Consider two wires X and Y. The radius of wire X is 3 times the radius of Y. If they are stretched by the same load then the stress on Y is

Consider two wires X and Y. The radius of wire X is 3 times the radius

1.	Consider two wires X and Y. The radius of wire X is 3 times the radius of Y. If they are stretched by the same load then the stress on Y is
Answer» equal to that on X THRICE that on X nine times that on X HALF that on X Solution :STRESS = `F/A` Stress on `X = (F_x)/(A) = (F_x)/(pir_x^2), "Stress on" Y = (F_y)/A = (F_y)/(PI r_y^2)` If `F_x = F_y`, so, `r_x = 3r_y` `(("Stress")_x)/("Stress")_(y) = (pi r_y^2)/(pi r_x^2) = (r_y^2)/(9 r_y^2)` `("Stress")_(y) = 9 ("Stress")_(x)`