The correct answer is B) the Eastern Roman Empire became the Byzantine Empire.
What became of the Eastern Roman Empire after the collapse of the Western Roman Empire was that the Eastern Roman Empire became the Byzantine Empire.
Roman Emperor Constantine 1 had decided to move the capital of the Roman Empire from Rome to Constantinople(modern-day Turkey), in Byzantium, a strategic place to trade for its connection to the sea. So after the fall of the West Roman Empire, the Byzantine Empire was the continuation of the empire for the other 1000 years. The Byzantine Empire ended with the invasion of the Ottomans in 1453.
