Correct Answer - Option 4 : None of the above
The correct answer is option 4) i.e. None of the above
CONCEPT:
-
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 for any material lies in the range of 0 to 1.
Poisson's ratio, \(\nu =- \frac{ϵ_t}{ϵ_l}\)
Where ϵt is the transverse strain and ϵl is the longitudinal strain.
EXPLANATION:
- The Poisson's ratio for any material that is fixed should be between 0 and 1.
- There can be no material that has Poisson's ratio less than zero and greater than 1.
- Therefore, the correct answer is 'none of the above.
