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According to Hooke’s law
  • a)
    For small deformations the stress and strain are inversely proportional to each other
  • b)
    For small deformations the stress is proportional to square of strain
  • c)
    For large deformations the stress and strain are proportional to each other
  • d)
    For small deformations the stress and strain are proportional to each other
Correct answer is option 'D'. Can you explain this answer?
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According to Hooke’s lawa)For small deformations the stress and ...
Hook’s Law states that for small deformations the stress and strain are proportional to each other.
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According to Hooke’s lawa)For small deformations the stress and ...
Explanation:

Hookes Law:
Hookes Law states that for small deformations, the stress and strain in a material are directly proportional to each other. This means that if you apply a force to a material, it will deform in a linear manner, with the amount of deformation being directly proportional to the applied force.

Small Deformations:
For small deformations, the stress and strain are proportional to each other. This means that if you double the stress applied to a material, the resulting strain will also double. This linear relationship holds true as long as the material is not subjected to large deformations.

Inverse Proportionality:
Contrary to option A, stress and strain are not inversely proportional for small deformations. In fact, they are directly proportional to each other. This means that as the stress increases, the strain will also increase in a linear manner.
Therefore, the correct statement according to Hookes Law is option D: for small deformations, the stress and strain are proportional to each other.
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Community Answer
According to Hooke’s lawa)For small deformations the stress and ...
Option c
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According to Hooke’s lawa)For small deformations the stress and strain are inversely proportional to each otherb)For small deformations the stress is proportional to square of strainc)For large deformations the stress and strain are proportional to each otherd)For small deformations the stress and strain are proportional to each otherCorrect answer is option 'D'. Can you explain this answer?
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