For homogeneous isotropic material, which one of the following cannot be the value of Poisson's ratio?

A wire of length $L$ and radius $r$ is rigidly fixed at one end. On stretching the other end of the wire with a force $F$, the increase in length is $I$. If another wire of the same material but double the length and radius is stretched with a force $2 F$, then increase in length is

A wire of length ' $L$ ' and area of cross section ' $A$ ' is made of material of Young's modulus ' $r$. It is stretched by an amount ' $x$ '. The work done in stretching the wire is

A lift is tied with thick iron ropes having mass ' $M$ '. The maximum acceleration of the lift is ' $a$ ' $\mathrm{m} / \mathrm{s}^2$ and maximum safe stress is ' S ' $\mathrm{N} / \mathrm{m}^2$. The minimum diameter of the rope is