The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the samne tersion is applied?

Options

A. length 50 cm, diameter = 0.5 mm
B. length 100 cm, diameter = 1 mm
C. length 200 cm, diameter = 2 mm
D. length 300 cm, diameter = 3 mm

Answer

A

Explanation

`((T)/(piD^(2)))/(4)=Y(Deltal)/(l)`
`Deltal=(4pil)/(piYD^(2))`

`Deltalprop(l)/(D^(2))rArrDeltal` is maximum for A.