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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. OA→Proportional limit OB→Elastic limit B→Upper yield stressC→Lower yield stress D→Ultimate strength E→Fracture 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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