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Question

A metal wire is pulled by equal forces at the ends. The stress-strain (x) relationship of the wire is given. Point B of the graph is the elastic limit

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Solution

(A) For x<x1 hook's law of elasticity is valid and when the stress is removed, wire will regain its original shape again means there is no permanent deformation.
A->2,3
(B) For, x1<x<x2hook's law is not valid but wire will regain its shape if stress is removed.
B->3
(C) For, x2<x<x3 a Permanent deformation occurs if the wire crosses x2 and even if stress is removed wire's length will keep on increasing.
C->1
(D) At x=x3 there is already a permanent deformation and wire has reached upto its breaking stress. Now if furthere more stress is applied then wire breaks.
D->1,4

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