In copper wire X, which has radius $5.0 \times 10^{-5}\,\text{m}$, free electrons move along the wire with an average drift speed of $2.8 \times 10^{-2}\,\text{m s}^{-1}$. The current in this wire is $3.0\,\text{A}$. Copper wire Y has a current of $2.0\,\text{A}$ and a radius of $1.0 \times 10^{-4}\,\text{m}$. What is the average drift speed of the free electrons in copper wire Y?
- A$4.7 \times 10^{-3}\,\text{m s}^{-1}$
- B$9.3 \times 10^{-3}\,\text{m s}^{-1}$
- C$1.1 \times 10^{-2}\,\text{m s}^{-1}$
- D$1.9 \times 10^{-2}\,\text{m s}^{-1}$