Two wires are of the same material have masses in the ratio 3:4 What is the ratio of their - Physics - Mechanical Properties of Solids and Fluids

Question

Two wires are of the same material have masses in the ratio 3:4
What is the ratio of their extensions under the same load , if
their lengths are in the ratio 9:10?

Rajnish Kumar · Accepted Answer

Dear Student
using Hooke's law
Y=FLA∆L∆L=FLAY=FLmLρY  =FLmLρY=FL2ρmY  =FρY×L2m=cL2m  (where c=FρY= constant)∆L1∆L2=L12m1L22m2=L1L22×m2m1=9102×43=81100×43=2725
Regards

Two wires are of the same material have masses in the ratio 3:4. What is the ratio of their extensions under the same load , if their lengths are in the ratio 9:10?