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Question

Hooke’s Law holds good up to


A

Yield point

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B

Limit of Proportionality

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C

Breaking Point

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D

Elastic Limit

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Solution

The correct option is B

Limit of Proportionality


Explanation for the correct answer

Option (B)

Step 1: Hooke's law

  1. Hooke's law states that the strain (say x) of the material is proportional to the applied stress (say F). i.e. Fx.
  2. So the ratio of stress to strain is constant. i.e, Fx=constant, where F is the stress and x is the strain.

Step 2: Diagram of Hooke's law

In the diagram, it is clear that Hooke's law holds good till the limit of proportionality, since Fx=constant , the point of proportionality is mentioned in point A on the diagram. At point A the ratio of stress and strain is constant, which satisfies Hooke's law.

Explanation for the incorrect answer

  1. In the figure points, B and E are referred as to elastic (yield point) and breaking point, respectively.
  2. But the ratio of stress and strain is not constant here, which means Hooke's law is not applicable here.

So, Hooke’s Law holds good up to the Limit of Proportionality. Option (B) is correct.


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