Question

At yield point, Hooke’s law doesn’t hold good
A) True
B) False

Answer 1

Hint: Hooke’s Law: Hooke’s law states that the strain of the material is proportional to the applied stress within the elastic limit of that material.

Formula used: $F = - k.x$
  F = force
  x = extension
  k = spring constant

Step by step solution:
The yield point is the point on a stress strain curve that indicates the limit of the elastic behavior and the beginning of the plastic behavior. Yielding means the start of breaking of fibers.

Thus, Hooke’s law doesn’t hold good in this region, as stress is not proportional to strain in this region.

Additional information:Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean. Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.

Note:While solving these types of questions one should have a clear understanding of the stress strain diagram and all the terms involved in it. Sometimes we get confused with terms like elastic and plastic. Both are different terms and we should have a clear understanding of these terms then only we can give a correct answer.