Step 1: Understanding the question.
The question asks about the mother goddess of Vijayanagar, an ancient kingdom in South India known for its grandeur and culture.
Step 2: Historical context.
Pampa Devi is historically recognized as the mother goddess worshiped in the Vijayanagar Empire. She was considered the consort of the deity Virupaksha, one of the principal gods of the empire.
Step 3: Analysis of the options.
• (A) Hampa Devi: Incorrect. While the name "Hampi" is significant in Vijayanagar history, Hampa Devi is not the recognized goddess.
• (B) Champa Devi: Incorrect. There is no significant historical figure known as Champa Devi in the Vijayanagar context.
• (C) Pampa Devi: Correct. Pampa Devi is considered the mother goddess of the Vijayanagar Empire and is highly revered in their religious practices.
• (D) Nanda Devi: Incorrect. Nanda Devi is a prominent goddess in other regions, but not associated with Vijayanagar.
Step 4: Conclusion.
Thus, the correct answer is (C) Pampa Devi, as she was the mother goddess revered in the Vijayanagar Empire.
Final Answer: Pampa Devi.