Ifa mass M produces an elongation of AL in a wire of radius r and length L, then the young's - Physics - Gravitation

Question

Ifa mass M produces an elongation of AL in a wire of radius r and
length L, then the young's modulus of the material of the wire is
given by

Vaibhav Tiwari · Accepted Answer

Dear Student,

Hook's law states that under the elastic limit stress is directly proportional to strain
stress α strainstress=elastic constant×strainstressstrain=elastic constantYoungs Modulus states that translational stress subjected to a body is directly proportionalto the linear strain produced in the body
i
e, stress α strainstress=forceArea=FAstress=Mgπr2and strain=∆LLAgain, stressstrain=elastic constantMgπr2∆LL=Youngs ModulusY=MgLπr2∆L

Regards

Ifa mass M produces an elongation of AL in a wire of radius r and length L, then the young's modulus of the material of the wire is given by