Physics · Elastic behaviour, stress-strain relationship, Hooke's Law

A metal wire upon excess stress moves to a region of permanent set. Before yield

A metal wire upon excess stress moves to a region of permanent set. Before yielding to the fracture stress, it undergoes an extension equal to twice its length in its plastic region. The nature of the metal is

  • A. Brittle
  • B. Ductile
  • C. Perfectly elastic
  • D. Perfectly plastic

Step-by-step solution

A material that undergoes an extension equal to twice its original length in the plastic region before fracturing exhibits high ductility. Brittle materials show little to no plastic deformation, perfectly elastic materials have no permanent deformation, and perfectly plastic materials deform without strain hardening but typically do not achieve such high extensions. Therefore, the metal is ductile.
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