A Cable Stretches by an Amount D When It Supports

Multiple Choice

A cable stretches by an amount d when it supports a crate of mass M. The cable is replaced by another cable of the same material having the same length and twice the diameter. If the same crate is supported by the thicker cable, by how much will the cable stretch?

A) d/4
B) d/2
C) d
D) 2d
E) 4d