text Solution

Verified by Experts

The correct Answer is:
B
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