Question

State and prove Hook's law.​

Answer 1

Answer:

Hooke's Law is a scientific law concerning itself with the elasticity of materials. It states that when a force is applied to a material, the displacement of that material will be directly proportional to the force applied. ... Hooke's Law applies, so long as the material is within it's elastic limit.

Answer 2

Answer:

Hooke's law states that the strain induced in a material is directly proportional to the stress applied on it under its elastic limit.

or, stress = k strain

here, k = E or the modulus of elasticity. E is the proportionality constant.

Experimentally, Hooke's law can be proved by taking a wire and suspending it after fixing one of its end to a support. Now, if we apply force per unit of its area, (till its elastic limit), we will notice that the change in its length increases with the stress applied. Therefore, we can infer that F/A = k or E (delta L/L).