The correct answer is A. 2.
A duplex lap winding is a type of armature winding in a DC generator in which each coil is connected to two adjacent commutator segments. This means that there are two parallel paths through the armature winding.
To calculate the number of parallel paths in a DC generator, we can use the following formula:
Number of parallel paths = Number of poles / Number of coils per pole
In a two-pole generator with a duplex lap winding, there are two poles and two coils per pole. Therefore, the number of parallel paths is 2.
The other options are incorrect because they do not represent the number of parallel paths in a two-pole generator with a duplex lap winding.