A boat is moving due east in a region where the earth's magnetic field is $$5.0 \times 10^{-5} \, \text{NA}^{-1} \text{m}^{-1}$$ due north and horizontal. The boat carries a vertical aerial $$2 \, \text{m}$$ long. If the speed of the boat is $$1.50 \, \text{ms}^{-1}$$, the magnitude of the induced emf in the wire of aerial is:

A

$$0.75 \, \text{mV}$$

B

$$0.50 \, \text{mV}$$

C

$$0.15 \, \text{mV}$$

D

$$1 \, \text{mV}$$