Question

Hooke's law states that:

• A. Stress is irreversible to the strain of ideal solid
• B. Stress is directly proportional to strain of ideal solid
• C. Stress is independent of strain of ideal solid
• D. Strain is proportional to stress of ideal solids

Hint:

For Hooke's law, remember the fundamental relationship: stress is proportional to strain within the elastic limit. If stress increases, strain increases proportionally, but the material will return to its original shape once the stress is removed, provided the material remains in the elastic region.

Answer 1

The Correct Option is B

Hooke's law describes the relationship between the stress and strain in a material within the elastic limit. It states that the stress (force per unit area) applied to an elastic material is directly proportional to the strain (deformation) produced, as long as the material is within its elastic limit. The mathematical expression of Hooke's law is: \[ {Stress} = {Elastic Modulus} \times {Strain} \] - Option (1) is incorrect because stress is not irreversible in relation to strain in ideal solids. Hooke's law assumes linear elasticity, where the material returns to its original shape when the stress is removed.
- Option (2) is correct as Hooke’s law asserts that stress is directly proportional to strain in ideal solids (elastic materials) within the elastic limit.
- Option (3) is incorrect because stress depends directly on strain in ideal solids, especially within the elastic limit.
- Option (4) is incorrect because the proportional relationship in Hooke's law is between stress and strain, not the other way around.
Thus, the correct answer is option (2): Stress is directly proportional to strain of ideal solid.