Question

There are two wires of same material and same length wiley diameter of second wire is two times the diameter of earth wire then ratio of extension produced in the wire by applying same load will be

Answer 1

We know that,

Stress is proportional to strain

F/A =y. E/L

So elongation is inversely proportional to area,
Radius is doubled, area is 4times,
So elongation is reduced by 4 times.
So,
1:4