Within elastic limit prove that young modulus of a material is the str

1.	Within elastic limit prove that young modulus of a material is the stress required to double the length of wire.
Answer» Let the elastic law be stress = E * strain initially, strain =0, so stress is 0. Strain = change in length/ original length so double length means strain = (2L-L)/L = 1 therefore, stress = 1*E The modulus = stress/1 = stress Therefore modulus is the stress required to double the length

Within elastic limit prove that young modulus of a material is the stress required to double the length of wire.

Answer»

Let the elastic law be stress = E * strain

initially, strain =0, so stress is 0.

Strain = change in length/ original length

so double length means strain = (2L-L)/L = 1

therefore, stress = 1*E

The modulus = stress/1 = stress

Therefore modulus is the stress required to double the length