Correct Answer - Option 4 : [M
0L
0T
0]
The correct answer is option 4) i.e. [M0L0T0]
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, \(\nu =- \frac{ϵ_t}{ϵ_l}\)
Where ϵt is the transverse strain and ϵl is the longitudinal strain.
EXPLANATION:
-
Poisson's ratio is the ratio between transverse and longitudinal strain.
- The strain is the ratio of two like quantities. Thus, the strain has no dimensions.
- As a result, Poisson's ratio will be the ratio of two dimensionless quantities.
- So, Poisson's ratio is dimensionless and its dimensional formula will be [M0L0T0].