Recall the definition of resistance

where

is the length of the wire,

is the cross-sectional area of the wire, and

is the resistivity of the wire material. Let

be the current that runs from the

terminal to the

through the Nichrome wire. Then by Ohm's Law the following relationship must hold:

This implies that

Therefore, the potential difference across the smaller wire is

Therefore, the potential at the junction is

Therefore, answer (A) is correct.