A linear force–deformation relation is obtained in materials:
Try it first: pick an option, then read the explanation.
Correct answer: A. having elastic stress–strain property
Asked in SSC JE 25/01/2018 (Morning)
Detailed Explanation
This version of the question does not offer ‘following Hooke's law’, so we pick the closest option.
Why “having elastic stress–strain property” Is Correct
A material with an elastic stress–strain property (in the usual linear-elastic, Hookean sense) gives force proportional to deformation. Plastic behaviour is non-linear and permanent, and a rigid material does not deform at all. So (a) is the best answer here.
Why the Other Options Are Wrong
- B. having plastic stress–strain property: Plastic deformation is non-linear and permanent.
- C. which are rigid elastic materials: A rigid material has no deformation, so no force–deformation relation.
- D. None of these: Option (a) is acceptable here.
Key Point
Linear elastic (Hookean) material → P ∝ δ.
Key Concepts for Students
- Compare with the version of this question that offers ‘following Hooke's law’.
- Rubber is elastic but non-linear.
- Linear behaviour allows superposition.
Practice more: this is question 29 in Stress and Strain MCQs – Part 2. Try the whole set and check every answer instantly.