A resistance wire of length $0.60\ \text{m}$ and diameter $0.25\ \text{mm}$ has a resistance of $6.0\ \Omega$. Another piece of resistance wire made from the same material has diameter $0.50\ \text{mm}$ and also a resistance of $6.0\ \Omega$. Determine the length of the second piece of wire.
- A$0.15\ \text{m}$
- B$0.30\ \text{m}$
- C$1.20\ \text{m}$
- D$2.40\ \text{m}$