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Question

An iron bar of length l, cross section A and Young's modulus Y is heated from 0 to 100oC. If this bar is held so that it is not permitted to expand, the force F that is developed, is proportional to :

A
l
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B
l
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C
l0
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D
l1
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Solution

The correct option is C l0
α be its coefficient of expansion.
If the wire was true, ΔL=Lα(100)
But now it is not allowed to bend or expand.
Force developed =100LαAYL=100αAY

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