The diagram represents a wire with diameter $D$ and length $L$, fixed securely at one end between two blocks of wood. A load is then hung from the wire, causing it to increase in length by $x$. A second wire is made from the same material, but has diameter $2D$ and length $3L$. Both wires obey Hooke’s law. What is the extension of the second wire when the same load is applied?
- A$\frac{2}{3}x$
- B$\frac{3}{4}x$
- C$\frac{4}{3}x$
- D$\frac{3}{2}x$