Explanations:The question pertains to the geographical location of rivers in Karnataka, specifically focusing on the historical site of Vijayanagar. Vijayanagar, also known as Hampi, is an ancient city located in the northern part of Karnataka. The city is renowned for its historical and archaeological significance, being the capital of the Vijayanagara Empire from the 14th to the 16th century.
Among the rivers in Karnataka, the Krishna River is one of the major water bodies that flows through the northern part of the state. The Krishna River originates in the Western Ghats and flows through the states of Maharashtra, Karnataka, and Andhra Pradesh before emptying into the Bay of Bengal. In Karnataka, the Krishna River flows in the northern region, which includes the area around Vijayanagar.
The Tungabhadra River, another significant river in the region, is a tributary of the Krishna River. It flows through the southern part of Vijayanagar and is known for its historical and cultural importance. However, it does not flow into the northern part of Vijayanagar.
The Ganga River, also known as the Ganges, is a major river in northern India and does not flow through Karnataka. It originates in the Himalayas and flows through several states in northern India before emptying into the Bay of Bengal.
Therefore, the correct answer is the Krishna River, as it is the major river that flows into the northern part of Vijayanagar. This question tests the geographical knowledge of rivers in Karnataka and their specific locations in relation to historical sites such as Vijayanagar.