The dimensions of four wires of the same material an given below. In which wire the increase in the length will be maximum?

Options

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

Answer

D

Explanation

`Y=(F)/(A)(L)/(A)implieslprop(L)/(A)prop(L)/(pid^2)`
`becauselprop(L)/(d^2)` [As F and Y are constant]
The ratio of `(L)/(d^2)` is maximum for case (d)