Question

two wires made of same material and ratio of their length is 1 is to 2 and ratio of radius is 2 is to 1 if they are stretched by same force calculate the ratio of increase in length​

Answer 1

Answer:

We know that the young's modulus is given by,

Y=stress/strain=(F/A)/strain

=>strain=F/AY

where,

F = force applied

A = area of cross section

since the wires are made of same material so there young's modulus will be same.

Also the force applied and the area of cross section is same (because radius is same)

Hence,

strain

1

/strain

2

=F₁A₂Y₂/F₂A₁Y₁=1

So, the ratio of strain will be 1:1 despite of the ratio of length.