Correct Answer - Option 2 : The material is rigid
The correct answer is option 2) i.e. The material is rigid
CONCEPT:
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Poisson's ratio: It is defined as the ratio of transverse strain to longitudinal strain in the direction of the stretching force.
- When a material is stretched in one direction, it tends to get compressed in the direction perpendicular to the direction of the force.
- Thus, a longitudinal strain causes a transverse strain and vice versa.
- Poisson's ratio is positive for tensile deformation and negative for compressive deformation.
Poisson's ratio, \(\nu =- \frac{ϵ_t}{ϵ_l}\)
Where ϵt is the transverse strain and ϵl is the longitudinal strain.
EXPLANATION:
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Poisson's ratio zero means that there either transverse or longitudinal strain does not take place in the material.
- The material does not deform either in the lateral direction by the application of force or in the axial direction by the application of force.
- This happens when the material does not deform i.e. the material is rigid.
