The Sun Temple of Konark was indeed built by Narasimhadeva I. To correctly identify the dynasty he belonged to, let`s analyze each option:

1) Somavamsi dynasty: This dynasty ruled in the Odisha region from the 10th to the 12th century. While they made significant contributions to the region`s art and culture, they were not responsible for the construction of the Sun Temple of Konark.

2) Imperial Ganga dynasty: The correct answer. The Imperial Ganga dynasty was a ruling dynasty in the Odisha region from the 11th to the 15th century. Narasimhadeva I, a prominent ruler of this dynasty, commissioned the construction of the magnificent Sun Temple of Konark.

3) Suryavamsi Gajapti dynasty: This dynasty ruled in the Odisha region from the 14th to the 16th century. While they were known for their patronage of the arts, they did not build the Sun Temple of Konark.

4) Bhoi dynasty: This dynasty ruled in Odisha from the 16th to the 19th century. They did not exist during the time of the construction of the Sun Temple.

Therefore, the correct answer is option