The ratio stress/strain remains constant for small deformation of a metal wire. When the deformation is made larger, will this ratio increase or decrease?
Answers
The Increment or decrements in the Ratio of the stress to the strain depends upon the material of the object.
The Scientific term for the Stress to the Strain is called as the Coefficient of the Elasticity or the modulus of the elasticity.
We know that the Modulus of the elasticity or commonly the ''Young Modulus of the Elasticity'' (for the ratio of Normal Stress to the Longitudinal strain), depends upon the material of the object or the body.
For example, Rubber have a less Young Modulus because the increase in strain is more than the force is applied per unit area (or stress). After the certain limit called as the limit of the Elasticity, the substance cannot returns back to its original state after this stage is reached.
So there Hooke's law will not be obeyed and hence the ratio can increase or decrease depending upon the material of the object.
Hope it helps.