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Question

A metal wire is stretched beyond its elastic limit and released, then wire

A
loses its elastic property completely and it will not contract.
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B
will contract to its original length.
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C
will contract till it achieves its elastic limit.
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D
will contract but its final length will be greater than original length.
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Solution

The correct option is D will contract but its final length will be greater than original length.
Stress-strain graph of a ductile material is shown in figure.


OAProportional limit
OBElastic limit
BUpper yield stressCLower yield stress
DUltimate strength
EFracture
Point B shows yield point. Material is elastic up to this point B. If the material is strained up to point B, then on releasing it will regain its original shape

If material is strained beyond B, then it will get deformed permanently, i.e if it is released after straining upto point B, it will have an elongation represented by OQ.
The material will contract but it won't regain original shape, rather its length will be larger than original.

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