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According to Hooke's law, stress and strain

  • A.are directly proportional
  • B.are inversely proportional
  • C.have unpredictable relationship
  • D.are curvilinearly related

Answer: A

Stress and strain are directly proportional.

Hooke's law states that within the elastic limit, stress is proportional to strain, \(\sigma = E\varepsilon\), where the constant of proportionality E is the modulus of elasticity. On a stress-strain graph this is the straight-line portion that starts at the origin.

An inverse relation would mean more stress gives less strain, which is impossible. The relationship is predictable and linear within the elastic limit, so the 'unpredictable' and 'curvilinear' options describe the material only beyond the limit of proportionality, where Hooke's law no longer applies.

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