Question

There are two wires of same material . Their radii and lengths are both in the ratio 1:2 . If the extensions produced are equal , What is the ratio of loads ? ​

Answer 1

$\huge\mathbb\red{SoLuTiOn~:-}$

length 1 / length 2 = 1 / 2 and

radius 1 / radius 2 = 1 / 2

Y = FL / πr² × ∆L

F1 / F2 = ( r1 / r2 )² × ( L1 / L2 )²

F1 / F2 = ( 1 / 2 )² × 2 / 1

F1 / F2 = 1 / 4 × 2 / 1

$\huge\boxed{\fcolorbox{cyan}{green}{F1~/~F2~=~1~/~2}}$