A mutation in the second base of the codon UGA (which is a stop codon) would change it to UAA or UGA (the possible variations being UGA originally). If we consider a specific change, for example, changing UGA to UGC, the new codon now codes for cysteine instead of signaling the end of translation. This would mean that translation would continue beyond where it normally would have stopped.
Therefore, if UGA mutates and results in a codon that codes for an amino acid instead of being a stop codon, the resulting protein would most likely be unusually long because translation would continue until a new stop codon is reached.
The correct answer would be: The resulting protein would most likely be unusually long.