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The stress-strain graph for a metal wire that obeys Hooke's law will be a

The stress-strain graph for a metal wire that obeys Hooke's law will be a Correct Answer Straight line through origin

The correct answer is option 1) i.e. Straight line through origin

CONCEPT:

  • Hooke's law: Hooke’s law states that the strain of a material is proportional to the applied stress within the elastic limit of that material.

The stress vs strain graph for a solid material is as shown

  • The limit of proportionality is the point up to which a material obeys Hooke's law i.e. the stress will be proportional to strain.
  • The ratio of stress by strain is called the modulus of elasticity.
  • Elastic limit is the point beyond which if an object is stressed, it will not regain its original shape.
  • The yield point is that point beyond which the object snaps.

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EXPLANATION:

  • A metal wire that obeys Hooke's law will have stress and strain that are proportional to each other when subjected to an external load.
  • Hence, from the stress vs strain graph, it is inferred that this metal wire will show a linear variation of stress-strain and the graph will be a straight line passing through the origin.

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